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)=0.003x²+3.7x+60, 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) 117 C'(x)= 0.006x +3.7 (Use integers or decimals for any numbers in the expression.) P'(x)=-0.006x +4.3 (Use integers or decimals for any numbers in the expression) d) R'(100) = $ per item (Type an integer or a decimal) C'(100) = $ per item (Type an integer or a decimal) P'(100)= $ per item (Type an integer or a decimal)

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) = 8x and
C(x)=0.003x² +3.7x+60, 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)
- ۱۰۱ ۳۰
C'(x)= 0.006x +3.7
(Use integers or decimals for any numbers in the expression.)
S
P'(x)= -0.006x +4.3
(Use integers or decimals for any numbers in the expression)
d) R'(100) = $ per item
(Type an integer or a decimal)
C'(100) = $ per item
(Type an integer or a decimal)
P'(100) $ 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) = 8x and C(x)=0.003x² +3.7x+60, 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) - ۱۰۱ ۳۰ C'(x)= 0.006x +3.7 (Use integers or decimals for any numbers in the expression.) S P'(x)= -0.006x +4.3 (Use integers or decimals for any numbers in the expression) d) R'(100) = $ per item (Type an integer or a decimal) C'(100) = $ per item (Type an integer or a decimal) P'(100) $ per item (Type an integer or a decimal)
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