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The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production...

Question:

The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production function describe
The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production function describes how these inputs are combined to produce bushels of oranges. f(L,K) = 5(1/2 + 3K1/2 1) Determine what kind of returns to scale this production function exhibits (HINT: labor is the "x" variable - the one that goes on the horizontal axis). 2) What is the formula for that kind of returns to scale? (HINT: use f(L,K)) 3) What is the general formula for the technical rate of substitution? 4) What is the general formula for profit? 5) Suppose the price of a bushel of strawberries is $14, the wage is $7, and the rental rate is $3. In the short-run, capital is fixed at 16 units. Find the short-run profit-maximizing input, output, and the associated profit. 6) In the long-run, price, wage, and rental rate are the same as in the short-run. Find the long-run profit-maximizing inputs, output, and the associated profit. HTML Editora BIVA. AIX E 31 1 x

Answers

As per the HOMEWORKLIB POLICY, answering the first four parts

) f(2,6)= 52 + 3k2 Augment production function by factor a. fal, ak)= 5(24)n + 3(ka) = 5212442 + 392K> = 212 [522 + 3 k

.

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