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) = 0.004x² + 5.1x + 40, find each of the following. a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 58PPS
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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) = 0.004x +5.1x+ 40, 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)
a) P(x) =D
(Use integers or decimals for any numbers in the expression.)
b) R(200) = $
(Type an integer or a decimal.)
C(200) = sO
(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) =D
(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'(200) = S per item
(Type an integer or a decimal.)
c'(200) = s per item
(Type an integer or a decimal.)
P'(200) = 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) = 8x and C(x) = 0.004x +5.1x+ 40, 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) a) P(x) =D (Use integers or decimals for any numbers in the expression.) b) R(200) = $ (Type an integer or a decimal.) C(200) = sO (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) =D (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'(200) = S per item (Type an integer or a decimal.) c'(200) = s per item (Type an integer or a decimal.) P'(200) = S per item (Type an integer or a decimal.)
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