# Calculating optmal output and other related parameters

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Assume a monopolist with the following:

Qd =100-10p

TC = 1 + 2Q

Find the following:

a) Price at profit maximizing output

b) Profit maximizing output

c) Total Revenue at profit maximizing output

d) Total Cost at profit maximizing output

e)Profit

https://brainmass.com/economics/pricing-output-decisions/calculating-optmal-output-and-other-related-parameters-331750

#### Solution Preview

a)Price at profit maximizing output

Qd = 100 - 10p

P=(100-Qd)/10=10-0.1Qd

Total Revenue=P*Qd=(10-0.1Qd)*Qd=10Qd-0.1Qd^2

Marginal ...

#### Solution Summary

Solution calculates optimal output, price, total cost, total revenue and maximum profit.

$2.49