Question

I'm trying to evaluate and solve this quadratic function and I get so lost on word problems I will include a picture

Answer 1

Given:

The Revenue function R(x):

$R(x)\text{ = 550x}$

The cost function C(x) :

$C(x)=1240+2x^2$

Solution

1. Profit is the difference between the revenue and the cost. Hence, the Profit function P(x) is:

$\begin{gathered} P(x)\text{ = R(x) - C(x)} \\ =550x-(1240+2x^2) \\ =550x-1240-2x^2 \end{gathered}$

2. The vertical intercept of P(x) can be obtained by substituting x =0 into P(x)

$\begin{gathered} P(x)=550x-1240-2x^2 \\ P(0)\text{ = 0 -1240 -0} \\ P(0)\text{ = -1240} \end{gathered}$

Ordered Pair : (0, -1240)

If the company sells no items, they would lose $ 1240