Question
Suppose that labor is the only input used by a perfectly competitive firm. The firm's production function is as follows: Complete the third column of
Suppose that labor is the only input used by a perfectly competitive firm. The firm's production function is as follows:
Complete the third column of the following table by calculating the marginal product for each additional worker.
Days of Labor | Units of Output | Marginal Product of Labor | Value of the Marginal Product of Labor |
---|---|---|---|
(Dollars) | |||
0 | 0 | ||
1 | 7 | ||
2 | 13 | ||
3 | 18 | ||
4 | 22 | ||
5 | 25 | ||
6 | 27 | ||
7 | 28 | ||
Each unit of output sells for $10. Complete the fourth column of the preceding table by calculating the value of the marginal product of each worker.
Complete the following demand schedule by indicating the maximum wage the firm would be willing to pay for each quantity of labor.
Wage | Quantity of Labor Demanded |
---|---|
(Dollars per day of labor) | (Days of labor) |
7 | |
6 | |
5 | |
4 | |
3 | |
2 | |
1 |
Use the blue points (circle symbol) to graph the firm's labor-demand curve, given the demand schedule you just derived.
Note: Remember to plot each point between the two integers. For example, when the number of days increases from 0 to 1, the value of the marginal product of for the first day of labor should be plotted with a horizontal coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect the points.
Labor Demand0123456780706050403020100WAGE (Dollars)QUANTITY OF LABOR (Days)
If the price of output falls from $10 to $8 per unit, the labor-demand curve .
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