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 Suppose there is only one supplier in the market of product X

Economics Dec 03, 2020

 Suppose there is only one supplier in the market of product X. The following table shows partial information of product X and the supplier's cost. Price Quantity Marginal Cost Demanded $1,600 1 550 1.300 600 1,200 1,100 1,000 0 1,500 1,400 500 2 3 4 5 6 7 8 9 10 650 700 750 800 850 900 900 800 700 600 950 A. Determine the supplier's profit-maximizing output quantity. Explain your answer. (30 marks) B. At what price should the supplier charge to maximize its profit? Explain your answer. (10 marks) C. Suppose at the profit-maximizing output quantity you have determined in part A, the average variable cost is $600 and the average total cost is $800. Calculate the total profit at the profit- maximizing output quantity. 

Expert Solution

Quantity: 5 units

Explanation:

P Q MC TR MR
1600 0   0  
1500 1 500 1500 1500
1400 2 550 2800 1300
1300 3 600 3900 1100
1200 4 650 4800 900
1100 5 700 5500 700
1000 6 750 6000 500
900 7 800 6300 300
800 8 850 6400 100
700 9 900 6300 -100
600 10 950 6000 -300

TR=P*Q

MR=change in TR/change in Q

firm maximizes its profit where MR=MC. here at quantity 5, MR=MC.

B.

$1100

Explanation:

firm maximizes its profit where MR=MC. at quantity , price is 1100.

c.

Profit=(price-ATC)*quantity

=(1100-800)*5

=1500

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