Suppose the productivity of capital and labor are as shown in the accompanying table. the output of these resources sells in a purely competitive market for $1 per unit. Both capital and labor are hired under competitive conditions at $3 and $1, respectively.
units of cap MP of Cap Units of Labor MP of Labor
0 24 0 11
1 21 1 9
2 18 2 8
3 15 3 7
4 9 4 6
5 6 5 4
6 3 6 1
7 1 7 .5
1. What is the least-cost combination of labor and capital the firm should employ in producing 80 units of output? explain.
2. What is the profit-maximizing combination of labor and capital the firm should use? Explain.
3. What is the resulting level of output?
4. What is the economic profit?
5. Is this the least costly way of producing the profit-maximizing output?