If, in a monopoly market, the demand function for a product is p = 160 − 0.10x and the revenue function is R = px, where x is the number of units sold and p is the price per unit, what price will maximize revenue? $ ______

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter25: Monopoly
Section: Chapter Questions
Problem 10E
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If, in a monopoly market, the demand function for a product is

p = 160 − 0.10x

and the revenue function is

R = px,

where x is the number of units sold and p is the price per unit, what price will maximize revenue?
$ ______

Expert Solution
Step 1

Demand function shows the functional relationship between Quantity demanded for a commodity and its various Determinants. The quantity demanded is inversely related to price of the products, i.e., if prices fall, the demand will increase.

here we calculate the price of maximum revenue by the following method as follow;

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