Solution Manual Engineering Economy Sullivan Wicks 17th Edition – Updated 2024
Complete Solution Manual With Answers
Sample Chapter Is Below
Solutions to Chapter 2 Problems
A Note To Instructors: Because of volatile energy prices in today’s world, the instructor is encouraged to vary energy
prices in affected problems (e.g. the price of a gallon of gasoline) plus and minus 50 percent and ask students to
determine whether this range of prices changes the recommendation in the problem. This should make for stimulating in-
class discussion of the results.
2-1 The total mileage driven would have to be specified (assumed) in addition to the variable cost of fuel per
unit (e.g. $ per gallon). Also, the fixed cost of both engine blocks would need to be assumed. The
efficiency of the traditional engine and the composite engine would also need to be specified
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-2 (a) 4 – sunk
(b) 5 – opportunity
(c) 3 – fixed
(d) 2 – variable
(e) 6 – incremental
(f) 1 – recurring
(g) 7 – direct
(h) 8 – nonrecurring
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-3 (a) # cows =
miles/year 000 , 000 ,1 miles/day) (15 days/year) 365 (
= 182.6 or 183 cows
Annual cost = (1,000,000 miles/year)($10 / 60 miles) = $166,667 per year
Annual cost of gasoline = 1,000,000 miles/year
30 miles/gallon × $4/gallon = $133,333 per year
It would cost $33,334 more per year to fuel the fleet of cars with gasoline.
(b) © 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-4 Cost Site A Site B
Rent Hauling = $5,000 (4)(200,000)($1.50) = $1,200,000 = $100,000
(3)(200,000)($1.50) = $900,000
Total $1,205,000 $1,000,000
Note that the revenue of $8.00/yd3 is independent of the site selected. Thus, we can maximize
profit by minimizing total cost. The solid waste site should be located in Site B.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-5 Present cost to company = $1,000,000 + 40 repairs × 24 hrs/repair × $2,500/hr = $3,400,000
With Ajax, the cost to your company = $2,000,000 + 40 repairs × R hrs/repair × $2,500/hr
Ajax is preferred if
2,000,000 + 100,000R ≤ $3,400,000
or
R ≤ 14 hours/breakdown.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-6 The $97 you spent on a passport is a sunk cost because you cannot get your money back. If you decide
to take a trip out of the U.S. at a later date, the passport’s cost becomes part of the fixed cost of making
the trip (just as the cost of new luggage would be).
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-7 If the value of the re-machining option ($60,000) is reasonably certain, this option should be chosen.
Even if the re-machined parts can be sold for only $45,001, this option is attractive. If management is
highly risk adverse (they can tolerate little or no risk), the second-hand market is the way to proceed to
guarantee $15,000 on the transaction.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-8 The certainty of making $200,000 – $120,000 = $80,000 net income is not particularly good. If your
friend keeps her present job, she is turning away from a risky $80,000 gain. This “opportunity cost” of
$80,000 balanced in favor of a sure $60,000 would indicate your friend is risk averse and does not want
to work hard as an independent consultant to make an extra $20,000 next year.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-9 (a) If you purchase a new car, you are turning away from a risky 20% per year return. If you are a risk
taker, your opportunity cost is 20%, otherwise; it is 6% per year.
(b) When you invest in the high tech company’s common stock, the next best return you’ve given up is
6% per year. This is your opportunity cost in situation (b).
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-10 Let X equal dollars per item delivered, and set total revenue equal to total cost:
$X (15 items/hr) = $42.00/hr + ($0.50/item)(15 items/hr)
X = ($49.50/hr) / (15 items/hr)
X = $3.30 per item
At least $3.30 per item delivered on Sunday will be needed to break even.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-11 (a) Students can use Equation (2-10) to determine D*
.
D*
75−30
=
= 225 units/month
0.2
and
(b) Then
p = 75 – 0.1(225) = $52.50 per unit
TR = 225 units × $52.50/unit = $11,812.50
CT = $1,000 + $30/unit × 225 units = $7,750
Maximum profit = TR – CT = $11,812.50 − $7,750 = $4,062.50 per month
Using the quadratic equation to solve for the breakeven points:
45 ± √(−45)2 − 4(0.1)(1,000)
𝐷′
=
0.2
45 ± 40.3
𝐷′
=
0.2
′
𝐷1
= 24 (rounded up from 23.5)
′
𝐷2
= 426 (rounded down from 426.5)
Thus, the profitable range of demand is from 24 to 426 units per month.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-12 Re-write the price-demand equation as follows: p = 2,000 – 0.1D. Then,
TR = p D = 2,000D – 0.1D2
.
