The number of cars to minimize the cost

Question

asked Aug 10, 2021 158k views

1 Answer

Anya · Answer 1 · 2021-08-15T11:55:11+0000

Answer:

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.