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?

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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