4. Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x - 4x+7. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. 2$ per item b. Find the average rate of change of profit as x changes from 2 to 3. 24 per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = (This number is called the marginal profit at x = 2.) 2$ per item What d n? Choose the correct answer below.

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The instantaneous rate of change at xX =0 is
4. Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x - 4x+7. Complete parts a
through d below.
a. Find the average rate of change of profit as x changes from 2 to 4.
2$
per item
b. Find the average rate of change of profit as x changes from 2 to 3.
2$
per item
c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x= 2.
(This number is called the marginal profit at x-2.)
24
per item
What does this result mean? Choose the correct answer beloW.
O A. When items are sold for $
the profit is increasing at the rate of $2 per item.
B. When 2 items are sold, the profit is decreasing at the rate of $
per item.
O C. When items are sold for $
the profit is decreasing at the rate of $2 per item.
O D. When 2 items are sold, the profit is increasing at the rate of $
per item.
d. Find the marginal profit at x=4.
2.
per item
Transcribed Image Text:The instantaneous rate of change at xX =0 is 4. Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x - 4x+7. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. 2$ per item b. Find the average rate of change of profit as x changes from 2 to 3. 2$ per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x= 2. (This number is called the marginal profit at x-2.) 24 per item What does this result mean? Choose the correct answer beloW. O A. When items are sold for $ the profit is increasing at the rate of $2 per item. B. When 2 items are sold, the profit is decreasing at the rate of $ per item. O C. When items are sold for $ the profit is decreasing at the rate of $2 per item. O D. When 2 items are sold, the profit is increasing at the rate of $ per item. d. Find the marginal profit at x=4. 2. per item
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