In: Economics
1. The Bungalow Bill Accounting Service, LLC uses computer technology and data-entry operators to provide accounting services in a competitive market. The price for each statement is $200. Total fixed costs are $1500/week.
Data Entry Operators |
# of Statements per week |
Marginal Product |
Total Revenue |
||||
0 |
0.0 |
||||||
1 |
5.0 |
||||||
2 |
9.0 |
||||||
3 |
12.0 |
||||||
4 |
14.0 |
||||||
5 |
15.5 |
||||||
6 |
16.5 |
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7 |
17.0 |
Units of Labor Marginal Revenue Product
0
1. $30
2. $24
3. $18
4. $15
5. $12
6. $10
3. The following table shows the hourly output per worker in two industries in the United States and Canada.
Pretzels Beer
United States 8 6
Canada 1 2
Q1) The price for each statement = 200, Total fixed costs = 1500
Data entry operators | Number of statement | Total Revenue | Marginal total revenue |
0 | 0 | 0 | - |
1 | 5 | 5 * 200 = 1000 | 1000/1 = 1000 |
2 | 9 | 1800 | 1800-1000/2-1 = 800 |
3 | 12 | 2400 | 600 |
4 | 14 | 2800 | 400 |
5 | 15.5 | 3100 | 300 |
6 | 16.5 | 3300 | 200 |
7 | 17 | 3400 | 100 |
a) Profit maximizing condition is MR = MC, marginal cost = weekly wage paid for each data entry operator = 250,
So, when MR = 250, that is the profit-maximizing condition,
so, 250 lies in between 300 and 200, so will lie between number of statments 15.5 and 16.5, so, the profit maximizng output = 16. So, the profit maximizing number of data operators = 5.
b) The firms profit = Total Revenue - Total Cost,
Total cost = 2750, Fixed cost = 1500, Variable cost = 250 * 5 = 1250
Maximum profit = 3100 - 2750 = 350
c) Now, when price of statement reduces to 150,
Data entry operators | Number of statement | Total Revenue | Marginal total revenue |
0 | 0 | 0 | - |
1 | 5 | 5 * 150 = 750 | 750/1 = 750 |
2 | 9 | 1350 | 1350-750/2-1 = 600 |
3 | 12 | 1800 | 450 |
4 | 14 | 2100 | 300 |
5 | 15.5 | 2325 | 225 |
6 | 16.5 | 2475 | 150 |
7 | 17 | 2550 | 75 |
So, MR = MC, MC = 250, MR = 250 for maximum profit, between 300 and 225, so, profit maximizing number of entry operators = 4.
Total revenue = 2100,
Total Cost = 1500 + 250 * 4 = 2500,
Profit = 2100 - 2500 = -400,
i) So, there is a loss of -400.
ii) Bill should stay open in the short run, only if price is greater than the average variable cost,
So, average variable cost = variable cost/output, = 250 * 4/14 = 1000/14 = 71.42
So, as price = 150, is greater than 71.42, Bill should stay open in the short run.
iii) A firm's shutdown point is the minimum point of the average total cost curve, and if price is less than the average total cost curve, the firm needs to shut down. As in the long run, all costs are variable costs, there are no fixed costs.
So, total costs = 1500 + 1000 = 2500, average total cost = 2500/14 = 178.57 ,
So, as the price = 150, is lesser than 178.57, Bill needs to be shut down in the long run.
As per rules, have answered the first four sub parts of the first question. Thank you.