The cost function for a product is C(x)=0.8x^2 +120x+110. How to find average cost over [0,600] ?

Question

.

9954 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-05T20:24:27

#C_(avg)=barC=1/600int_0^600C(x)dx=132110#

The average cost over this interval may be given by

#C_(avg)=1/(600-0)int_0^600C(x)dx#

#=1/600int_0^600 (0.8x^2+120x+110)dx#

#=1/600 [ (0.8x^3)/3+(120x^2)/2+110x]_0^600#

#=1/600[57600000+21600000+66000-0]#

#=132110#.