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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) = 4x and C(x)=0.002x² + 1.6x + 60, 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) P(50) = $ (Type an integer or a decimal) (Type an integer or a decimal) c) R'(x) = 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'(50) = $ per item (Type an integer or a decimal) www C'(50) = $ per item (Type an integer or a decimal) P'(50) = $ 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) = 4x and C(x)=0.002x² + 1.6x + 60, 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) P(50) = $ (Type an integer or a decimal) (Type an integer or a decimal) c) R'(x) = 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'(50) = $ per item (Type an integer or a decimal) www C'(50) = $ per item (Type an integer or a decimal) P'(50) = $ per item (Type an integer or a decimal)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = 4x and C(x)=0.002x² + 1.6x + 60, 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) P(50)=$ (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'(50) = $ per item (Type an integer or a decimal) ww C'(50) = $ per item (Type an integer or a decimal) P'(50) = $ 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) = 4x and C(x)=0.002x² + 1.6x + 60, 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) P(50)=$ (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'(50) = $ per item (Type an integer or a decimal) ww C'(50) = $ per item (Type an integer or a decimal) P'(50) = $ per item (Type an integer or a decimal.)
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