A tennis racquet manufacturer is negotiating a lease on land to build a manufacturing plant. The price charged will be determined by p = $450 – (0.1)D per tennis racquet. The manufacturer faces variable costs of $25 per tennis racquet. Fixed costs of manufacturing are currently $25,000, in addition to the value of the lease being negotiated. a. For this situation, determine the optimal monthly sales volume for this product. b. How high can the lease be in order for the firm to make a positive profit.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...
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A tennis racquet manufacturer is negotiating a lease on land to build a manufacturing plant.
The price charged will be determined by p = $450 – (0.1)D per tennis racquet. The
manufacturer faces variable costs of $25 per tennis racquet. Fixed costs of manufacturing
are currently $25,000, in addition to the value of the lease being negotiated.
a. For this situation, determine the optimal monthly sales volume for this product.
b. How high can the lease be in order for the firm to make a positive profit.

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