Use the Örst-order condition to calculate the price P that maximizes revenue R(P) = QD(P)P:

economics

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Please hand in your solutions in our class on Wednesday January 29. 


1. Suppose demand is given by QD(P) = 100 5P. 


(a) Calculate Q0 D(P). 


(b) Calculate the price elasticity of demand "D(P). 


(c) Use the Örst-order condition to calculate the price P that maximizes revenue R(P) = QD(P)P: 


(d) Use the second-order condition to verify that the solution in (c) is a local maximum. 


(e) Plug in the value P that you calculated in (c) in the elasticity expression that you calculated in (b), and verify that "D(P ) =

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