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 . What is the minimum unit cost? Do not round your answer.

Answer 1

The function is missing in the question. The function is
`$ C(x) = 0.8x^2 -544x +97410 $`

The answer is 4930

Explanation:

Unit cost of a car is given as

`$ C(x) = 0.8x^2 -544x +97410 $`

Cost will be minimum when

x = -(-544)/ 2 x 0.8

= 340

Therefore, minimum cost for unit car is

`$ C(x) = 0.8x^2 -544x +97410 $`

`$ = 0.8(340)^2 -544(340) +97410 $`

= 4930