An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. if x is in dollars, the weekly profit is p(x) = – 2800x2 + 7280x – 3576 dollars. (a) approximate the maximum profit and the price per cup that produces that profit. $ 1.30 correct: your answer is correct. per cup (optimal price) $ 1156 correct: your answer is correct. (maximum profit) (b) which function, p(x – 2) or p(x) – 2, gives a function that has the same maximum profit? what price per cup produces that maximum profit? p(x) – 2 p(x – 2) correct: your answer is correct. $ 3.30 correct: your answer is correct. per cup (optimal price) (c) which function, p(x + 40) or p(x) + 40, gives a function where the price per cup that produces the maximum profit remains unchanged? what is the maximum profit? p(x) + 40 p(x + 40) correct: your answer is correct. $ incorrect: your answer is incorrect. (maximum profit)