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University of British Columbia *
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481
Subject
Economics
Date
Jun 11, 2024
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Pages
4
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Assignment 6 EECE/CPEN 481
Instructor: Jeff Carmichael
1.
Problem 1 (0.5 points) 2.
Problem 2 (1.5 points) 3.
Problem 3 (0.5 points) 4.
Problem 4 5.
Problem 5 (0.5 points) 6.
Problem 6 (2 points) 7.
Problem 7
1.
Problem 1 Five years ago, when the relevant cost index was 105, a nuclear centrifuge cost $10,000,000. The centrifuge had a capacity of separating 4 litres of ionized solution per second. Today, a centrifuge with a capacity of 6.4 litres per second is needed, but the cost index now is 170. Assume a power-
sizing exponent to reflect economies of scale, x, of 0.72, and use the power-sizing model. a.
Determine the approximate cost of the larger new reactor, without adjusting for the cost index, meaning the cost in ‘five-years-ago dollars’. Round to the nearest hundred thousand dollars. b.
Determine the approximate cost of the new reactor, expressed in today’s dollars. Round to the nearest hundred thousand dollars. 2.
Problem 2 The provincial highway department is analyzing the reconstruction of a mountain road to Tofino. The vehicle traffic increases each year; hence the benefits to the motoring public also increase. Based on a traffic count, the benefits are projected as follows: Year End-of-Year Benefit 2028 $10,000 2029 $12,000 2030 $14,000 2031 $16,000 2032 $18,000 2033 $20,000 etc And so on, increasing $2,000 per year The reconstructed pavement will cost $230,000 in real dollars (inflation has already been accounted for), if it is installed in 2027. If it is installed in a future year after that, the cost will be higher: construction costs are expected to rise 7.5% per year. It will have a 15-year useful life. In each potential situation where you are considering beginning the project, the construction will always occur in one year, and the benefits will begin the following year. Assume a 5% discount rate. The reconstruction, if done at all, must be operational no later than 2033 (so, the last possible year of construction is 2032). Based on NPW analysis, should the project be done, and if so, in what year should it be constructed? 3.
Problem 3 Sally lent a friend $10,000 at 15% interest, compounded annually. The loan will be repaid in five equal end-of-year payments. Sally expects the inflation rate to be 10%. After taking inflation into account, what rate of return is Sally receiving on the loan, rounded to the nearest tenth of a percent?
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Related Questions
No hand written solution and no img
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Output quantity
Total variable cost
Total cost
0
$0
$250
25
450
50
300
X
75
375
100
600
850
125
X
1125
150
1200
X
175
1875
200
2000
2250
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Total Fixed Total Variable
Labor
Output
(workers) (units per day) (dollars)
Cost
Cost
(dollars)
20
20
20
20
20
20
25
50
75
100
125
2
19
13
4.
16
1S
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SOLVE USING EXCEL PLEASE
There is no more information to provide. This should be all that is necessary.
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ATC, AAC, AVC, MC (/uni
270.00
24000
21000
180.00
150.00
120.00
10:00
60.00
30.00
0:00
02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34
Units of Output (0)
Unit Cost Curves
Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark
vertical line. The shaded rectangular area (height times width) is the
O average sunk cost.
O total sunk cost
O total avoidable fed cost.
O total avoidable cost.
O None of the above
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180.00
Short Run Cost Curves
Numerical Data Labels Are Adjacent ToTheir Associated Markers
(Markers Are The Squares, Dots, or Triangles On The Curves)
MC AVC ATC
162.60
160.00
140.00
130.20
120.00
101 40
100.00
92,56
90.60
80.00
85.80
84.92
80.91
80.60
77.74
76,20
16.20
77,68
60.00
61.80
54.60
54.60
48.60
40.00
43.80
40.20
40.20
37,80
36.60
36.60
37.80
2.20
20.00
1.40
0.00
13
15
16
17
18
19
20
21
10
11
12
14
Quantity
The figure shows a competitive firm in the paper clip industry. The price of a paper clip is $130.20.
