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jacesmokesloud7254
30.07.2021 •
Mathematics
In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at the output level:
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Ответ:
hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question
≈ 95 units ( output level )
Step-by-step explanation:
Given data :
P = 2000 - Q/10
TC = 2Q^2 + 10Q + 200 ( assumed value )
The output level where a purely monopolistic market will maximize profit
at MR = MC
P = 2000 - Q/10 ( 1 )
PQ = 2000Q - Q^2 / 10 ( aka TR )
MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5
TC = 2Q^2 + 10Q + 200 ( 2 )
MC = d (TC) / dQ = 4Q + 10
equating MR = MC
2000 - Q/5 = 4Q + 10
2000 - 10 = 4Q + Q/5
1990 = 20Q + Q
∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )
Ответ: