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9.6 Exercise 91

Avg difficulty 2.5

Solve. Round answers to the nearest tenth.

A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70 − x boots a week. Use the quadratic function R(x) = −x2 +70x to find the revenue received when the average selling price of a pair of fashion boots is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue per day.

OpenStax Intermediate Algebra 2e, 9.6 Graph Quadratic Functions Using Properties, exercise 91

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.