We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and reven p(x) = 85 - 3x Price-demand function R(x) = xp(x) = x(85 - 3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 ≤x≤ 17. (A) Which of the following is the graph of the revenue function? O A. 0- 5 10 15 20 -200- -400- -600- Q G (B) Find the output that will produce the maximum revenue. million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ million (Round to two decimal places.) OB. 600- 400- 200- 0- (C) What is the wholesale price per chip that produces the maximum revenue? CA $ (Round to the nearest dollar.) B 0 5 10 15 20 ○ C. -600- 400- -200- E -20-15-10-50

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and reven
p(x) = 85 - 3x
Price-demand function
R(x) = xp(x) = x(85 - 3x)
Revenue function
where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 ≤x≤ 17.
(A) Which of the following is the graph of the revenue function?
O A.
0-
5 10 15 20
-200-
-400-
-600-
Q
G
(B) Find the output that will produce the maximum revenue.
million chips (Type an integer or a fraction. Simplify your answer.)
What is the maximum revenue?
$
million (Round to two decimal places.)
OB.
600-
400-
200-
0-
(C) What is the wholesale price per chip that produces the maximum revenue?
CA
$
(Round to the nearest dollar.)
B
0 5 10 15 20
○
C.
-600-
400-
-200-
E
-20-15-10-50
Transcribed Image Text:We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and reven p(x) = 85 - 3x Price-demand function R(x) = xp(x) = x(85 - 3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 ≤x≤ 17. (A) Which of the following is the graph of the revenue function? O A. 0- 5 10 15 20 -200- -400- -600- Q G (B) Find the output that will produce the maximum revenue. million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ million (Round to two decimal places.) OB. 600- 400- 200- 0- (C) What is the wholesale price per chip that produces the maximum revenue? CA $ (Round to the nearest dollar.) B 0 5 10 15 20 ○ C. -600- 400- -200- E -20-15-10-50
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