The first derivative of TR with respect to D is
d(TR) / dD = 2,000 – 0.2D
This, set equal to zero, yields the D
that maximizes TR. Thus,
2,000 – 0.2 D
= 0
D
= 10,000 units per month
What is needed to determine maximum monthly profit is the fixed cost per month and the variable cost
per lash adjuster.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-13 p = 150 0.01D CF = $50,000 cv = $40/unit
Profit = 150D 0.01D2
50,000 40D = 110D 0.01D2
50,000
d(Profit)/dD = 110 0.02D = 0
D
= 5,500 units per year, which is less than maximum anticipated demand
At D = 5,500 units per year, Profit = $252,500 and p = $150 0.01(5,500) = $95/unit.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-14 (a) (b) D* = (a – Cv) / 2b = (700 – 131.50) / 0.10 = 568.5 / 0.10 = 5,685 103 board-feet
Price = $700 – (0.05)(5,685) = $415.75 per 103 board feet
Profit (per month) = pD – CF – CvD
= $415.75(5,685) – $1,000,000 – $131.50(5,685)
= 2,363,539 – 1,000,000 – 747,578
= $615,961/ month
–bD2 + (a – Cv)D – CF = 0
b= 0.05
(a – Cv) = 568.5
CF = 1,000,000
−0.05D2 + 568.5D – 1,000,000 = 0
D’1,2 = -568.5 ± [ (568.5)2
– 4(-0.05)(-1,000,000)]1/2
D1 D2 2 (-0.05)
= -568.5 ± [ 323,192.25 – 200,000]1/2
-0.10
= (-568.5 + 351) / (-0.10) = 2,175
= (-568.5 – 351) / (-0.10) = 9,195
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.D
+ 1700
2700
5000
2-15 (a) Profit = D
38 2
-D
1000
–
40
D
D
5000
= 38D + 2700 –
-1000 – 40D
Profit = -2D – 5000
d
(Profit)
d
D
D
= -2 + 5000
D2 = 0
5000
or, D2
=
= 2500 and D*
= 50 units per month
2
(b) d
2 (Profit)
d
D2 = 10 000 ,
D3 < 0 for D > 1
Therefore, D* = 50 is a point of maximum profit.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-16 Profit = Total revenue – Total cost
= (15X – 0.2X2) – (12 + 0.3X + 0.27X2)
= 14.7X – 0.47X2 – 12
d
Profit
0.94X – 14.7 = 0 =
d
X
X = 15.64 megawatts
d
2
Profit
Note: profit maximizes megawatts 15.64 = X thus,0.94- =
d
X
2
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-17 (a) Using Equation (2-10),
180 − 40
𝐷∗
=
2(5)
= 14 units per week
(b) Total profit = −5(142) + (180 – 40)(14)
= −980 + 140(14)
= $980/wk
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-18 20,000 tons/yr. (2,000 pounds / ton) = 40,000,000 pounds per year of zinc are produced.
The variable cost per pound is $20,000,000 / 40,000,000 pounds = $0.50 per pound.
(a) Profit/yr = (40,000,000 pounds / year) ($1.00 – $0.50) – $17,000,000
= $20,000,000 – $17,000,000
= $3,000,000 per year
The mine is expected to be profitable.
(b) If only 17,000 tons (= 34,000,000 pounds) are produced, then
Profit/yr = (34,000,000 pounds/year)($1.00 – $0.50) – $17,000,000 = 0
Because Profit =0, 17,000 tons per year is the breakeven point production level for this mine. A loss
would occur for production levels < 17,000 tons/year and a profit for levels > 17,000 tons per year.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-19 (a) (b) (c) BE = $1,500,000 / ($39.95 − $20.00) = 75,188 customers per month
New BE point = $1,500,000 / ($49.95 − $25.00) = 60,120 per month
For 63,000 subscribers per month, profit equals
63,000 ($49.95 − $25.00) − $1,500,000 = $71,850 per month
This improves on the monthly loss experienced in part (a).
