SOLUTION: The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars

Algebra ->  Finance -> SOLUTION: The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars      Log On


   

Question 1041464: The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars of baking x cookies is
+C%28x%29+=+0.1x+%2B+17+
and that the demand function for their cookies is
+p+=+13+-+0.01x.+
How many cookies should they bake in order to maximize their profit?
If you can just help me understand how I can make this into a 2nd degree polynomial, I can figure it out from there. I'm just having issues getting from point A to point B.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The profit function, F{x), is equal to,
F%28x%29=x%2Ap%28x%29-C%28x%29
F%28x%29=13x-0.01x%5E2-0.1x-17
F%28x%29=-0.01x%5E2%2B12.9x-17
You can either use the derivative or put it in vertex form to get the maximum.