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 $C=0.03x^2-5x+700$

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.

$C=0.03x^2-5x+700\\C'(x) = 0.06x-5\\C"(x) = 0.06>0$

Second derivative is always positive

I derivative =0 gives

$x=5/0.06 \\=83.33\\~83$

For 83 players the cost would be minimum

Minimum cost = $0.03(83)^2-5(83)+700\\=491.67$

3 0

4 years ago

Help me please again

SashulF [63]

The answer is C.
x=2
y=-30
(2;-30)

7 0

3 years ago

What’s the answer ????

anzhelika [568]

The first one is the answe<span>r.</span>

5 0

3 years ago

What is the equation of the line through (3,7) that is perpendicular to the line through points (-1,-2) and (5,3)?

Svetlanka [38]

<span>the line through points (-1,-2) and (5,3)
slope=(3-(-2))/(5-(-1))=5/6
for a perpendicular line slope =-6/5=-1.2
y=(-6/5)x+b
7=(-6/5)*3+b
7=-18/5+b
7=-36/10+b
7=-3.6+b
b=10.6
y=-1.2x+10.6</span>

7 0

4 years ago

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