Question

The nation of Ectenia has 20 competitive apple orchards, which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard:
Q= 100L -L^2
MPL 100-2L

where Q s the number of apples produced in a day, L s the number of workers, and MPL is the marginal product of labor. Now, suppose the price of apples is back at $2 per apple, but a hurricane destroys half the orchards so only 10 orchards remain. Recall that each orchard's labor demand as a function of the daily wage is L 50-0.25W.

Required:
What is the market's labor demand?

Answer 1

The  market's labor demand is L=500−2.5W

Since labor demand as a function of the daily wage is L 50-0.25W.

Hence,

The individual labor demand curve is: L=50−0.25W

Now let determine The market labor demand curve

The market's labor demand is :

L=10(50−0.25W)

L=500−2.5W

Inconclusion The market's labor demand is L=500−2.5W

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