Question

The number of cars to minimize the cost

Answer 1

310 cars

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 = - (b)/(2a)`

We substitute to get:

`x = - ( - 248)/(2 * 0.4)`

`x = 310`

Therefore 310 cars must be made to minimize cost.