The firm's profit is
O• $548.20
O • $751.05
O• $892,80
O • $1,096.24
180.00
Short Run Cost Curves
Numerical Data Labels Are Adjacent ToTheir Associated Markers
(Markers Are The Squares, Dots, or Triangles On The Curves)
160.00
162.60
MC AVC -ATC
140.00
130.20
120.00
100.00
101.40
92.56
80.00
RS 80
90.60
s0.91
84.92
16,20
80.60
774
76.20
77.68
60.00
54.60
61.80
54.60
40.00
48.60
40.20
43.80
37.80
40.20
36.60
20
36.60
20.00
140
0.00
10
11
12
13
14
15
16
17
18
19
20
21…
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Don't give answer in image format
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Question No. 6 A firm manufactures cars at its plant in Swindon. At a capacity of 100 cars per week it knows
that it has an assembly cost of £5,000 per car. It needs to expand production and does a series of design and cost
exercises. The results are summarized below.
|TP(cars/week)
200
400
600
800
1,000
1,200
1,400
1,600
Ass. cost/car
3,000
2,500
2,300
2,200
2,000
2,400
2,800
4,000
(i) Plot the cost curve for the possible factory extensions.
(ii) Is this a short run or long run cost curve?
(iii) Explain why this curve is U shaped.
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Please see the attached two pictures, one for the graph, and the other for the questions.
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How do I determine variable cost?
Only typed solution
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See the cost information in the table below.
The marginal cost of the 6th unit is
Quantity produced/day
Total Cost
Variable Cost
0
$100
0
1
$150
$50
2
$175
$75
3
$225
$125
4
$300
$200
5
$400
$300
6
$550
$450
Question 18 options:
a)
$30
b)
$150
c)
$100
d)
$50
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Which time period is the firm operating? Why?
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Eileen is a hard-working college sophomore. One Sunday, she decides to work nonstop until she has answered 250 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem.
Time
Total Problems Answered
8:00 AM
0
9:00 AM
100
10:00 AM
175
11:00 AM
225
Noon
250
Use the table to answer the following questions.
The marginal, or additional, gain from Eileen’s second hour of work, from 9:00 AM to 10:00 AM, is
problems.
The marginal gain from Eileen’s fourth hour of work, from 11:00 AM to noon, is
problems.
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Table 3
Average cost per discharge
2500
Cost center
5000
7500
10,000
15,000
20,000
discharges discharges discharges discharges dischares discharges
(100 beds) (136 beds) (200 beds) (270 beds) (310 beds) (440 beds)
Hospital administration 1.64
1.24
1.08
1.0
0.93
0.90
Public relations
1.12
0.98
0.97
1.0
1.03
1.07
General accounting
Communications
1.68
1.24
1.08
1.0
0.91
0.90
1.64
1.22
1.07
1.0
0.94
0.94
Purchasing
Patient accounts
Data processing
Credit and collectÍon
Medical records
+32
1.0
104
1.24
1.08
1.01
1.0
1.0
1.02
1.0
0.92
0.93
1.0
1.10
1.21
+24
106-
T.04
1.32
1.10
1.03
1.0
0.97
0.96
Printing and duplication 1.04
Personnel
1.02
1.01
1.0
0.98
0.97
1.32
1.06
1.0
1.0
1.02
1.06
Cafeteria
1.48
1.20
1.07
1.0
0.93
0.90
1.32
1.03
Laundry
Housekeeping
1.12
1.0
0.97
0.96
1.40
1.14
1.04
1.0
0.96
0.89
All cost centers
1.36
1.10
1.03
1.0
0.99
0.99
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1. Exercise 9.1
A study of 86 savings and loan associations in six northwestern states yielded the following cost
function.
2.38
0.006153Q
0.000005359Q²
19.2X1
C
+
+
(2.62)
(2.84)
(3.16)
(3.50)
where C = average operating expense ratio, expressed as a percentage and defined as total
operating expense ($ million) divided by total assets ($ million) times 100 percent.
Q = output; measured by total assets ($ million)
X1 = ratio of the number of branches to total assets ($ million)
Note: The number in parentheses below each coefficient is its respective t-statistic.
Which of the variable(s) is (are) statistically significant in explaining variations in the average
operating expense ratio? (Hint: t0.025,7€ 1.99
.) Check all that apply.
X1
Q2
What type of average cost-output relationship is suggested by these statistical results?
Quadratic
Linear
Cubic
Based on these results, what can we conclude about the existence of economies or diseconomies
of scale in savings and loan associations in…
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Solve this attachment.
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Please see attached.
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The President of ACME wants to know why he shouldn't produce at the point when average costs are the lowest. Explain to him why this is not the best production level.
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The Jones Company has the following cost schedule:
Output
Total Cost
(Units)
($)
3000
3750
100
4275
150
4675
200
5000
250
5300
300
5700
350
6250
400
7050
450
8225
Prepare (a) average total cost and (b) marginal cost schedules for the firm.
50
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Firm Measures: Productivity, Costs, Revenues, and Profits
Labor Total Product (TP) Fixed Cost (TFC) Variable Cost (TVC)
$800,000
$
0
$800,000
$ 800,000
$800,000
$800,000
d.
e.
f.
g.