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-20 (a) D = C
F
=
p – c
v
$2,000,000
($90 – $40) / unit = 40,000 units per year
$10,000,000
$9,000,000
$8,000,000
Profit
$6,000,000
Breakeven
Point
$6,000,000
$4,000,000
Loss
$2,000,000
Fixed Cost
D’ = 40,000 units
$0
0 20,000 40,000 60,000 80,000 100,000
Number of Units
(b) Profit (Loss) = Total Revenue – Total Cost
(90% Capacity) = 90,000 ($90) – [$2,000,000 + 90,000 ($40)]
= $2,500,000 per year
(100% Capacity) = [90,000($90) + 10,000($70)] – [$2,000,000 + 100,000($40)]
= $2,800,000 per year
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-21 Annual savings are at least equal to ($60/lb)(600 lb) = $36,000. So the company can spend no more than
$36,000 (conservative) and still be economical. Other factors include ease of maintenance / cleaning,
passenger comfort and aesthetic appeal of the improvements. Yes, this proposal appears to have merit
so it should be supported.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-22 Jerry’s logic is correct if the AC system does not degrade in the next ten years (very unlikely). Because
the leak will probably get worse, two or more refrigerant re-charges per year may soon become
necessary. Jerry’s strategy could be to continue re-charging his AC system until two re-charges are
required in a single year. Then he should consider repairing the evaporator (and possibly other faulty
parts of his system).
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-23 Over 81,000 miles, the gasoline-only car will consume 2,700 gallons of fuel. The flex-fueled car will
use 3,000 gallons of E85. So we have
(3,000 gallons)(X) + $1,000 = (2,700 gallons)($3.89/gal)
and
X = $3.17 per gallon
This is 18.5% less expensive than gasoline. Can our farmers pull it off – maybe with government
subsidies?
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-24 (a) 𝐶𝑦 = 𝑐𝑣𝑋 Eqn. (2-8)
$2,000,000 = 𝑐𝑣(2000 𝑡𝑜𝑛𝑠)
𝑐𝑣 = $1,000/ton = $0.50/ lb.
Profit = [𝑠𝑝 – 𝑐𝑣]X – 𝐶𝐹
= [ $0.80/lb – $0.50/ lb] 4,000,000 lb – $700,000
= $500,000
(b) X’
= 𝐶𝐹 / (𝑠𝑝 – 𝑐𝑣) Eqn. (2-13)
= $700,000 / ($0.80/lb – $0.50/ lb)
= 2,333,333 lbs
𝑐𝐹 = 𝐶𝐹 / X’ = $700,000 / 2,333,333 lbs = $0.30 / lb
OR
X’(𝑠𝑝 – 𝑐𝑣) = 𝑐𝐹 X’ at breakeven point
𝑐𝐹 = (𝑠𝑝 – 𝑐𝑣) = ($0.80/lb – $0.50/ lb) = $0.30/ lb
(c) 𝑐𝑇 = (X𝑐𝑣 + 𝐶𝐹) / X
= [ 4,000,000 lb ($0.50/lb) + $700,000] / 4,000,000 lb
= $0.675/ lb
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-25 (a) Ownership cost = $120 + $0.60X where X = horsepower rating.
Operating cost = $0.055
hp-hour (1
X) × 9000 hp-hour
Total annual cost = 120 + 0.60X + 0.055(9000)
= 120 + 0.6X + 495
X
dAC
dX = 0.6 – 495X-2 = 0
X
(b) X = 28.72 horsepower
For X to be a minimum of the function in part (a), show that d2AC
dX2 > 0.
d2AC
dX2 = 990X-3 which is greater than 0 for all positive values of X.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-26
+ C knv 2
$1,500n
=C
= C +
coT
v
d
C
T
1,500
– 2kv = 0 =
3
kv =
750 –
2
d
v
v
750
= v
3
k
To find k, we know that
C
o = $100/mile at v = 12 miles/hr
n
C
o 2 2
= kv = k(12) = 100
n
and
so, v =
3
= 10.25 miles / hr
.
k = 100 / 144 = 0.6944
750
0.6944
The ship should be operated at an average velocity of 10.25 mph to minimize the total cost of operation
and perishable cargo.
