EC 201 Lecture Notes - Lecture 9: Marginal Product, Marginal Cost
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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 |
|||
First scenario: output price is given | ||||||||
The table (below) gives the total output, per hour, for anywhere from 0 to 17 workers. | ||||||||
You need to determine how many workers should be hired at five different wage rates, ranging from $13/hour up to $25/hour. The wage rate includes all relevant benefits. To get to this answer you will need to calculate the marginal product of labor and the marginal revenue product of labor. You will be entering the values you obtain for the boldy outlined celles into the Moodle submission area. | ||||||||
Cost of the other (non-labor) inputs that go into a case (and would need to be increased if more labor was hired and output increased) = | $13.00 | |||||||
Price received per case = | $15.00 | |||||||
Marginal product of labor is the change in total product when labor is increased by one. | ||||||||
Marginal Revenue Product (net of the cost of the other required inputs), when the output price is fixed) equals marginal product times the ((fixed) output price -$13) | ||||||||
Please note: A few of the table values are filled in. Use these to determine if your approach to the problem is correct. | ||||||||
Number of workers | Total product | Marginal product of labor | Marginal Revenue Product (net of the cost of the other required inputs) | |||||
0 | 0 | |||||||
1 | 10 | 10 | ||||||
2 | 21 | 11 | $22.00 | |||||
3 | 33 | 12 | $24.00 | |||||
4 | 46 | 13 | $26.00 | |||||
5 | 60 | 14 | $27.00 | |||||
6 | 75 | 15 | $30.00 | |||||
7 | 91 | 16 | $32.00 | |||||
8 | 106 | 15 | $30.00 | |||||
9 | 120 | 14 | $28.00 | |||||
10 | 133 | 13 | $26.00 | |||||
11 | 145 | 12 | $24.00 | |||||
12 | 156 | 11 | $21.00 | |||||
13 | 165 | 9 | $18.00 | |||||
14 | 172 | 7 | $14.00 | |||||
15 | 177 | 5 | $10.00 | |||||
16 | 179 | 2 | $4.00 | |||||
17 | 179 | 0 | $0.00 | |||||
Using the information from above, fill in the following 'derived demand' schedule: | ||||||||
Hourly wage | Number of workers to maximize profits | |||||||
$13.00 | 15 | |||||||
$17.00 | 13 | |||||||
$21.00 | 12 | |||||||
$23.00 | 11 | |||||||
$25.00 | 10 | |||||||