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A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9 x + 7400, 0 x 50,000 R = 1 10,000

A fast-food restaurant determines the cost and revenue models for its hamburgers.

C = 0.9x + 7400, 0 x 50,000
R =
1
10,000

(64,000x 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

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