Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) and (b) below. 2 R(x) = -x + 8x. C(x)=x+ 10 (a) Find the maximum revenue. How can the maximum revenue be found? Choose the correct answer below. OA. Find the x-intercept of R(x). OB. Find the y-intercept of R(x). OC. Find the x-coordinate of the vertex of R(x). OD. Find the y-coordinate of the vertex of R(x). The maximum revenue is dollar(s). (Simplify your answer.) (b) Find the maximum profit. Let P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). P(x)=0 dollar(s). The maximum profit is (Simplify your answer.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) and (b) below.
2
R(x) = -x + 8x. C(x)=x+10
(a) Find the maximum revenue.
How can the maximum revenue be found? Choose the correct answer below.
OA. Find the x-intercept of R(x).
OB. Find the y-intercept of R(x).
OC. Find the x-coordinate of the vertex of R(x).
OD. Find the y-coordinate of the vertex of R(x).
The maximum revenue is
dollar(s).
(Simplify your answer.)
(b) Find the maximum profit.
Let P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x).
P(x) =
The maximum profit is
dollar(s).
(Simplify your answer.)
Transcribed Image Text:Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) and (b) below. 2 R(x) = -x + 8x. C(x)=x+10 (a) Find the maximum revenue. How can the maximum revenue be found? Choose the correct answer below. OA. Find the x-intercept of R(x). OB. Find the y-intercept of R(x). OC. Find the x-coordinate of the vertex of R(x). OD. Find the y-coordinate of the vertex of R(x). The maximum revenue is dollar(s). (Simplify your answer.) (b) Find the maximum profit. Let P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). P(x) = The maximum profit is dollar(s). (Simplify your answer.)
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