Question

A company manufactures and sells diamond-encrusted cell phone cases. The weekly price-demand and total weekly cost equations are shown below: x ≥ 0. p(x) = 1000 - 1/2x C(x) = 5000 + 600x Answer the following questions based on these equations: (a) Write the equation for total revenue, R(x). (b) Write the equation for total profit, P(x). (c) To maximize the revenue, what price should be charged for each case and how many cases should be produced and sold? (d) To maximize the profit, what price should be charged for each case and how many cases should be produced and sold?

Name: 6 a company manufactures and sells diamond encrusted cell phone cases the weekly price demand and total weekly cost equations are shown below x 0 px 1000 1 2 x cx 5000 600x answer the follow 36889
Uploaded: 2022-06-07T08:44:10-08:00
Duration: 5 min 30 s
Channel: Shaiju T
Description: 6 a company manufactures and sells diamond encrusted cell phone cases the weekly price demand and total weekly cost equations are shown below x 0 px 1000 1 2 x cx 5000 600x answer the follow 36889

          A company manufactures and sells diamond-encrusted cell phone cases. The weekly price-demand and total weekly cost equations are shown below: x ≥ 0.
p(x) = 1000 - 1/2x
C(x) = 5000 + 600x

Answer the following questions based on these equations:
(a) Write the equation for total revenue, R(x).
(b) Write the equation for total profit, P(x).
(c) To maximize the revenue, what price should be charged for each case and how many cases should be produced and sold?
(d) To maximize the profit, what price should be charged for each case and how many cases should be produced and sold?

Added by Lauren M.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Shaiju T

06/07/2022

Step 1

The price-demand equation is \( p(x) = 1000 - \frac{1}{2}x \). The total cost equation is \( C(x) = 5000 + 600x \). Show more…

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A company manufactures and sells diamond-encrusted cell phone cases. The weekly price-demand and total weekly cost equations are shown below: x ≥ 0. p(x) = 1000 - 1/2x C(x) = 5000 + 600x Answer the following questions based on these equations: (a) Write the equation for total revenue, R(x). (b) Write the equation for total profit, P(x). (c) To maximize the revenue, what price should be charged for each case and how many cases should be produced and sold? (d) To maximize the profit, what price should be charged for each case and how many cases should be produced and sold?