Note: The second derivative of the cost model with respect to velocity is:
d
2
C
T
3,000 +1.388n =
d
2
v
The value of the second derivative will be greater than 0 for n > 0 and v > 0. Thus we have found a
minimum cost velocity.
n
3
v
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-27 Solve for k: CG / n = kv v in miles/hr
1/18 mils/gal = k (70 miles/hr) ; k = 1 hr – gal / 1,260 mi2 = 0.000794 hr-gal/mi2
CG = (0.000794 hr-gal/mi2)(3000)(v)($3.60/gal) = 8.5752 hr-gal/mi2
CFSS = ($15,000/hr)(1/v)
Find CT
CT = ($8.5752 hr/mi2)(v mi/hr) + ($15,000/hr)(v
-1hr/mi)($/mi)
d CT / dv = 8.5752 −15,000/v
2 = 0
v
2 = 15,000/8.5752
v
* = 41.82 mi/hr
Check d2 CT / dv
2 = 30,000v
-3 which is positive for v > 0, therefore we have minimized the total cost
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-28 (293 kWh/106 Btu)($0.15/kWh) = $43.95/106 Btu
R11 R19 R30 R38
A. Investment cost $2,400 $3,600 $5,200 $6,400
B. Annual Heating Load (106 Btu/yr) 74 69.8 67.2 66.2
C. Cost of heat loss/yr $3,252 $3,068 $2,953 $2,909
D. Cost of heat loss over 25 years $81,308 $76,693 $73,836 $72,737
E. Total Life Cycle Cost = A + D $83,708 $80,293 $79,036 $79,137
Select R30 to minimize total life cycle cost.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-29 (a) d
I
C C C t = 0
d
2 R
or, 2 = CI/CRt
and, * = (CI/CRt)1/2; we are only interested in the positive root.
2
(b) d
I
C 2C for > 0
2 0
3
d
Therefore, * results in a minimum life-cycle cost value.
(c) Investment cost versus total repair cost
C
CR··t
$
CI
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-30 180 rpm 1 cycle = (12 jacks/refurb.)(1 +4 refurb.) / (7 jacks/hr) = 60/7 = 8.57 hrs
Cost per cycle = 1 brush —- $90
4 refurb. — 4($30)
Oper. Cost – 8.57 hr. ($70/hr)
= $810/cycle
Cost per jack = $810/60 = $13.50/jack
240 rpm 1 cycle = (8 x 3) / 10 = 2.4 hrs
Cost per cycle = $90 + 2($30) + 2.4hr ($70/hr) = $318/cycle
Cost per jack = $318/24 = $13.25/jack
300 rpm 1 cycle = (6 x 2) / 12 = 1hr
Cost per cycle = $90 + 1($30) + 1hr ($70/hr) = $190/cycle
Cost per jack = $190/12 = $15.83/jack
Select 240 rpm
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-31 (a) (b) With Dynolube you will average (20 mpg)(1.01) = 20.2 miles per gallon (a 1% improvement).
Over 50,000 miles of driving, you will save
miles 50,000
miles 50,000
of gallons 75 . 24
gasoline.
mpg 20
mpg 20.2
This will save (24.75 gallons)($4.00 per gallon) = $99.
Yes, the Dynolube is an economically sound choice.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-32 The cost of tires containing compressed air is ($200 / 50,000 miles) = $0.004 per mile. Similarly, the
cost of tires filled with 100% nitrogen is ($220 / 62,500 miles) = $0.00352 per mile. On the face of it,
this appears to be a good deal if the claims are all true (a big assumption). But recall that air is 78%
nitrogen, so this whole thing may be a gimmick to take advantage of a gullible public. At 200,000 miles
of driving, one original set of tires and three replacements would be needed for compressed-air tires.
One original set and two replacements (close enough) would be required for the 100% nitrogen-filled
tires. What other assumptions are being made?
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-33 (a)
Speed Drilling Rate
(ft/min)
Bit life at this Speed
(min)
A 2 10
B 3 6
C 4 3
Given: rock drill with 3 operating speeds
Cost= bit cost + operator cost (+ blasting penalty)
1 cycle = 96 ft. of drilling
Operator cost = $30/hr = $0.50/min
Bit cost = $10.00/each
Speed A – Cycle = 96ft / 2fpm = 48 min
Bit cost- 48 min/ 10 min/bit = 4.8 bits x $10 each = $48.00
Oper. Cost- 48 min x $0.50/min $24.00
$72.00/cycle
$0.75/ft
Cost/ft. = $72.00/cycle / 96 ft/cycle = Speed B – Cycle = 96ft / 3fpm = 32 min
Bit cost- 32 min/ 6 min/bit = 5.33 bits x $10 each = $53.33
Oper. Cost- 32 min x $0.50/min $16.00
$69.33/cycle
$0.72/ft
Cost/ft. = $69.33/cycle / 96 ft/cycle = Speed C – Cycle = 96ft / 4fpm = 24 min
Bit cost- 24 min/ 3 min/bit = 8 bits x $10 each = Oper. Cost- 24 min x $0.50/min $80.00
$12.00
$92.00/cycle
Cost/ft. = $92.00/cycle / 96 ft/cycle = $0.96/ft
Choose Speed B
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-33 (b) Penalty of $60.00/hour for cycle time greater than 30 minutes
$60/hr = $1.00/min
Speed A- Cycle Time = 48 min
Total cost/cycle = $72.00 + (48-30)$1.00 = $90.00
(includes penalty) ($0.9375/ft)
Speed B- Cycle Time = 32 min
Total cost/cycle = $69.33 + (32-30)$1.00 = $71.33
(includes penalty) ($0.743/ft)
Speed C- Cycle Time = 24 min (no penalty
Total cost/cycle = $92.00
($0.958/ft)
Speed B still has the lowest cost per cycle, now the cost per foot is $0.743/ft
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-34 (a) Manufacturing Option A
Labor = (40 x 5)($10) = $2000/wk.
