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Cost Minimization for Cobb-Douglas. Suppose the Acme Gumball Company has the production function of q=LK. Given that the MPL=K, MPK=L and MRT S=MPL/MPK.
Part a-b, we are analyzing the impact of output on input choices.
a. Suppose wage rate is w= $5 and rental rate is r= $5. What is the cost-minimizing combination of L and K to produce 100 gumballs? How much is the cost?
b. Given the same wage and rental rate as part a. What is the cost-minimizing combination of L and K to produce 200 gumballs? How much is the cost?
c. The production function for Acme Gumball Company exhibits _________ (increasing, constant, or decreasing) return to scale. The total cost increases _________ (faster than, slower, than, or at the same rate as) the output increases.
Calculate point price elasticities of demand for each customer product at activity levels identified in part A.
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We use percent-changes in the formula for estimating the price elasticity of demand coefficient in order to:
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