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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) = 6x and C(x) = 0.002x2 + 3.3x + 40, find each of the following. a) P(x) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P'(50) a) P(x) = D (Use integers or decimals for any numbers in the expression.) b) R(50) = S (Type an integer or a decimal.) C(50) = S (Type an integer or a decimal.) P(50) = SO (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x) =O (Use integers or decimals for any numbers in the expression.) P'(x) =O (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) C'(50) = $ per item (Type an integer or a decimal.) P'(50) = S per item (Type an integer or a decimal.)

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) = 6x and C(x) = 0.002x2 + 3.3x + 40, find each of the following. a) P(x) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P'(50) a) P(x) = D (Use integers or decimals for any numbers in the expression.) b) R(50) = S (Type an integer or a decimal.) C(50) = S (Type an integer or a decimal.) P(50) = SO (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x) =O (Use integers or decimals for any numbers in the expression.) P'(x) =O (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) C'(50) = $ per item (Type an integer or a decimal.) P'(50) = S per item (Type an integer or a decimal.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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) = 6x and C(x) = 0.002x + 3.3x+ 40, find each of the following. a) P(x) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P'(50) a) P(x) =O (Use integers or decimals for any numbers in the expression.) b) R(50) = S (Type an integer or a decimal.) C(50) = S (Type an integer or a decimal.) P(50) = S (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) c'(x) =D (Use integers or decimals for any numbers in the expression.) P'(x) =D (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) c'(50) = $ per item (Type an integer or a decimal.) P'(50) = S 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) = 6x and C(x) = 0.002x + 3.3x+ 40, find each of the following. a) P(x) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P'(50) a) P(x) =O (Use integers or decimals for any numbers in the expression.) b) R(50) = S (Type an integer or a decimal.) C(50) = S (Type an integer or a decimal.) P(50) = S (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) c'(x) =D (Use integers or decimals for any numbers in the expression.) P'(x) =D (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) c'(50) = $ per item (Type an integer or a decimal.) P'(50) = S per item (Type an integer or a decimal.)
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