<PRE><B>Question 1187270</B>
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^2 - 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?
:
Find the axis of symmetry of this quadratic equation using x = -b/(2a)
where a=.04, b=-4
x = {{{(-(-4))/(2*.04)}}}
x = {{{4/.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


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