Bundle: Principles of Macroeconomics, Loose-Leaf Version, 7th + Aplia, 1 term Printed Access Card
Bundle: Principles of Macroeconomics, Loose-Leaf Version, 7th + Aplia, 1 term Printed Access Card
7th Edition
ISBN: 9781305134935
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 10.2, Problem 2QQ
To determine

The contribution to GDP.

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Exercise 6 Imagine that you head production of a multinational food processing company. The ongoing uncer- tainty about costs means that you are unsure of the future cost of one of your inputs, x2. Your firm's production function is y = f(x1, x2) = x²x²² The output price p is 1000, x1 = 27, and wx₁ = 60. 1. Suppose the current input price is Wx2 = 50. Solve for the optimal choice of x2. 2. Now suppose that the probability the input price remains 50 is 0.65 and the probability that Wx2 60 is 0.35. Solve for the optimal choice of x2. Round down to the nearest integer. = 3. Finally, suppose the costs do actually rise, i.e., Wx2 = 60. Calculate the difference in profit from the uncertainty in (2) vs. the certainty in (1).
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