A company has determined that the price and the monthly demand of one of its products are related by the equation D (375-P)^0.5, wherep is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,176/month, and the variable costs are $95/unit. What is the optimal number of units that should be produced and sold each month?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A company has determined that the price and the monthly demand of one of its products are
related by the equation D = (375-P)^o.5 , where p is the price per unit in dollars and D is the
monthly demand. The associated fixed costs are $1,176/month, and the variable costs are
$95/unit. What is the optimal number of units that should be produced and sold each month?
Transcribed Image Text:A company has determined that the price and the monthly demand of one of its products are related by the equation D = (375-P)^o.5 , where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,176/month, and the variable costs are $95/unit. What is the optimal number of units that should be produced and sold each month?
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