Suppose that the total prot in hundreds ofdollars from selling x items is given by P(x) = 4x2 Bx +10. Complete parts a through d below. 5. Find the average rate of change of profit as x changes from 4 to 6. $:| per item b. Find the average rate of change ofprot as it changes from 4 to 5. $:| per item c. Find and interpret the instantaneous rate of change of prot with respect to the number of items produced when x: 4. (This number is called the marginal prot at x = 1.) $:| per item What does this result mean? Choose the correct answer below. [:1 A- When items are sold for $ . the prot is increasing at the rate of $4 per item. [:1 3- When items are sold for $ . the prot is decreasing at the rate of 84 per item. [:1 C- When 4 items are sold. the profit is increasing at the rate of S per item. 0 0- When 4 items are sold. the profit is decreasing at the rate of$ per item. d. Find the marginal profit at x: 6. $:| per item