Assume that the cost data in the following table are for a purely competitive producer: Total Product Average Fixed Cost Average Variable Cost Average Total Cost Marginal Cost 0         1 $ 60.00 $ 45.00 $ 105.00 $ 45.00 2 30.00 42.50 72.50 40.00 3 20.00 40.00 60.00 35.00 4 15.00 37.50 52.50 30.00 5 12.00 37.00 49.00 35.00 6 10.00 37.50 47.50 40.00 7 8.57 38.57 47.14 45.00 8 7.50 40.63 48.13 55.00 9 6.67 43.33 50.00 65.00 10 6.00 46.50 52.50 75.00 a. At a product price of $56.00      (i) Will this firm produce in the short run?  yes               (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? profit- maximizing  output =  9 units per firm  (iii) What economic profit or loss will the firm realize per unit of output?  Profit             per unit = $ 16 b. At a product price of $41.00 (i) Will this firm produce in the short run? Yes           (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output?  Loss-minimzing output = 6 units per firm  (iii) What economic profit or loss will the firm realize per unit of output?    Loss  per unit = $ 39 c. At a product price of $32.00 (i) Will this firm produce in the short run?   No    (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? Not applicable  output =  0 units per firm (iii) What economic profit or loss will the firm realize per unit of output?  Total loss   per unit = $ 0 d. In the table below, complete the short-run supply schedule for the firm (columns 1 and 2) and indicate the profit or loss incurred at each output (column 3).     (1) Price (2) Quantity Supplied, Single Firm (3) Profit (+) or Loss (−) (4) Quantity Supplied, 1,500 Firms $26.00 0.00 -60.00 0.00 32.00 0.00 -60.00 0.00 38.00 0.00 -60.00 0.00 41.00 5.00 -55.00 75,000.00 46.00 6.00   9,000.00 56.00 7.00   10,500.00 66.00 8.00   12,000.00 e. Now assume that there are 1,500 identical firms in this competitive industry. That is, there are 1,500 firms, each of which has the cost data shown in the table. Complete the industry supply schedule (column 4 in the table above). f. Suppose the market demand data for the product are as follows: Price Total Quality Demanded $ 26.00 17,000 32.00 15,000 38.00 13,500 41.00 12,000 46.00 10,500 56.00 9,500 66.00 8,000 What is the equilibrium price?  $______ What is the equilibrium output for the industry? ______units For each firm? ______units         Instructions: Enter your answers rounded to two decimal places. Enter positive values for profit or loss.  What will profit or loss be per unit? _______    per unit = $______  Per firm?  $______ Will this industry expand or contract in the long run?   ________                                                            Prev Question 9 of 16 Total9 of 16 Visit question mapNext

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter3: Benefits, Costs, And Decisions
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Assume that the cost data in the following table are for a purely competitive producer:

Total
Product
Average
Fixed Cost
Average
Variable Cost
Average
Total Cost
Marginal Cost
0        
1 $ 60.00 $ 45.00 $ 105.00 $ 45.00
2 30.00 42.50 72.50 40.00
3 20.00 40.00 60.00 35.00
4 15.00 37.50 52.50 30.00
5 12.00 37.00 49.00 35.00
6 10.00 37.50 47.50 40.00
7 8.57 38.57 47.14 45.00
8 7.50 40.63 48.13 55.00
9 6.67 43.33 50.00 65.00
10 6.00 46.50 52.50 75.00

a. At a product price of $56.00

     (i) Will this firm produce in the short run?  yes         

     (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output?

profit- maximizing 

output =  9 units per firm

 (iii) What economic profit or loss will the firm realize per unit of output?  Profit             per unit = $ 16

b. At a product price of $41.00

(i) Will this firm produce in the short run? Yes          

(ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? 

Loss-minimzing

output = 6 units per firm 

(iii) What economic profit or loss will the firm realize per unit of output?   

Loss  per unit = $ 39

c. At a product price of $32.00

(i) Will this firm produce in the short run?   No   

(ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? Not applicable 

output =  0 units per firm

(iii) What economic profit or loss will the firm realize per unit of output?  Total loss   per unit = $ 0

d. In the table below, complete the short-run supply schedule for the firm (columns 1 and 2) and indicate the profit or loss incurred at each output (column 3).

 
 
(1) Price (2) Quantity Supplied, Single Firm (3) Profit (+) or Loss (−) (4) Quantity Supplied, 1,500 Firms
$26.00 0.00 -60.00 0.00
32.00 0.00 -60.00 0.00
38.00 0.00 -60.00 0.00
41.00 5.00 -55.00 75,000.00
46.00 6.00   9,000.00
56.00 7.00   10,500.00
66.00 8.00   12,000.00

e. Now assume that there are 1,500 identical firms in this competitive industry. That is, there are 1,500 firms, each of which has the cost data shown in the table. Complete the industry supply schedule (column 4 in the table above).

f. Suppose the market demand data for the product are as follows:

Price Total Quality Demanded
$ 26.00 17,000
32.00 15,000
38.00 13,500
41.00 12,000
46.00 10,500
56.00 9,500
66.00 8,000

What is the equilibrium price?  $______

What is the equilibrium output for the industry? ______units

For each firm? ______units        

Instructions: Enter your answers rounded to two decimal places. Enter positive values for profit or loss.

 What will profit or loss be per unit? _______    per unit = $______ 

Per firm?  $______

Will this industry expand or contract in the long run?   ________        
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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