A company produces one product from two inputs (forexample, capital and labor). Its

Chapter 15, Problem 43

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A company produces one product from two inputs (forexample, capital and labor). Its production functiong(x, y) gives the quantity of the product that can be producedwith x units of the first input and y units of thesecond. The cost function (or expenditure function) is thethree-variable function C(p, q, u) where p and q are theunit prices of the two inputs. For fixed p, q, and u, thevalue C(p, q, u) is the minimum of f(x, y) = px + qysubject to the constraint g(x, y) = u.(a) What is the practical meaning of C(p, q, u)?(b) Find a formula for C(p, q, u) if g(x, y) = xy.

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