0
1
2
4
5
6
1.
0
8000
30000
45000
56000
60000
63000
$800,000
$800,000
$800,000
$1,500,000
$2,250,000
$3,130,000
$4,200,000
$5,040,000
a.
Solve for marginal product (MP) in each row, except for where labor = 0.
b. After which worker does the region of diminishing marginal returns begin?
c. Specialization and division of labor are observed in which one of the three
Price
$80
$80
$80
$80
$80
$80
$80
regions?
Solve for total cost (TC) in each row.
Solve for average variable cost (AVC) in each row, except for where labor = 0.
Solve for marginal cost (MC) in each row, except for where labor = 0.
Why are the MC and MP inversely related to one another? While it is because as
one increases, the other decreases, please explain the meaning behind the inverse
relationship that exists between worker productivity and…
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Total Costs (000s of dollars)
20 000
18 000
16 000
14 000
12 000-
10 000-
8 000
6 000
4 000
2000
0
4000
0
2000
5
1000
10
15
20
Output (golf carts per month)
TC
TVC
Refer to the figure. How much is the total cost (TC) when the total output is zero?
TFC
T
25
30
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Break Even Analysis -Exercise FINC15
Exercise : Figurine Maker
Data for the break-even analysis (per month)
Selling rice per unit
PhP 1,000
Variable cost per unit
PhP 600
Fixed costs
PhP 16,000
Instruction: Kindly fill out the required data.
Units
Variable Cost
Fixed Cost
Total Cost
Total Sales
(VC)
(FC)
(Т)
Revenue
10
20
30
40
50
60
70
80
90
100
B. Based on the above data, kindly prepare a Cost, Volume, and Profit (CVP)
graph.
C. Calculate the following: Show your SOLUTIONS/COMPUTATION.
BEP in Units
BEP in Sales
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1. Exercise 9.1
A study of 86 savings and loan associations in six northwestern states yielded the following cost function.
C
2.38
(3.33)
0.006153Q
(3.08)
0.000005359Q²
(3.16)
19.2X₁
(2.96)
where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($
million) times 100 percent.
Q = output; measured by total assets ($ million)
X₁ = ratio of the number of branches to total assets ($ million)
Note: The number in parentheses below each coefficient is its respective t-statistic.
Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: £0.025,70 = 1.99.) Check
all that apply.
Q2
What type of average cost-output relationship is suggested by these statistical results?
○ Cubic
Linear
Quadratic
Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in the…
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Bags/Participants
Fixed Cost
Variable Cost
Total Cost
$1,700
$-
$1,700
100
$1,700
$500
$2,200
200
$1,700
इ1,200
$2,900
$1,700
$2,700
$4,400
300
$1,700
$5,200
$6,900
400
$1,700
$9,000
$10,700
500
$16,700
$1,700
$15,000
600
$1,700
$23,800
$25,500
700
$36,800
$38,500
$1,700
800
$55,800
$57,500
$1,700
900
$84,700
$83,000
$1,700
1,000
Given the above information on cost, if you charge $15 per entry, what is the breakeven quantity of bags that you should order? At what quantity of bags
will profits be maximized?
Please select any/all correct answers:
Using Qb = F/(MR - AVC) where Qb is the break even quantity, the event would break even at 283 bags.
%3D
O Using the profit-maximizing rule, MR 2 MC, the quantity of bags that will maximize profits is 200 bags.
O Using the profit-maximizing rule, MR > MC, the quantity of bags that will maximize profits is 300 bags.
O The break even quantity cannot be determined in this case.
«< Question 2 of 9
A Moving to another question will save this…
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Boeing Aircraft collected the following cost data on the first 8 units of its new business jet. Unit Number Cost ($ millions) Unit Number Cost ($ millions) $100 83 73 62 60 57 53 51 a. Estimate the learning curve for the new business jet. b. Estimate the average cost for the first 1,000 units of the jet. c. Estimate the cost to produce the 1,000th jet.
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please helps asap
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In the attached table, from 200 to 300 units of output, the average cost of
production is
in the short run.
