A company manufactures and sells x smartphones per week. The weekly price- demand and cost equations are given below, where p is the unit price in dollars and x is the number of units. p(x) = 500 0.4x and C(x) = 20000 + 20x 1) Give the equation for R(x), the total weekly revenue. 2) Give the equation for P(x), the total weekly profit. 3) What price should the company charge for the phones and how many phones should be produced to maximize the weekly profit. What is the maximum weekly profit?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
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A company manufactures and sells x smartphones per week. The weekly price-
demand and cost equations are given below, where p is the unit price in dollars and x
is the number of units.
p(x) = 500 -0.4x and C(x) = 20000 + 20x
1) Give the equation for R(x), the total weekly revenue.
2) Give the equation for P(x), the total weekly profit.
3) What price should the company charge for the phones and how many phones
should be produced to maximize the weekly profit. What is the maximum weekly
profit?
Transcribed Image Text:A company manufactures and sells x smartphones per week. The weekly price- demand and cost equations are given below, where p is the unit price in dollars and x is the number of units. p(x) = 500 -0.4x and C(x) = 20000 + 20x 1) Give the equation for R(x), the total weekly revenue. 2) Give the equation for P(x), the total weekly profit. 3) What price should the company charge for the phones and how many phones should be produced to maximize the weekly profit. What is the maximum weekly profit?
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