A medical 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^2-408x+76,064

.What is the minimum unit cost?

# EXPERT ANSWER

then the unit cost is given by the function

C(x)=0.6×2−408x+76,064

The standard form of the quadratic equation is ax2+bc+c=0

a=0.6

b=-408

=76064

we can find the minimum vertex i.e, -b/(2a)

=−b2a=4081.2=340

when x=340

then the unit cost is given by the function

C(x)=0.6×3402−408×340+76,064

C(x)=6,704

minimum unit cost is 6704