Question

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x)= 155-(x/10):
a. find an expression for the total revenue from the sale of x thousand candy bars.
b. find the value of x that leads to maximum revenue
c. find the maximum revenue

Answer 1

The expression for the total revenue from x thousand sales is 155,000x - 100x².

The value of x is 775 cents and the maximum revenue is $60,062,500.

What is the maximum revenue?

First, come up with an expression for total revenue from x thousand sales:

= (155  - x /10 ) × x × 1,000 units

= 155,000x - 100x²

The value of x would then be:

Derive the function from the total revenue function to give:

0 = 155,000 - 200x

x = 775 cents

The maximum revenue is therefore:

= 155,000(775) - 100(775)²

= $60,062,500

Find out more on finding the maximum revenue at brainly.com/question/11829776.

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