Question

A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function C(x)=0.9x^2-432x+67,198 .How many cars must be made to minimize the unit cost?

Do not round your answer.

Answer 1

9514 1404 393

Answer:

240 cars

Explanation:

The x-coordinate of the vertex of the quadratic function ax^2 +bx +c is found at ...

x = -b/(2a)

The vertex is the point at which the cost function is a minimum. So, we're interested in the value of x there.

x = -(-432)/(2(0.9)) = 432/1.8 = 240

240 cars must be made to minimize the unit cost.