worker
TP
TRP ($)
MRP
1
8
24
24
2
14
42
18
3
18
54
14
4
20
60
6
5
20
60
0
a. Assume a market wage rate of $12, how many workers will this firm hire?
b. If the government imposes a minimum wage of $18, how many workers will be hired now?
worker | TP | TRP ($) | MRP |
1 | 8 | 24 | 24 |
2 | 14 | 42 | 18 |
3 | 18 | 54 | 14 |
4 | 20 | 60 | 6 |
5 | 20 | 60 | 0 |
a. Assume a market wage rate of $12, how many workers will this firm hire?
b. If the government imposes a minimum wage of $18, how many workers will be hired now?
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The Zippy Paper Company has no control over either the price of paper or the wage it pays its workers. The following table shows the relationship between the number of workers Zippy hires and total output:
Assuming the selling price is $10 per box, answer the following questions:
a. What is the marginal revenue product (MRP) of each worker?
b. How many workers will Zippy hire if the wage rate is $100 per day?
c. How many workers will Zippy hire if the wage rate is $75 per day?
d. Assume the wage rate is $75 per day and the price of a box of paper is $20. How many workers will Zippy hire?
You should start by duplicating the chart on your sheet. You will then need to find the marginal product. Multiplying the marginal product by the price will give you the marginal revenue product.
Labor Input (workers per day) |
Total Output (boxes of paper per day) |
Marginal Product |
Price |
MP x P = MRP Marginal Revenue Product |
0 |
0 |
|||
1 |
15 |
|||
2 |
27 |
|||
3 |
36 |
|||
4 |
43 |
|||
5 |
48 |
|||
Assume that the firm only uses labor as a resource in production and is hiring workers in a purely competitive labor market. In other words, the firm can hire as many workers as it wishes without affecting the equilibrium wage rate.
Units of Labor (L) |
Total Product (Q) |
Product Price (P) |
Total Revenue (TR) |
Marginal Revenue Product (MRP) |
0 |
0 |
$2.20 |
$0 |
--- |
1 |
15 |
$2.00 |
$30 |
$30 |
2 |
28 |
$1.80 |
||
3 |
39 |
$1.60 |
||
4 |
48 |
$1.40 |
||
5 |
55 |
$1.20 |
||
6 |
60 |
$1.10 |
a. Is the firm selling its product in a purely competitive market or an imperfectly competitive market?
b. Fill out both the TR and MRP columns with the correct values.
c. Suppose the wage rate is $11.00 per worker. How many workers should be employed, in order to maximize profits?
d. If the firm hires the optimum number of workers, what is its total profit?
Suppose that a monopoly firm finds that its MR is $72 for the first unit sold each day, $71 for the second unit sold each day, $70 for the third unit sold each day, and so on. Further suppose that the first worker hired produces 5 units per day, the second 4 units per day, the third 3 units per day, and so on.
Instructions: Enter your answers as whole numbers.
a. What is the firm's MRP for each of the first five workers?
Worker | MRP, unregulated |
1 | |
2 | |
3 | |
4 | |
5 |
b. Suppose that the monopolist is subjected to rate regulation and the regulator stipulates that it must charge exactly $62 per unit for all units sold. At that price, what is the firm's MRP for each of the first five workers?
Worker | MRP, regulated |
1 | |
2 | |
3 | |
4 | |
5 |
c. If the daily wage paid to workers is $258 per day, how many workers will the unregulated monopoly demand? Worker(s).
If the daily wage paid to workers is $258 per day, how many workers will the regulated monopoly demand? Worker(s).
Looking at those figures, will the regulated or the unregulated monopoly demand more workers at that wage? Unregulated/Regulated.
d. If the daily wage paid to workers falls to $121 per day, how many workers will the unregulated monopoly demand? Worker(s).
If the daily wage paid to workers falls to $121 per day, how many workers will the regulated monopoly demand? Worker(s).
Looking at those figures, will the regulated or the unregulated monopoly demand more workers at that wage? Unregulated/Regulated.
e. Comparing your answers to parts c and d, does regulating a monopoly's output price always increase its demand for resources? Yes/No.