Rental = $20,000
Σ = $22,000
Material = $15/unit
Purchase Option B = $20/unit
$22,000 + $15(x) = $20(x)
$22,000/5 = 𝑥̂
𝑥̂ = 4,400 units/wk = Breakeven amount
(b) $22,000 + $15(3500) [< or > ] $20 (3500)
$74,500 > $70,000
Purchase this item
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-35 Strategy: Select the design which minimizes total cost for 125,000 units/year (Rule 2). Ignore the sunk
costs because they do not affect the analysis of future costs.
(a) Design A
Total cost/125,000 units = (12 hrs/1,000 units)($18.60/hr)(125,000)
+ (5 hrs/1,000 units)($16.90/hr)(125,000)
= $38,463, or $0.3077/unit
Design B
Total cost/125,000 units = (7 hrs/1,000 units)($18.60/hr)(125,000)
+ (7 hrs/1,000 units)($16.90/hr)(125,000)
= $33,175, or $0.2654/unit
(b) Select Design B
Savings of Design B over Design A are:
Annual savings (125,000 units) = $38,463 − $33,175 = $5,288
Or, savings/unit = $0.3077 − $0.2654 = $0.0423/unit.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-36 Profit per day = Revenue per day – Cost per day
= (Production rate)(Production time)($30/part)[1-(% rejected+% tested)/100]
– (Production rate)(Production time)($4/part) – (Production time)($40/hr)
Process 1: Profit per day = (35 parts/hr)(4 hrs/day)($30/part)(1-0.2) –
(35 parts/hr)(4 hrs/day)($4/part) – (4 hrs/day)($40/hr)
= $2640/day
Process 2: Profit per day = (15 parts/hr)(7 hrs/day)($30/part) (1-0.09) –
(15 parts/hr)(7 hrs/day)($4/part) – (7 hrs/day)($40/hr)
= $2155.60/day
Process 1 should be chosen to maximize profit per day.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-37 At 70 mph your car gets 0.8 (30 mpg) = 24 mpg and at 80 mph it gets 0.6(30 mpg) = 18 mpg. The extra
cost of fuel at 80 mph is:
(400 miles/18mpg – 400 miles/24 mpg)($4.00 per gallon) = $22.22
The reduced time to make the trip at 80 mph is about 45 minutes. Is this a good tradeoff in your
opinion? What other factors are involved?
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-38 (a) (b) Operation 1 cycle time = 1 hr + 0.333 hr = 1.333 hr/cycle
Cycles/day = (8hr/day)(1 cycle/ 1.333 hr) = 6 cycle/day
Value added = (2000 parts/cycle)(6 cycles/day)($0.40/part)
= $4,800/day
Cost1 = 8 hr/day ($20/hr) = $160/day
Value – cost = $4,800 – $160 = $4,640/day
Operation 2 cycle time = 2 hr + 0.5 hr = 2.5 hr/cycle
Cycles/day = (8hr/day)(1 cycle/ 2.5 hr) = 3.2 cycle/day
Value added = (3500 parts/cycle)(3.2 cycles/day)($0.40/part)
= $4,480/day
Cost2 = 8 hr/day ($11/hr) = $88/day
Value – cost = $4,480 – $88 = $4,392/day
Select Operation 1 to maximize profit
Output/day for Operation 1 = 12,000 parts and output/.day for Operation 2 = 11,200 parts.
