A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7800, 0 ≤ x ≤ 50,000 R = 1 20,000(63,000x − x2), 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 Explain your reasoning. Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value.Because the function is always decreasing, the maximum profit occurs at this value of x. The restaurant makes the same amount of money no matter how many hamburgers are sold.Because the function changes from increasing to decreasing at this value of x, the maximum profit occurs at this value.Because the function is always increasing, the maximum profit occurs at this value of x.
A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7800, 0 ≤ x ≤ 50,000 R = 1 20,000(63,000x − x2), 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 Explain your reasoning. Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value.Because the function is always decreasing, the maximum profit occurs at this value of x. The restaurant makes the same amount of money no matter how many hamburgers are sold.Because the function changes from increasing to decreasing at this value of x, the maximum profit occurs at this value.Because the function is always increasing, the maximum profit occurs at this value of x.
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 77E: Minimizing cost A company that produces and sells digital cameras has determined that the total...
Related questions
Question
A fast-food restaurant determines the cost and revenue models for its hamburgers.
C | = | 0.5x + 7800, 0 ≤ x ≤ 50,000 | ||
R | = |
|
(a) Write the profit function for this situation.
(b) Determine the intervals on which the profit function is increasing and decreasing. (Enter your answers using interval notation.)
(c) Determine how many hamburgers the restaurant needs to sell to obtain a maximum profit.
hamburgers
Explain your reasoning.
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
Explain your reasoning.
Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value.Because the function is always decreasing, the maximum profit occurs at this value of x. The restaurant makes the same amount of money no matter how many hamburgers are sold.Because the function changes from increasing to decreasing at this value of x, the maximum profit occurs at this value.Because the function is always increasing, the maximum profit occurs at this value of x.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning