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) = 5x and C(x) = 0.003x² +1.4x+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) C a) P(x)= (Use integers or decimals for any numbers in the expression.) b) R(50) = $ (Type an integer or a decimal.) C(50) = $ (Type an integer or a decimal.) 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.)

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) = 5x and C(x) = 0.003x² +1.4x+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)
C
a) P(x) =
(Use integers or decimals for any numbers in the expression.)
b) R(50) = $
(Type an integer or a decimal.)
C(50) = $
(Type an integer or a decimal.)
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.)
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) = 5x and C(x) = 0.003x² +1.4x+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) C a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(50) = $ (Type an integer or a decimal.) C(50) = $ (Type an integer or a decimal.) 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.) C'(50) = $ per item (Type an integer or a decimal.) P'(50) = $ per item (Type an integer or a decimal.)
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