SOLUTION: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C=0.04x2 squared −4x + 800 . What is the mi

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Question 1187270: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C=0.04x2 squared −4x + 800
. What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to achieve that minimum?


The number of DVD/Blu-ray players that should be build to achieve the minimum is



The minimum average cost is



**Answer both to the nearest whole number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation:
C+=+0.04x%5E2+-+4x+%2B+800
What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to achieve that minimum?
:
Find the axis of symmetry of this quadratic equation using x = -b/(2a)
where a=.04, b=-4
x = %28-%28-4%29%29%2F%282%2A.04%29
x = 4%2F.08
x = 50 units for minimum average cost
:
Find the actual cost then
C = .04(50^2) - 4(50) + 800
C = 100 - 200 + 800
C = $700