157k views
3 votes
Suppose the short-run production function is q=7L⁰.⁵. If the marginal cost of producing the 15 th unit is $10, what is the wage per unit of labor?

User Tom Faust
by
8.5k points

1 Answer

5 votes

Final answer:

The wage per unit of labor is $2.93.

Step-by-step explanation:

The short-run production function can be expressed as q = 7L0.5, where q represents output and L represents labor. The marginal cost of producing the 15th unit is given as $10.

To determine the wage per unit of labor, we need to find the value of labor that corresponds to the 15th unit of output. We can do this by rearranging the production function equation as L = (q/7)2 and substituting q = 15.

Therefore, the wage per unit of labor is $10 / ((15/7)2) = $2.93 (rounded to two decimal places).

User Marged
by
7.7k points