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5 September, 04:36

The nation of Ectenia has 40 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 = 120L-L2, MPL = 120-2L where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor. What is each orchard's labor demand as a function of the daily wage W?

L=60-0.25W

L=2,400-10W

L=120-2W

L=60-0.5W

What is the market's labor demand?

L=2,400-10W

L=60-0.25W

L=2,400-0.25W

L=120-10W

Ectenia has 200 workers who supply their labor inelastically. The equilibrium wage is $__ per worker per day. Each orchard hires workers and makes a profit of $__ per day. (Note: Assume that wages are the firm's only costs.)

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  1. 5 September, 04:37
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    check the following calculations

    Explanation:

    The orchard's labor demand will be equal to the value of its marginal product. Therefore, w=VMP

    w=VMP = P*MPL = 2 (120-2L) = 240-4L

    From the above equation we have

    L = 60-0.25w

    From the above equation we have

    L = 60-0.25w

    Therefore, each orchard's labor demand as a function of w is:

    L = 60-0.25w

    Therefore, the correct option is a.

    The market demand curve for labor will be the horiontal summation of 40 orchard demand curves summed over L

    From the above equation we have

    L = 60-0.25w

    Therefore the market demand curve will be

    L = 40 (60-0.25w)

    L=2400-10w

    Therefore, the correct option is a.

    Ectenia has 200 workers who supply their labor inelastically. Then market equilibrium will be when

    200=2400-10w

    w=220

    The equilibrium wage is 220 per worker per day.

    Each orchard will have 200/40 = 5 workers and will produce

    Q = 120*5 - (5) 2 = 575 apples

    Total revenue of each orchard will be 575*2 = $1150

    If we assume that wages are the firm's only cost then total cost for each orchard will be 220*5=$1100.

    Therefore, Profit for each orchard will be $1150-$1100 = $50

    Therefore, each orchard hires and makes a profit of $50 per day.
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