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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 for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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
Transcribed Image Text: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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(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.)
Transcribed Image Text:(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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(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.)
Transcribed Image Text:(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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