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The market for qbits is initially competitive and the market demand is: P = 400 – 0.4QD . The combined marginal costs of the firms in the qbit industry are: MC = 50 + 0.6Q .
a. Calculate and show how much these firms will sell and what they will charge.
At Profit maximization in competitive market,
P= MC
=50+.6Q =400-.4Q
Q = 350/1 = 350 units
Price charge = 400-.4*350 =260
b) In case of monopoly, maximum profit occurs at MR = MC
In the above numerical, P = 400 – 0.4QD .
Total Revenue = P*Q
=(400-.4Q)*Q
=400Q-.4Q^2
MR = d®/d(Q) = 400-.8Q
So at Profit maximization,
MR = MC
400-.8Q = 50+.6Q
So, Q =250 units
P= 50+.6*250 =210
c) Is there any DWL associated with the cartel? If so, how much?
Yes there is DWL and it is given as DWL = (Change in quantity)* Change in price
=(350-250)*(260-210)
=100*50
=5000
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