The total cost of producing a type of car is given by c(x)=12000−40x+0.04x2, where x is the number of cars produced. how many cars should be produced to incur minimum cost?

Step-by-step explanation:

C'(x)=-40+0.08 x

C'(x)=0 gives

-40+0.08 x=0

x=40/0.08=500

C"(x)=0.08>0 at x=500

so C(x) is  minimum if x=500

so 500 cars need to be produced for minimum cost.

or we can solve by completing the squares.

c(x)=12000+0.04(x²-1000 x+250000-250000)

=12000+0.04(x-500)²-0.04×250000

=0.04 (x-500)²+12000-10000

=0.04(x-500)²+2000

c(x) is minimum if x=500

wheres graph

step-by-step explanation:

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2