1. The nation of Ectenia has 20 competitive apple orchards, all of 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-L2 MPL = 100 - 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. (a) What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand?< (b) Ectenia has 200 workers who supply their labor inelastically. Solve for the wage W. How many workers does each orchard hire? How much profit does each orchard owner make?< (c) Calculate what happens to the income of workers and orchard owners if the world price doubles to $4 per apple.< (d) Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate how the hurricane affects the income of each worker and of each remaining orchard owner. What

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1. The nation of Ectenia has 20 competitive apple orchards, all of 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 - L2
MPL = 100 - 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.<
(a) What is each orchard's labor demand as a function of the daily wage W? What is the market's labor
demand?<
(b) Ectenia has 200 workers who supply their labor inelastically. Solve for the wage W. How many
workers does each orchard hire? How much profit does each orchard owner make?<
(c) Calculate what happens to the income of workers and orchard owners if the world price doubles to $4
per apple.<
(d) Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate
how the hurricane affects the income of each worker and of each remaining orchard owner. What
happens to the income of Ectenia as a whole?<
Transcribed Image Text:1. The nation of Ectenia has 20 competitive apple orchards, all of 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 - L2 MPL = 100 - 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.< (a) What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand?< (b) Ectenia has 200 workers who supply their labor inelastically. Solve for the wage W. How many workers does each orchard hire? How much profit does each orchard owner make?< (c) Calculate what happens to the income of workers and orchard owners if the world price doubles to $4 per apple.< (d) Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate how the hurricane affects the income of each worker and of each remaining orchard owner. What happens to the income of Ectenia as a whole?<
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1. The nation of Ectenia has 20 competitive apple orchards, all of 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-L2
MPL = 100 - 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.<
(a) Ectenia has 200 workers who supply their labor inelastically. Solve for the wage W. How many
workers does each orchard hire? How much profit does each orchard owner make?<
(b) Calculate what happens to the income of workers and orchard owners if the world price doubles to $4
per apple.<
(c) Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate
how the hurricane affects the income of each worker and of each remaining orchard owner. What
happens to the income of Ectenia as a whole?<
Transcribed Image Text:1. The nation of Ectenia has 20 competitive apple orchards, all of 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-L2 MPL = 100 - 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.< (a) Ectenia has 200 workers who supply their labor inelastically. Solve for the wage W. How many workers does each orchard hire? How much profit does each orchard owner make?< (b) Calculate what happens to the income of workers and orchard owners if the world price doubles to $4 per apple.< (c) Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate how the hurricane affects the income of each worker and of each remaining orchard owner. What happens to the income of Ectenia as a whole?<
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