Question

Can some help me with this algebra problem. I have done it several times but it seems to be wrong everytime

Answer 1

Answer:

x=25.61

Step-by-step explanation:

To determine the smallest amount, in dollars , that you can charge and make a profit of atleast $415, you need to find the value of x that gives p=415.

Substitute p=415 in the given quadratic equation and solve it for x.

$415=-0.5x^{2} +36x-179$

$x^{2} -72x+1188=0$

$x=\frac{-(-72)+\sqrt{(-72)^{2}-4(1)(1188)} }{2(1)}$

on solving we get $x=25.61$

The smallest amount you could charge and make a profit of $415 is $25.61