LSC CUMBERLAND EC202 MICRO>PKG<
LSC CUMBERLAND EC202 MICRO>PKG<
21st Edition
ISBN: 9781260586992
Author: McConnell
Publisher: MCG
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Chapter 22, Problem 2P

Suppose chat both wheat and corn have an income elasticity of 0.1. LO20.1

a.    If the average income in the economy increases by 2 percent each year, by what percentage does the quantity demanded of wheat increase each year, holding all other factors constant? Holding all other factors constant, if 10 billion bushels are demanded this year, by how many bushels will the quantity demanded increase next year if incomes rise by 2 percent?

b.    Given that average personal income doubles in the United States about every 30 years, by about what percentage does the quantity demanded of corn increase every 30 years, holding all other factors constant?

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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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