A charter flight charges a fare of $100 per person, plus $2 per person for each unsold seat on the plane. The plane holds 100 passengers and x represents the number of unsold seats. (a) Find an expression for the total revenue received for the flight. (Hint: Multiply the number of people flying, 100-x, by the price per ticket, 100+ 2x.) (b) Find the graph for the expression in part (a). (c) Find the number of unsold seats that will produce the maximum revenue. (d) Find the maximum revenue. (a) The total revenue received for the flight is expressed by R(x) = (b) Choose the correct graph below. O A. -150 6250 12500 Ay 150 Q OB. 12500 -150 6250 Ay X 150 (c) The number of unsold seats that will produce the maximum revenue is (d) The maximum revenue is $ Q ... O C. -15 6250 12500 150 Q G O D. -150 12500 6250 A) Q

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A charter flight charges a fare of $100 per person, plus $2 per person for each unsold seat on the plane. The plane holds 100 passengers and x represents the number of unsold seats.
(a) Find an expression for the total revenue received for the flight. (Hint: Multiply the number of people flying, 100-x, by the price per ticket, 100 + 2x.)
(b) Find the graph for the expression in part (a).
(c) Find the number of unsold seats that will produce the maximum revenue.
(d) Find the maximum revenue.
(a) The total revenue received for the flight is expressed by R(x) = .
(b) Choose the correct graph below.
O A.
-150
Ay
6250-
12500
150
B.
-150
12500
6250
y
X
(c) The number of unsold seats that will produce the maximum revenue is
(d) The maximum revenue is $
O C.
-150
6250-
12500
X
150
D.
-150
12500
¹6250
y
X
Transcribed Image Text:A charter flight charges a fare of $100 per person, plus $2 per person for each unsold seat on the plane. The plane holds 100 passengers and x represents the number of unsold seats. (a) Find an expression for the total revenue received for the flight. (Hint: Multiply the number of people flying, 100-x, by the price per ticket, 100 + 2x.) (b) Find the graph for the expression in part (a). (c) Find the number of unsold seats that will produce the maximum revenue. (d) Find the maximum revenue. (a) The total revenue received for the flight is expressed by R(x) = . (b) Choose the correct graph below. O A. -150 Ay 6250- 12500 150 B. -150 12500 6250 y X (c) The number of unsold seats that will produce the maximum revenue is (d) The maximum revenue is $ O C. -150 6250- 12500 X 150 D. -150 12500 ¹6250 y X
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