A competitive firm's production function is given by y = f(x₁, x₂) = 4x1¹/²+10x¹/2 a) The price of factor 1 is 1, the price of factor 2 is 1, and the price of output is 2. Find the profit-maximizing quantities of x₁ and x2? What is the profit-maximizing quantity of output? b) Redo part (a), this time by first deriving the firm's factor demand functions and the supply function, and then substituting the prices in these functions.
A competitive firm's production function is given by y = f(x₁, x₂) = 4x1¹/²+10x¹/2 a) The price of factor 1 is 1, the price of factor 2 is 1, and the price of output is 2. Find the profit-maximizing quantities of x₁ and x2? What is the profit-maximizing quantity of output? b) Redo part (a), this time by first deriving the firm's factor demand functions and the supply function, and then substituting the prices in these functions.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Please answer the followin questions in picture.

Transcribed Image Text:A competitive firm's production function is given by
1/2
1/2
y = f(x1, x2) = 4x,2+ 10x,2
a) The price of factor 1 is 1, the price of factor 2 is 1, and the price of output is 2. Find
the profit-maximizing quantities of x1 and x2? What is the profit-maximizing quantity
of output?
b) Redo part (a), this time by first deriving the firm's factor demand functions and the
supply function, and then substituting the prices in these functions.
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