A company produces x bottles of beer.the profit from sales P(x)is given by the function P(x)=96x-6x²-234,find the maximum profit and the number of bottles that must be sold to realize that profit?

Question

383 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-11T12:17:59

To have maximum profit of #150# currency #8# bottles
of bear must be sold.

#P(x) = -6x^2 +96x -234 # or

#P(x) = -6(x^2 -16x ) -234 # or

#P(x) = -6(x^2 -16x +64)+(6*64) -234 # or

#P(x) = -6(x-8)^2 +150 # ; A square is #>=0#. So in order

to have maximum #P(x) ; (x-8)=0 or x=8#

Hence maximum profit is #P(x) =150# when #x=8#

To have maximum profit of #150# currency #8# bottles

of bear must be sold [Ans]