A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7700, OSxS 50,000 1 (62,000x – x²), 10,000 R = OSxS 50,000 (a) Write the profit function for this situation. P = (b) Determine the intervals on which the profit function is increasing and decreasing. (Enter your answers using interval notation.) increasing decreasing (c) Determine how many hamburgers the restaurant needs to sell to obtain a maximum profit. hamburgers
A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7700, OSxS 50,000 1 (62,000x – x²), 10,000 R = OSxS 50,000 (a) Write the profit function for this situation. P = (b) Determine the intervals on which the profit function is increasing and decreasing. (Enter your answers using interval notation.) increasing decreasing (c) Determine how many hamburgers the restaurant needs to sell to obtain a maximum profit. hamburgers
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 102E: Crime prevention The number f(x) of incidents of family violence requiring police response appears...
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![A fast-food restaurant determines the cost and revenue models for its hamburgers.
C = 0.5x + 7700,
0sxs 50,000
1
-(62,000x – x2),
10,000
R =
Osx< 50,000
(a) Write the profit function for this situation.
P =
(b) Determine the intervals on which the profit function is increasing and decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(c) Determine how many hamburgers the restaurant needs to sell to obtain a maximum profit.
hamburgers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff526675-2927-48d0-a1ec-ea232dd91872%2Fb2c65d05-ae61-4db8-85b7-88b85e4bcdaa%2Fjpjez89_processed.png&w=3840&q=75)
Transcribed Image Text:A fast-food restaurant determines the cost and revenue models for its hamburgers.
C = 0.5x + 7700,
0sxs 50,000
1
-(62,000x – x2),
10,000
R =
Osx< 50,000
(a) Write the profit function for this situation.
P =
(b) Determine the intervals on which the profit function is increasing and decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(c) Determine how many hamburgers the restaurant needs to sell to obtain a maximum profit.
hamburgers
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