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A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7900, OSxs 50,000 1 (61,000x – x2), 10,000 R = 0 Sx < 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. O Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value. O The restaurant makes the same amount of money no matter how many hamburgers are sold. O Because the function changes from increasing to decreasing at this value of x, the maximum profit occurs at this value. O Because the function is always decreasing, the maximum profit occurs at this value of x. O 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 + 7900, OSxs 50,000 1 (61,000x – x2), 10,000 R = 0 Sx < 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. O Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value. O The restaurant makes the same amount of money no matter how many hamburgers are sold. O Because the function changes from increasing to decreasing at this value of x, the maximum profit occurs at this value. O Because the function is always decreasing, the maximum profit occurs at this value of x. O Because the function is always increasing, the maximum profit occurs at this value of x.

College Algebra (MindTap Course List)
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 103E
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A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7900, 0 <x < 50,000 1 (61,000x – 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 Explain your reasoning. Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value. The restaurant makes the same amount of money no matter how many hamburgers are sold. O 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 decreasing, the maximum profit occurs at this value of x. Because the function is always increasing, the maximum profit occurs at this value of x.
Transcribed Image Text:A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.5x + 7900, 0 <x < 50,000 1 (61,000x – 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 Explain your reasoning. Because the function changes from decreasing to increasing at this value of x, the maximum profit occurs at this value. The restaurant makes the same amount of money no matter how many hamburgers are sold. O 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 decreasing, the maximum profit occurs at this value of x. Because the function is always increasing, the maximum profit occurs at this value of x.
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