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

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step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.