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Suppose that you have estimated the following output function where L is labor and K is...

Suppose that you have estimated the following output function where L is labor and K is capital: Y = K1/4 L1/2.

-You know that the current price of labor is $10 and capital cost is $150 per machine (capital). You currently use 81 units of capital. For #1a, the output (Y) is 100.

1a: How many employees (L) do you need to hire to achieve your output goal?

b. Given a fixed level of capital (K=81) and a price of $100 per unit of output, what is the optimal number of employees?

c. Calculate the profit given the optimal number of employee given the answer in #1b.

d. At what number of employees would you maximize output but not lose money?

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