A firm uses two variable inputs, labor (L) and raw materials (M), in producing its output. At its current level of output:
CL = $10/unit MPL = 25
CM = $2/unit MPL = 4
a) determine whether the firm is operating efficiently, given that its objective is to minimize the cost of producing the given level of output.
b) determine what changes (if any) in the relative proportions of labor and raw materials need to be made to operate efficiently.
Cost of labor is $10/unit and that of raw materials is $2/unit. Marginal product of labor is 25, and that of raw materials is 4.
a. The optimum bundle is obtained when the marginal cost of the last unit produced by either inputs is the same. In this ...
Marginal Product of Labor is clarified in this solution.
Labor, capital, & inputs & outputs
This is a 4 part question:
A manufacturer is hiring 20 units of labor and 6 units of capital (bundleA). The price of labor is $10 and the price of capital is $2 and at A the marginal products of labor and capital are both equal to 20.
1.Beginning at A if the manufacturer increases labor by 1 unit and decreases capital by 1 unit, what will happen to cost and output?
Cost remain constant & output rises by 20 units
Cost remain constant & output lowers by 20 units
Output remains constant & cost increase by $8
Output remains constant & cost lowers by $8
Both cost and output remain constant
2.Beginning at A, if the manufacturer raises expenses on labor by $1 and lowers expenses on capital by $1, which is True?
Output per $ spent will rise
Output per $ spent will lower
MP of labor will eventually rise and MP of capital will eventually fall
MP of labor will eventually rise and MP of capital will remain constant
Or none of these
is using optimal combination of capital and labor
should use more labor and less capital
should use more capital and less labor
need more information to determine
MPL will be less than 20
MPK will be more than 20
MPL will be 5 times MPK
Or the first 2 listed above