Let the production function of a firm is given as q=(x0.5 +y0.5)2 Where x and y are inputs and wx is the price of input x and wy is the price of input y. a) Assume the firm has a limited budget to spend on buying input. Find the cost-conditional input demand function for each input. b) Now, assume the firm has no budget restriction but it has a production quota. Find the output-conditional input demand function for each input. c) Find the cost function of the firm. d) Assume the firm has no budgetary or production restrictions and set up the profit maximization problem. e) Write the conditions that need to be met to find a non-zero output that maximizes profits.

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Chapter1: Making Economics Decisions
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Let the production function of a firm is given as q=(x0.5 +y0.5)2 Where x and y are inputs and wx is the price of input x and wy is the price of input y. a) Assume the firm has a limited budget to spend on buying input. Find the cost-conditional input demand function for each input. b) Now, assume the firm has no budget restriction but it has a production quota. Find the output-conditional input demand function for each input. c) Find the cost function of the firm. d) Assume the firm has no budgetary or production restrictions and set up the profit maximization problem. e) Write the conditions that need to be met to find a non-zero output that maximizes profits.
Economics
Let the production function of a firm is given as
q=(x0.5 +y0.5)2
Where x and y are inputs and wx is the price of
inputx and wy is the price
of input y.
a) Assume the firm has a limited budget to
spend on buying input. Find
the cost-conditional input demand function for
each input.
b) Now, assume the firm has no budget
restriction but it has a
production quota. Find the output-conditional
input demand
function for each input.
c) Find the cost function of the firm.
d) Assume the firm has no budgetary or
production restrictions and set
up the profit maximization problem.
e) Write the conditions that need to be met to
find a non-zero output
that maximizes profits.
Transcribed Image Text:Economics Let the production function of a firm is given as q=(x0.5 +y0.5)2 Where x and y are inputs and wx is the price of inputx and wy is the price of input y. a) Assume the firm has a limited budget to spend on buying input. Find the cost-conditional input demand function for each input. b) Now, assume the firm has no budget restriction but it has a production quota. Find the output-conditional input demand function for each input. c) Find the cost function of the firm. d) Assume the firm has no budgetary or production restrictions and set up the profit maximization problem. e) Write the conditions that need to be met to find a non-zero output that maximizes profits.
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