The marginal cost of production is found to be C'(x) = 1000 – 20x + x² where x is the number of units produced. The fixed cost of production is $9000. The manufacturer sets the price per unit at $3400. a) Find the cost function. b) Find the revenue function. c) Find the profit function. d) Find the sales volume that yields maximum profit. e) Graph the revenue, cost, and profit functions.
The marginal cost of production is found to be C'(x) = 1000 – 20x + x² where x is the number of units produced. The fixed cost of production is $9000. The manufacturer sets the price per unit at $3400. a) Find the cost function. b) Find the revenue function. c) Find the profit function. d) Find the sales volume that yields maximum profit. e) Graph the revenue, cost, and profit functions.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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