the profit that the vender makes per day by selling x pretzels is given by the function p(x)=-0.004x^2+2.8x-250. find the number of pretzels that must be sold to maximize profit

Question

austinl · Answer

Do you have a graphing calculator?

austinl · Answer

Are you familiar with the quadratic formula?

anonymous · Answer

yes

austinl · Answer

Wait... nevermind, that wont work.

austinl · Answer

We have a function of the form,

$p(x)=ax^2+bx+c$

We can find the maximum y($p(x)$) value using this formula.

$\displaystyle p(x)_{max/min}=c-\frac{b^2}{4a}$

We can plug in values for that, and then when we figure that out, we can solve for x at that point!