Question

The following table shows the demand curve facing a monopolist who produces at a constant marginal cost of $8.00: Price QuantThe competitive quantity would beunits. (Enter your response rounded to two decimal places.) What would the social gain be if

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Answer #1

P |мс Q TR MR 18 0.. 0 16 16 8 128 8 16 224 12 14 8 12 24 288 8 8 32 320 10 4 8 8 40 320 0 6 48 288 -4 8 -8 56 224 8 -12 2 64

P1=18          Q1=0

P2=16           Q2=8

Equation of demand

P-P1=(P2-P1)/(Q2-1)(Q-Q1)

P-18=(16-18)/(8-0)(Q-0)

P=(-2/8)Q+18

P=18-0.25Q

TR=PQ

=(18-0.25Q)Q

=18Q-0.25Q2

dTR/dQ=18*1+0.5Q

MR=18-0.5Q

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