Question

The number of cars to minimize the cost

Answer 1

Answer:

310 cars

Step-by-step explanation:

The given function that models the cost is :

$c(x) = 0.4 {x}^{2} - 248x + 55514$

The function is of the form:

$c(x) = a {x}^{2} + bx + c$

where a=0.4 , b=-248 and c=55,514

The minimum cost occurs at:

$x = - \frac{b}{2a}$

We substitute to get:

$x = - \frac{ - 248}{2 \times 0.4}$

$x = 310$

Therefore 310 cars must be made to minimize cost.