Destiny cable has market power in the cable television market in particular locality.  The demand curve for Destiny’s output is Qd = 10 - 0.4P P = 23 - 2.5Q Destiny's marginal revenue function is MR(Q) = 25 – 5Q.  Destiny's marginal cost curve is MC(Q) = 0.53 + 0.026Q.    a) Determine Destiny's profit maximizing price. b) Calculate Destiny's elasticity of demand at this price. Is demand for cable TV elastic, inelastic or unit elastic? c) Given the computed elasticity of demand, if Destiny wants to maximize profit, should it increase, decrease, or leave unchanged its current price? Why?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
Problem 3E
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Destiny cable has market power in the cable television market in particular locality. 

The demand curve for Destiny’s output is

Qd = 10 - 0.4P

P = 23 - 2.5Q

Destiny's marginal revenue function is MR(Q) = 25 – 5Q.  Destiny's marginal cost curve is MC(Q) = 0.53 + 0.026Q.   

a) Determine Destiny's profit maximizing price.

b) Calculate Destiny's elasticity of demand at this price. Is demand for cable TV elastic, inelastic or unit elastic?

c) Given the computed elasticity of demand, if Destiny wants to maximize profit, should it increase, decrease, or leave unchanged its current price? Why?

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