[b]Economical optimization[/b][br][br]Imagine you're selling chocolates at a party. You reckon that no-one will buy them if they are as expensive as 1 € each (or dollars, punds etc). On the other hand you will probably not sell more than 30 even if you give them away. After all, there are only a handful of persons coming to the party. [br][br]What price should you set so that your profit will be as high as possible? Your parents charge you for using the kitchen table because you make such a mess and you have to buy your ingredients yourself so you don't want to make too many. [br][br]How to figure this? With mathematics of course.

[b]Study [/b]the GeoGebra model and try to understand how each function depends on the others. [br][b]Play [/b]with the sliders and see what happens.[br]Try [b]changing the supply function[/b] for another kind of function like S(x) = GiveAwayNumber - 3x^2 or something similar. [br][b]Investigate [/b]how your maximum profit depends on the parameters (sliders). [br]What parameter is your optimum price most [b]sensitive [/b]to?[br]What parameter is your maximum profit most [b]sensitive [/b]too?