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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) = 8x and C(x) = 0.003x + 1.3x + 50, find each of the following a) P(x) b) R(100), C(100), and P(100) 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) = 8x and C(x) = 0.003x + 1.3x + 50, find each of the following a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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)= 8x and C(x)= 0.003x + 1.3x +50, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R'(100), C'(100), and P'(100) P(100)= $|590| (Type an integer or a decimal.) c) R'(x) = 8 (Type an integer or a decimal.) C'(x) = 0.006x + 1.3 (Use integers or decimals for any numbers in the expression.) P'(x) =-0.006x + 6.7 (Use integers or decimals for any numbers in the expression.) %3D d) R'(100) = $ per item (Type an integer or a decimal.) C'(100) = $ per item (Type an integer or a decimal.) P'(100) = $ (Type an integer or a decimal.) per item
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)= 8x and C(x)= 0.003x + 1.3x +50, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R'(100), C'(100), and P'(100) P(100)= $|590| (Type an integer or a decimal.) c) R'(x) = 8 (Type an integer or a decimal.) C'(x) = 0.006x + 1.3 (Use integers or decimals for any numbers in the expression.) P'(x) =-0.006x + 6.7 (Use integers or decimals for any numbers in the expression.) %3D d) R'(100) = $ per item (Type an integer or a decimal.) C'(100) = $ per item (Type an integer or a decimal.) P'(100) = $ (Type an integer or a decimal.) per item
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