THIS Suppose that the total profit in hundreds of dollars trom seling x tems is given by Po=2-4+7. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 3 tos 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 x3.) per item What does this result mean? Choose the corect answer below. OA When 3 items are sold, the profit is increasing at the rate ofs per tem OB. When 3 items are sold, the profit is decreasing at the rate of $ per item OC. When items are sold for S the profit is decreasing at the rate of $3 per tem O D. When items are soid for S the profit is increasing at the rate of $3 per tem. d. Find the marginal profit at x=5. per item

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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THis que
Suppose that the total profit in hundreds of dollars from selling x items is given by P=2 -4x+7. 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 x3. (This number is called the marginal profit at x3.)
per item
What does this result mean? Choose the correct answer below.
O A. When 3 items are sold, the profit is increasing at the rate of S
per item
OB. When 3 items are sold, the profit is decreasing at the rate of $
per item
O C. When items are sold for S
the profit is decreasing at the rate of $3 per item
O D. When items are sold for S
the profit is increasing at the rate of $3 per item.
d. Find the marginal profit at x=5.
per item
Transcribed Image Text:THis que Suppose that the total profit in hundreds of dollars from selling x items is given by P=2 -4x+7. 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 x3. (This number is called the marginal profit at x3.) per item What does this result mean? Choose the correct answer below. O A. When 3 items are sold, the profit is increasing at the rate of S per item OB. When 3 items are sold, the profit is decreasing at the rate of $ per item O C. When items are sold for S the profit is decreasing at the rate of $3 per item O D. When items are sold for S the profit is increasing at the rate of $3 per item. d. Find the marginal profit at x=5. per item
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