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The Metro Electric Company produces and distributes electricity to residential customers in New Brunswick.  The demand for...

  1. The Metro Electric Company produces and distributes electricity to residential customers in New Brunswick.  The demand for electricity is given by

P = 0.04 – 0.01Q

The resulting marginal revenue function is: MR = 0.04 – 0.02Q

Metro’s marginal cost function is: MC = 0.005 + 0.0075Q

where Q = millions of kilowatt hours and P = the dollars/kilowatt hour.

If the mayor of New Brunswick wants to maximize surplus what price per month should she mandate that Metro charge? How many kilowatt hours will be consumed?

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Answer #1

Surplus is maximized where firm is attained equilibrium.

Equilibrium condition: MR = MC

0.04 - 0.02Q = 0.005 + 0.0075Q

0.04 - 0.005 = 0.0075Q + 0.02Q

0.035 = 0.0275Q

Q = 0.035/0.0275

Q = 1.27 millions of kilowatt hours

P = 0.04 - 0.01(1.27)

P = 0.04 - 0.0127

P = 0.0273 kilowatt hours

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