Question #255756

Maryam Inc. produces leather bound books. The market is highly competitive, with books currently selling for R600. Maryam’s total and marginal cost curves are: TC = 3 000 + 100Q2 MC = 200Q Calculate Maryam Inc.’s profit maximising quantity. Is the firm earning a profit? / Mary


1
Expert's answer
2021-10-24T18:15:45-0400

TR=600QTR=600Q

MR=600MR=600

MC=200QMC=200Q

To find profit maximizing quantity:

MR=MCMR=MC

600=200Q600=200Q

Q=3Q=3

Profit maximizing quantity=3.


TC=3000+100Q2TC=3000+100Q^2

TC=3000+100(32)=3900TC=3000+100(3^2)=3900

TR=600Q=600×3=1800TR=600Q=600\times3=1800

Profit/loss=TRTCProfit/loss=TR-TC

=18003900=2100=1800-3900=-2100

Thus, the firm is making a loss.


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