The production function of a company is q = 2 KO.5 L 0.5. %3D a) Assuming that capital is equal to 100 units, obtain the short-run production function of the firm and plot it. b) Obtain the marginal and average productivity of labour and graph both. c) Find the amount of work that the company must hire to obtain the output levels q0 = 25, q1 %3D
The production function of a company is q = 2 KO.5 L 0.5. %3D a) Assuming that capital is equal to 100 units, obtain the short-run production function of the firm and plot it. b) Obtain the marginal and average productivity of labour and graph both. c) Find the amount of work that the company must hire to obtain the output levels q0 = 25, q1 %3D
Chapter1: Making Economics Decisions
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![The production function of a company is q = 2
KO.5 L 0.5 .
a) Assuming that capital is equal to 100 units,
obtain the short-run production function of the
firm and plot it. b) Obtain the marginal and
average productivity of labour and graph both.
c) Find the amount of work that the company
must hire to obtain the output levels q0 = 25, q1
= 100 and q2 = 175. d) Assuming that the price
of capital is r = 1 € and the wage is w = 4 €, find
the short-run total cost function of the firm. e)
Calculate the average total cost, average
variable cost and marginal cost functions of the
company. Find the level of production that
minimizes the average total cost. Graph and
indicate the relationship between average and
marginal costs, as well as the relationship
between marginal costs and marginal
productivity of the firm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccbb07df-3ad4-4195-9f7b-3931440f48e9%2Fc8219ab0-c3d4-46d4-af71-5ff39384a1a2%2F6m6481x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The production function of a company is q = 2
KO.5 L 0.5 .
a) Assuming that capital is equal to 100 units,
obtain the short-run production function of the
firm and plot it. b) Obtain the marginal and
average productivity of labour and graph both.
c) Find the amount of work that the company
must hire to obtain the output levels q0 = 25, q1
= 100 and q2 = 175. d) Assuming that the price
of capital is r = 1 € and the wage is w = 4 €, find
the short-run total cost function of the firm. e)
Calculate the average total cost, average
variable cost and marginal cost functions of the
company. Find the level of production that
minimizes the average total cost. Graph and
indicate the relationship between average and
marginal costs, as well as the relationship
between marginal costs and marginal
productivity of the firm.
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