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Suppose that the total prot in hundreds otdollars from selling x items is given by P(x) = 2X2 B): + 6 Complete pans a through

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Suppose that the total prot in hundreds otdollars from selling x items is given by P(x) = 2X2 B): + 6 Complete pans a through d below 21. Find the average rate of change of prot as )4 changes from 3 to 5. $ per item b. Find the average rate of change ofprot as x changes from 3 to 4. $ per item c. Find and interpret the instantaneous rate of change of prot with respect to the number of items produced when x= 3 [This number is called the marginal prot at x = 3.) $ per item What does this result mea n'? Choose the correct answer below. [:3 A- When 3 items are sold. the profit is decreasing at the rate of$ per item. [:1 B- When items are sold for $ . the prot is decreasing at the rate of 83 per item. [:1 C- When 3 items are sold. the profit is increasing at the rate oi 8 per item [:3 D- When items are sold for $ . the prot is increasing at the rate of $3 per item. d. Find the marginal profit at x= 5. $ per item

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