function be given by p = 100 – 0.0002q which generates a marginal revenue function of MR = 100 – 0.0004q Let Total Cost be given by TC = 100 + 28q – 0.005q² + 0.0000011q³ Which has marginal cost of MC = 28 – 0.01q + 0.0000031q? This monopolist maximizes profit at q* = 6610.33 (to the nearest penny). For this problem find the following: Show that the profit maximizing output level is 6610.33 (to the nearest penny) Find the price at the profit maximizing output level. The cost per unit at the profit maximizing output level. Profit per unit at the profit maximizing output level. he total profit (or loss) at the profit maximizing output level.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Problem 1QTC
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This problem is about a monopoly. Let a monopolist's inverse demand
function be given by
p = 100 – 0.0002q
which generates a marginal revenue function of
MR = 100 – 0.0004q
Let Total Cost be given by
TC = 100 + 28q – 0.005q? + 0.0000011q3
Which has marginal cost of
MC = 28 – 0.01q + 0.0000031q?
This monopolist maximizes profit at q* = 6610.33 (to the nearest penny).
%3D
For this problem find the following:
) Show that the profit maximizing output level is 6610.33 (to the nearest penny)
) Find the price at the profit maximizing output level.
) The cost per unit at the profit maximizing output level.
) Profit per unit at the profit maximizing output level.
) The total profit (or loss) at the profit maximizing output level.
Transcribed Image Text:This problem is about a monopoly. Let a monopolist's inverse demand function be given by p = 100 – 0.0002q which generates a marginal revenue function of MR = 100 – 0.0004q Let Total Cost be given by TC = 100 + 28q – 0.005q? + 0.0000011q3 Which has marginal cost of MC = 28 – 0.01q + 0.0000031q? This monopolist maximizes profit at q* = 6610.33 (to the nearest penny). %3D For this problem find the following: ) Show that the profit maximizing output level is 6610.33 (to the nearest penny) ) Find the price at the profit maximizing output level. ) The cost per unit at the profit maximizing output level. ) Profit per unit at the profit maximizing output level. ) The total profit (or loss) at the profit maximizing output level.
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A monopoly is the sole producer of a good in the market thus having maximum market power thus will acts as a price maker. 

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