Question 172052: hello, I'm having problems with this math problem, your help would be very appreciated. Here it is...
The relationship between the selling price of a sleeping bag, s dollars, and the revenue at that selling price, r(s) dollars, is represented by the function r(s)=-10s^2 + 1500s. Evaluate, interpret, and compare r(29.95), r(60.00), r(75.00), r(90.00), and r(130.00).
Do I have to go through each one and substitute into the equation like so...r(29.95) = -10(29.95)^2 + 1500(29.95), solve, and compare ?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! That's exactly what you need to do.
What you are going to see is that if the sell price is small, you might sell a great many of the items, but your total revenue (price * number sold) will still be relatively small, whereas if you make the price very high, you will sell a great many less, and your revenue will again be relatively small. There is a price point, however, that maximizes the revenue. As you might suspect, one of the values you are asked to evaluate is, for this particular revenue as a function of price function, that price value that gives you the maximum revenue.
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