Amedical equipment industry manufactures x-ray machines. the unit cost c
(the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function
c(x)=0.6x^2-108x+19,222. what is the minimum unit cost?

do not round your answer

Minimum Unit Cost = $14,362

Step-by-step explanation:

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.6

b = -108

c = 19,222

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

-(-108)/2(0.6) = 108/1.2 = 90

Plugging this value into original function would give us the minimum (unit cost):

The minimum unit cost is 14,362

Step-by-step explanation:

The minimum unit cost is given by a quadratic equation. Therefore the minimum value is at its vertex

For a quadratic function of the form

the x coordinate of the vertex is

In this case the equation is:

Then

Therefore the x coordinate of the vertex is:

Finally the minimum unit cost is:

addition

step-by-step explanation: