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

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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
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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