Question 35
a rising
b
C
d
Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.
falling
constant
Output
0
indeterminant
100
200
300
400
Total Cost
$5,000
$5,700
$6,300
$7,100
$8,000
□
Variable Cost
$0
$700
$1,300
$2,100
$3,000
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H.W 7/ For the following data:
Fixed cost = 100,000 ID
Variable cost per unit = 300 ID
Selling price per unit=500 ID
n = 500
Calculate BEP by using chart method
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Table 11-7
Quantity of
Lanterns
75
80
90
100
115
117
120
B) $32
C) SI1.1
Fixed Cost
(dollars)
200
200
200
200
200
200
200
D) $8.1
Variable Cost
(dollars)
170
230
810
1264
1480
Total Cost
(dollars)
370
430
1464
Average Total
Cost (dollars)
Table 11-7 shows cost data for Lotus Lanterns, a producer of whimsical night lights.
Refer to Table 11-7. What is the marginal cost per unit of production when the firm produces 100 lanterns?
A) $420
4.93
5.36
7.67
11.8
12.5
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5. Costs in the short run versus in the long run
Ike's Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding
production to two or even three factories. The following table shows the company's short-run average total cost (SRATC) each month for various
levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.)
Number of Factories
1
2
3
Q = 100 Q 200
440
280
380
480
620
800
Average Total Cost
(Dollars per bike)
Q = 300
Q = 400
240
320
240
240
320
240
Q = 500
480
380
280
Q = 600
800
620
440
Suppose Ike's Bikes is currently producing 100 bikes per month in its only factory. Its short-run average total cost is $
per bike.
Suppose Ike's Bikes is expecting to produce 100 bikes per month for several years. In this case, in the long run, it would choose to produce bikes
using
On the following graph, plot the three SRATC curves for…
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Related Questions
- No hand written solution and no imgarrow_forwardOutput quantity Total variable cost Total cost 0 $0 $250 25 450 50 300 X 75 375 100 600 850 125 X 1125 150 1200 X 175 1875 200 2000 2250arrow_forwardTotal Fixed Total Variable Labor Output (workers) (units per day) (dollars) Cost Cost (dollars) 20 20 20 20 20 20 25 50 75 100 125 2 19 13 4. 16 1Sarrow_forward
- SOLVE USING EXCEL PLEASE There is no more information to provide. This should be all that is necessary.arrow_forwardATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the abovearrow_forward180.00 Short Run Cost Curves Numerical Data Labels Are Adjacent ToTheir Associated Markers (Markers Are The Squares, Dots, or Triangles On The Curves) MC AVC ATC 162.60 160.00 140.00 130.20 120.00 101 40 100.00 92,56 90.60 80.00 85.80 84.92 80.91 80.60 77.74 76,20 16.20 77,68 60.00 61.80 54.60 54.60 48.60 40.00 43.80 40.20 40.20 37,80 36.60 36.60 37.80 2.20 20.00 1.40 0.00 13 15 16 17 18 19 20 21 10 11 12 14 Quantity The figure shows a competitive firm in the paper clip industry. The price of a paper clip is $130.20. The firm's profit is O• $548.20 O • $751.05 O• $892,80 O • $1,096.24 180.00 Short Run Cost Curves Numerical Data Labels Are Adjacent ToTheir Associated Markers (Markers Are The Squares, Dots, or Triangles On The Curves) 160.00 162.60 MC AVC -ATC 140.00 130.20 120.00 100.00 101.40 92.56 80.00 RS 80 90.60 s0.91 84.92 16,20 80.60 774 76.20 77.68 60.00 54.60 61.80 54.60 40.00 48.60 40.20 43.80 37.80 40.20 36.60 20 36.60 20.00 140 0.00 10 11 12 13 14 15 16 17 18 19 20 21…arrow_forward
- Don't give answer in image formatarrow_forwardQuestion No. 6 A firm manufactures cars at its plant in Swindon. At a capacity of 100 cars per week it knows that it has an assembly cost of £5,000 per car. It needs to expand production and does a series of design and cost exercises. The results are summarized below. |TP(cars/week) 200 400 600 800 1,000 1,200 1,400 1,600 Ass. cost/car 3,000 2,500 2,300 2,200 2,000 2,400 2,800 4,000 (i) Plot the cost curve for the possible factory extensions. (ii) Is this a short run or long run cost curve? (iii) Explain why this curve is U shaped.arrow_forwardPlease see the attached two pictures, one for the graph, and the other for the questions.arrow_forward
- How do I determine variable cost? Only typed solutionarrow_forwardSee the cost information in the table below. The marginal cost of the 6th unit is Quantity produced/day Total Cost Variable Cost 0 $100 0 1 $150 $50 2 $175 $75 3 $225 $125 4 $300 $200 5 $400 $300 6 $550 $450 Question 18 options: a) $30 b) $150 c) $100 d) $50arrow_forwardWhich time period is the firm operating? Why?arrow_forward
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