Question

# The cost, in dollars, for a company to produce *x* widgets is given by *C*(*x*) = 5250 +

7.00*x* for

*x(>=)* 0, and the price-demand function, in dollars per widget, is *p*(*x*) = 45 - 0.02*x* for 0 (<=) *x* (<=) 2250.

Given that the profit function for this scenario is

* P*(*x*) = -0.04x^{2 }+ 18.00*x *- 250.

(a) The profit function is a quadratic function and so its graph is a parabola.

Does the parabola open up or down? __________

(b) Find the vertex of the profit function *P*(*x*) using algebra.

#### Top Answer

a) As coefficient of x^2 in profit function is equal to "- 0.04" which is negative , So, the parabolla is... View the full answer