Suppose that a price-searcher monopolist had a total cost function given by: tc= 10 + q +0.1q2. the demand for the price searcher's product is given by: qd= 50-10p. calculate the monopolist's producer surplus. (do not include a dollar sign in your response. round to the nearest two decimals.)
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Ответ:
The monopolist's producer surplus is $20.
Explanation:
TC = 10 + Q + 0.1Q^2
MC = 1 + 0.2Q
Q = 50 - 10P
10P = 50 - Q
P = 5 - 0.1Q
TR = PQ
= 5Q - 0.1Q^2
MR = 5 - 0.2Q
for:
MR = MC
5 - 0.2Q = 1 + 0.2Q
4 = 0.4Q
Q = 10
P = 5 - 0.1(10) = 4
at Q = 10,
MC = 1 + 0.2*10
= 3
P.S = (4 - 3)*10 + 1/2*10*(3 - 1)
= 10 + 10
= $20
Therefore, The monopolist's producer surplus is $20.
Ответ: