The unit cost C depends on the number of cars made. If x cars were made, then the unit cost is given by the function C(x)=0.3x^2-66x+14,571. What is the minimum cost?

Minimum cost is $12427.85

Step-by-step explanation:

The unit cost C is given as:

where x is the number of cars made.

To determine the minimum cost, C(x), first we determine the minimum value of the quadratic expression

When a>0, C(x) will attain minimum value at the point determined by .

Comparing with the general form of a quadratic expression

a=0.3, b=-66, c=14571

Minimum Value occurs at

Therefore, the Minimum Cost, C(x) occurs at the point x=39.6

Substituting  x=39.6 into C(x)

C(39.6)=

The Minimum cost is $12427.85

d

step-by-step explanation:

step-by-step explanation: