<PRE><B>Question 1032035</B>
Spartanland has a stand that sells souvenir hats. Last year the stand charged $5 each, and they sold 150. they want to increase the price this year, and they expect to lose 10 sales for each $1 increase. The sales revenue, R, in dollars, generated by selling the hats is predicted by the function: R = (5 + p) (150 - 10p), where p is the price increase in dollars 
-------
The usual question on this type of problem is to maximize Revenue.
---------------------
R = 5*150 -50p + 150p - 10p^2
---
R = -10p^2 + 100p + 750
------
Maximum R occurs when p = -b/(2a) = -100/(2*-10) = 5
---------------------------
To maximize revenue increase the price by $5
-------------
Cheers,
Stan H.
---------------
  </PRE>