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The production function is f(x1; x2) = x1^1/2x2^1/2. The price of factor 1 is 16, the price of factor 2 is 32, and the price

The production function is f(x1; x2) = x1^1/2x2^1/2. The price of factor 1 is 16, the price of factor 2 is 32, and the price of output is 64.

(a) Write down the profit function as a function of both the inputs.

(b) Write down the long run profit maximization conditions.

(c) In what proportions should the firm use factors 1 and 2 if it wants to maximizeprofits?

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