Downtime for Operation 1 = 6 x 20 min = 120 minutes/day and downtime for Operation 2 = 3.2
x 30 = 96 minutes/day. So increased production for Operation 1 is being traded off for increased
tool changing time (downtime), and the balance is favorable for Operation 1 compared to
Operation 2.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-39 Apache: (24 hr/day)(7 days/wk) – 4 = 164 hrs/wk uptime
(90 hits/min) (60 min/hour) = 5,400 hits/hr
(5,400 hits/hr) (164 hrs/wk) = 885,600 hits/wk @ $0.015/hit
= $13,284/wk
Profit/yr. = ($13,284/wk)(52 wk/yr) = $690,768
Windows IIS: (24 hr/day)(7 days/wk) – 0.75 = 167.25 hrs/wk uptime
(5,400 hits/hr) (167.25 hrs/wk) = 903,150 hits/wk @ $0.015/hit
= $13,547.25/wk
Profit/yr. = ($13,547.25/wk)(52 wk/yr) – $5,000 = $699,457
Go with Windows software.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-40 Option A (Purchase):
CT = (10,000 items)($8.50/item) = $85,000
Option B (Manufacture):
Direct Materials = $5.00/item
Direct Labor = $1.50/item
Overhead = $3.00/item
$9.50/item
CT = (10,000 items)($9.50/item) = $95,000
Choose Option A (Purchase Item).
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-41 The two alternatives are “no jig with a skilled machinist” and “use a jig with a lesser skilled machinist.”
No jig: (1.5 min/housing)/(60 min/hr)($25/hr)(4000 housings) = $2,500
With jig: (1 min/2 housings)/(60 min/hr)($15/hr)(4000 housings) + $500 = $1,000
Recommend using a jig to reduce production cost.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-42 Assumptions: You can sell all the metal that is recovered
Method 1: Recovered ore = (0.62)(100,000 tons) = 62,000 tons
Removal cost = (62,000 tons)($23/ton) = $1,426,000
Processing cost = (62,000 tons)($40/ton) = $2,480,000
Recovered metal = (300 lbs/ton)(62,000 tons) = 18,600,000 lbs
Revenues = (18,600,000 lbs)($0.8 / lb) = $14,880,000
Profit = Revenues – Cost = $14,880,000 – ($1,426,000 + $2,480,000)
= $10,974,000
Method 2: Recovered ore = (0.5)(100,000 tons) = 50,000 tons
Removal cost = (50,000 tons)($15/ton) = $750,000
Processing cost = (50,000 tons)($40/ton) = $2,000,000
Recovered metal = (300 lbs/ton)(50,000 tons) = 15,000,000 lbs
Revenues = (15,000,000 lbs)($0.8 / lb) = $12,000,000
Profit = Revenues – Cost = $12,000,000 – ($750,000 + $2,000,000)
= $9,250,000
Select Method 1 (62% recovered) to maximize total profit from the mine.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-43 Profit per ounce (Method A) = $1,750 – $550 / [(0.90 oz. per ton)(0.90)] = $1,750 – $679
= $1,071 per ounce
Profit per ounce (Method B) = $1,750 – $400 / [(0.9 oz. per ton)(0.60) =$1,750 – $741
= $1,009 per ounce
Therefore, by a slim margin we should recommend Method A.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-44 (a) False; (d) False; (g) False; (j) False; (m) True; (p) False; (s) False
(b) False; (e) True; (h) True; (k) True; (n) True; (q) True;
(c) True; (f) True; (i) True; (l) False; (o) True; (r) True;
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-45 (a)
coal lb
Btu 1,750,000
Btu 12,000
Loss
of lbs 486
coal
0.30
(b) 486 pounds of coal produces (486)(1.83) = 889 pounds of CO2 in a year.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-46 (a) Let X = breakeven point in miles
Fuel cost (car dealer option) = ($2.00/gal)(1 gal/20 miles) = $0.10/mile
Motor Pool Cost = Car Dealer Cost
X$0.10/mi + $0.20/mi + ($30/day) days) (6 = X($0.36/mi)
$0.30X + 180 = $0.36X and X = 3,000 miles
(b) 6 days (100 miles/day) = 600 free miles
If the total driving distance is less than 600 miles, then the breakeven point equation is given by:
($0.36/mi)X = (6 days)($30 /day) + ($0.10/mi)X
X = 692.3 miles > 600 miles
This is outside of the range [0, 600], thus renting from State Tech Motor Pool is best for distances
less than 600 miles.
