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Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 3x- - 7x + 8. Complete parts
Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 3x- - 7x + 8. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 3 to 5. $ per item b. Find the average rate of change of profit as x changes from 3 to 4. per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = 3. (This number is called the marginal profit at x = 3.) $ per item What does this result mean? Choose the correct answer below. O A. When 3 items are sold, the profit is decreasing at the rate of $ per item. B. When items are sold for $ , the profit is increasing at the rate of $3 per item. O C. When 3 items are sold, the profit is increasing at the rate of $ per item. D. When items are sold for $ , the profit is decreasing at the rate of $3 per item. d. Find the marginal profit at x = 5. VI More hp
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