A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x) = 125+ 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1sx52 (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. B

A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x) = 125+ 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1sx52 (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. B

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A company manufactures microchips. Use the revenue function R(x)= x(75-3x) and the cost function C(x) = 125 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤x≤20.
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
P(x)=
(Type your answer in standard form.)
C

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Follow-up Question

(D) Find the value of x (to the nearest thousand chips) that produces the maximum profit. Find the maximum profit (to the nearest thousand dollars), and compare it to the maximum revenue.
The maximum profit occurs at x = million chips.
(Round to three decimal places as needed.)

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Follow-up Question

(C) Find the x intercepts of P to the nearest thousand chips. Find the break-even points to the nearest thousand chips.
The x-intercepts of P occur at x =
million chips.
(Use a comma to separate answers as needed. Round to three decimal places as needed.)

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