If driving more than 600 miles, then the breakeven point can be determined using the following
equation:
($0.36/mi)X = (6 days)($30 /day) + ($0.20/mi)(X – 600 mi) + ($0.10/mi)X
X = 1,000 miles The true breakeven point is 1000 miles.
(c) The car dealer was correct in stating that there is a breakeven point at 750 miles. If driving less
than 900 miles, the breakeven point is:
($0.34/mi)X = (6 days)($30 /day) + ($0.10/mi)X
X = 750 miles < 900 miles
However, if driving more than 900 miles, there is another breakeven point.
($0.34/mi)X = (6 days)($30/day) + ($0.28/mi)(X-900 mi) + ($0.10/mi)X
X = 1800 miles > 900 miles
The car dealer is correct, but only if the group travels in the range between 750 miles and 1,800
miles. Since the group is traveling more than 1,800 miles, it is better for them to rent from State
Tech Motor Pool.
This problem is unique in that there are two breakeven points. The following graph shows the two
points.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-46 continued
Car Dealer v. State Tech Motor Pool
Total Cost
$1,000
$900
$800
$700
$600
$500
$400
$300
$200
$100
$0
X2‘ = 1,800 miles
X1‘ = 750 miles
Car Dealer
State Tech
0 500 1000 1500 2000 2500
Trip Mileage
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-47 This problem is location specific. We’ll assume the problem setting is in Tennessee. The eight years
($2,400 / $300) to recover the initial investment in the stove is expensive (i.e. excessive) by traditional
measures. But the annual cost savings could increase due to inflation. Taking pride in being “green” is
one factor that may affect the homeowner’s decision to purchase a corn-burning stove.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-48
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
A B C D E F G H I J K L M N O P
Fixed cost/
mo. = 73,000$
Demand Start
point (D) = 0
Net Income
Variable
cost/unit = 83$
Demand
Increment = 250
a = 180$
b = 0.02$
$40,000
Monthly
Demand
Price per
Unit
Total
Revenue $20,000
Total Expense Net income
0 180$ –
$ 73,000
$
$ (73,000)
$-
250 175$ 43,750 $ 93,750
$
$ (50,000)
500 170$ 85,000 $ 114,500
$
$ (29,500)
750 165$ 123,750 $ 135,250
$
$ (11,500)
1000 160$ 160,000 $ 156,000
$
$ 4,000
Net Income
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
$(20,000)
$(40,000)
1250 155$ 193,750 $ 176,750
$
$ 17,000
1500 150$ 225,000 $ 197,500
$
$ 27,500
1750 145$ 253,750 $ $ 35,500
218,250
$
$(60,000)
2000 140$ 280,000 $ $ 41,000
239,000
$
2250 135$ 303,750 $ 259,750
$
$ 44,000
$(80,000)
2500 130$ 325,000 $ 280,500
$
$ 44,500
2750 125$ 343,750 $ $ 42,500
301,250
$
$(100,000)
3000 120$ 360,000 $ $ 38,000
322,000
$
Volume (Demand)
3250 115$ 373,750 $ $ 31,000
342,750
$
3500 110$ 385,000 $ 363,500
$
$ 21,500
3750 105$ 393,750 $ 384,250
$
$ 9,500
4000 100$ 400,000 $ 405,000
$
$ (5,000)
$600,000
4250 95$ 403,750 $ 425,750
$
$ (22,000)
4500 90$ 405,000 $ 446,500
$
$ (41,500)
4750 85$ 403,750 $ 467,250
$
$ (63,500)
$500,000
5000 80$ 400,000 $ 488,000
$
$ (88,000)
5250 75$ 393,750 $ 508,750
$
$ (115,000)
5500 70$ 385,000 $ 529,500
$
$ (144,500)
$400,000
Summary of impact of changes in cost components on optimum
demand and profitable range of demand.
Cash Flow
$300,000
Total Revenue
Total Expense
Percent Change
$200,000
CF cv D* D1
‘ D2
‘
-10% -10% 2,633 724 4541
$100,000
0% -10% 2,633 824 4443
10% -10% 2,633 928 4339
-10% 0% 2,425 816 4036
$-
0% 0% 2,425 932 3918
10% 0% 2,425 1060 3790
0
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
-10% 10% 2,218 940 3495
0% 10% 2,218 1092 3343
Volume (Demand)
10% 10% 2,218 1268 3167
$600,000
$500,000
$400,000
$300,000
Cash Flow
Total Revenue
$200,000
Total Expense
Net income
$100,000
$-
$(100,000)
$(200,000)
0
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
5500
Volume (Demand)
Reducing fixed costs has no impact on the optimum demand value, but does broaden the profitable range
of demand. Reducing variable costs increase the optimum demand value as well as the range of
profitable demand.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-49 New annual heating load = (230 days)(72 °F 46 °F) = 5,980 degree days. Now, 136.7 106 Btu are
lost with no insulation. The following U-factors were used in determining the new heating load for the
various insulation thicknesses.
