i. If the monopolist can maintain the separation between the two markets, then the level of output that should be produced in each market at MR = MC, so:
MC = 5,
MR1 = TR'(Q1) = 55 - 2Q1,
55 - 2Q1 = 5,
Q1 = 25 units,
P1 = 55 - 25 = 30.
MR2 = TR'(Q2) = 35 - Q2,
35 - Q2 = 5,
Q2 = 30 units,
P2 = 35 - 0.5*30 = 20.
Total profits in this situation are:
TP = TR - TC = (30*25 + 20*30) - 5*(25 + 30) = 1075.
ii. If the monopolists follows the two-part tariffs pricing policy [T(q) = a + pq], then the maximum entry fee that must be charged is T = P1 = 30.
iii. The total profit the firm will make will be higher than in case of separation.
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