A price-taking firm has a production function given by y = 3(x3)¹/3 (max{x₁,8x2})¹/3 where 1, 2 and 3 are inputs and y is output. Let w₁, w2 and w3 denote input prices, and let P denote the output price. Solve the profit maximization problem and the corresponding cost minimization problem.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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A price-taking firm has a production
function given by
y = 3(x3)"/3 (max{x1,8r2})'/3
where x1, x2 and x3 are inputs and y is output. Let w1, w2 and wz denote input prices, and let
p denote
the output price. Solve the profit maximization problem and the corresponding cost minimization problem.
Transcribed Image Text:A price-taking firm has a production function given by y = 3(x3)"/3 (max{x1,8r2})'/3 where x1, x2 and x3 are inputs and y is output. Let w1, w2 and wz denote input prices, and let p denote the output price. Solve the profit maximization problem and the corresponding cost minimization problem.
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