A firm wishes to produce to Qunits of output using two inputs - ₁ and x2. The prices of the inputs are w₁ and w₂ respectively. Assuming the firm wants to keep its current production target, show the effect on the firm's optimal input choice in a diagram if the price of factor x₁ increases. In a separate diagram, derive the conditional factor demand for input x₁, i.e., the relationship between price of x₁ and quantity demanded for £₁.
A firm wishes to produce to Qunits of output using two inputs - ₁ and x2. The prices of the inputs are w₁ and w₂ respectively. Assuming the firm wants to keep its current production target, show the effect on the firm's optimal input choice in a diagram if the price of factor x₁ increases. In a separate diagram, derive the conditional factor demand for input x₁, i.e., the relationship between price of x₁ and quantity demanded for £₁.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Question 1
A firm wishes to produce to Q units of output using two inputs - ₁ and ₂. The prices of the
inputs are w₁ and w₂ respectively. Assuming the firm wants to keep its current production
target, show the effect on the firm's optimal input choice in a diagram if the price of factor
x₁ increases. In a separate diagram, derive the conditional factor demand for input x₁, i.e.,
the relationship between price of x₁ and quantity demanded for ₁.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe672c1a-70f8-4328-a697-78feba54c807%2F0a237171-a3ad-44ce-abad-538fb72dd5b6%2Fucn83td_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
A firm wishes to produce to Q units of output using two inputs - ₁ and ₂. The prices of the
inputs are w₁ and w₂ respectively. Assuming the firm wants to keep its current production
target, show the effect on the firm's optimal input choice in a diagram if the price of factor
x₁ increases. In a separate diagram, derive the conditional factor demand for input x₁, i.e.,
the relationship between price of x₁ and quantity demanded for ₁.
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