Question 1142559: Suppose your total benefits of renting x DVD's next month is:
-x^2+10x+60
The cost of renting a DVD is $2, and so the total cost of renting x DVD's is $2x.
Calculate your net benefit from watching 1, 2...8 DVDs. Complete column (2). (Enter your responses as integers.)
(1)
DVDs
Rented
(2) Total Net Benefit
0 _____
1 _____
2 _____
3 _____
4 _____
5 _____
6 _____
7 _____
8 _____
Your net benefit is maximized at ________ DVDs.
Suppose further that your marginal benefit from watching x DVD's is -2x+10
If you follow the Principle of Optimization at the Margin, you will rent
______ DVDs.
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
(1) To fill column 2, evaluate the given expression for x values 0, 1, ..., and 8; then it will be easy to see where the maximum benefit is obtained.
(2) For the last question, since you are asking the question, you probably know more about how to answer it than most of the tutors at this forum.
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