U-factor Heating Load
R11 0.2940 101.3 106 Btu
R19 0.2773 95.5 106 Btu
R30 0.2670 92 106 Btu
R38 0.2630 90.6 106 Btu
$/kWhr $/106 Btu
Energy Cost $0.086 $25.20
R11 R19 R30 R38
Investment Cost 900 $ 1,350$ 1,950$ 2,400$
Annual Heating Load (106 Btu) 101.3 95.5 92 90.6
Cost of Heat Loss/yr $2,553 $2,406 $2,318 $2,283
Cost of Heat Loss over 25 years $63,814 $60,160 $57,955 $57,073
Total Life Cycle Cost $64,714 $61,510 $59,905 $59,473
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-50 In this problem we observe that “an ounce of prevention is worth a pound of cure.” The ounce of
prevention is the total annual cost of daylight use of headlights, and the pound of cure is postponement
of an auto accident because of continuous use of headlights. Clearly, we desire to postpone an accident
forever for a very small cost.
The key factors in the case study are the cost of an auto accident and the frequency of an auto accident.
By avoiding an accident, a driver “saves” its cost. In postponing an accident for as long as possible, the
“annual cost” of an accident is reduced, which is a good thing. So as the cost of an accident increases,
for example, a driver can afford to spend more money each year to prevent it from happening through
continuous use of headlights. Similarly, as the acceptable frequency of an accident is lowered, the total
annual cost of prevention (daytime use of headlights) can also decrease, perhaps by purchasing less
expensive headlights or driving less mileage each year.
Based on the assumptions given in the case study, the cost of fuel has a modest impact on the cost of
continuous use of headlights. The same can be said for fuel efficiency. If a vehicle gets only 15 miles
to the gallon of fuel, the total annual cost would increase by about 65%. This would then reduce the
acceptable value of an accident to “at least one accident being avoided during the next 16 years.” To
increase this value to a more acceptable level, we would need to reduce the cost of fuel, for instance.
Many other scenarios can be developed.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-51 Suppose my local car dealer tells me that it costs no more than $0.03 per gallon of fuel to drive with my
headlights on all the time. For the case study, this amounts to (500 gallons of fuel per year) x $0.03 per
gallon = $15 per year. So the cost effectiveness of continuous use of headlights is roughly six times
better than for the situation in the case study.
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-52 p = 400 – D2
TR = p D = (400 – D2) D = 400D – D3
TC = $1125 + $100 D
Total Profit / month = TR – TC = 400D – D3
– $1125 – $100D
= – D3 + 300D – 1125
d
TP
= -3D2 + 300 = 0 D2 = 100 D* = 10 units
d
D
d
2
TP
d
D
2
d
2
TP
= -6D; at D = D*, 2
d
D
= – 60
Negative, therefore maximizes profit.
Select (a)
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-53 – D3 + 300D – 1125 = 0 for breakeven
At D = 15 units; -153 + 300(15) – 1125 = 0
Select (b)
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-54 CF = $100,000 + $20,000 = $120,000 per year
CV = $15 + $10 = $25 per unit
p = $40 per unit
= D
C
F
$120,000
=
units/yr 8,000 =
c – p
$25) – ($40
v
Select (c)
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-55 Profit = pD – (CF + CVD)
At D = 10,000 units/yr,
Profit/yr = (40)(10,000) – [120,000 + (25)(10,000)] = $30,000
Select (e)
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-56 Profit = pD – (CF + CVD)
60,000 = 35D – (120,000 + 25D)
180,000 = 10D; D = 18,000 units/yr
Select (d)
© 2019 Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-57 Annual profit/loss = Revenue – (Fixed costs + Variable costs)
= $300,000 [$200,000 + (0.60)($300,000)]
= $300,000 $380,000
= $80,000
Select (d)
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.2-58 Savings in first year = (7,900,000 chips) (0.01 min/chip) (1 hr/60 min) ($8/hr + 5.50/hr) = $17,775
Select (d)
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
There are no reviews yet.