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Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x) = 0.001x² +2.2x+60, find each of the following a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x)

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x) = 0.001x² +2.2x+60, find each of the following a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x)=0.001x² +2.2x+60, find each of the following. a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x) d) R (200), C'(200), and P'(200) C a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(200) = $ (Type an integer or a decimal.) C(200) = $ (Type an integer or a decimal.) P(200) = $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x) = (Use integers or decimals for any numbers in the expression.) P'(x) = (Use integers or decimals for any numbers in the expression.) d) R'(200) = $ per item (Type an integer or a decimal.) C'(200) = $ per item (Type an integer or a decimal.) P'(200) = $ per item (Type an integer or a decimal.)
Transcribed Image Text:Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x)=0.001x² +2.2x+60, find each of the following. a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x) d) R (200), C'(200), and P'(200) C a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(200) = $ (Type an integer or a decimal.) C(200) = $ (Type an integer or a decimal.) P(200) = $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x) = (Use integers or decimals for any numbers in the expression.) P'(x) = (Use integers or decimals for any numbers in the expression.) d) R'(200) = $ per item (Type an integer or a decimal.) C'(200) = $ per item (Type an integer or a decimal.) P'(200) = $ per item (Type an integer or a decimal.)
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