Answer:
83,491.67 dollars
Step-by-step explanation:
Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation [tex]C=0.03x^2-5x+700[/tex]
To find the minimum average cost per machine we can use derivative test.
we find first and second derivative.
If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.
[tex]C=0.03x^2-5x+700\\C'(x) = 0.06x-5\\C"(x) = 0.06>0[/tex]
Second derivative is always positive
I derivative =0 gives
[tex]x=5/0.06 \\=83.33\\~83[/tex]
For 83 players the cost would be minimum
Minimum cost = [tex]0.03(83)^2-5(83)+700\\=491.67[/tex]
