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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Question
![A fast-food restaurant determines the cost and revenue models for its hamburgers.
C = 0.5x + 7700,
0 < x < 50,000
-(62,000x – x2),
10,000
R =
0 < x < 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%2F823fc576-368f-401c-8178-202b8ea36dd1%2F8bdff333-904f-4464-9602-a3abb6148c37%2F3avc46l_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,
0 < x < 50,000
-(62,000x – x2),
10,000
R =
0 < x < 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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