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Exercises · Q8
Q.

A monopoly firm faces the following demand schedule for its product. Complete the TR, AR and MR columns, and compare the AR-MR relationship here with that of the perfectly competitive firm in Exercise 2.

QPrice (P)TRARMR
120
218
316
414
512
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TR=P×QTR=P\times Q at each output:

TR1=20(1)=20, TR2=18(2)=36, TR3=16(3)=48, TR4=14(4)=56, TR5=12(5)=60TR_1=20(1)=20,\ TR_2=18(2)=36,\ TR_3=16(3)=48,\ TR_4=14(4)=56,\ TR_5=12(5)=60

AR=TR/QAR=TR/Q, which will always simply equal the given price:

AR1=20, AR2=18, AR3=16, AR4=14, AR5=12AR_1=20,\ AR_2=18,\ AR_3=16,\ AR_4=14,\ AR_5=12

MR=ΔTR/ΔQMR=\Delta TR/\Delta Q (successive TR differences, with TR0=0TR_0=0):

MR1=20−0=20, MR2=36−20=16, MR3=48−36=12, MR4=56−48=8, MR5=60−56=4MR_1=20-0=20,\ MR_2=36-20=16,\ MR_3=48-36=12,\ MR_4=56-48=8,\ MR_5=60-56=4

Completed schedule:

QPrice (P)TRARMR
120202020
218361816
316481612
41456148
51260124

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