it costs 8 dollars to manufacture and distribute a backpack.If the backpack sell at x dollar each, the number sold , n, is given by n= 3/(x-8)+5(100-x) . Find the selling price that will maximize the profit.

Answer 1

profit=n(x-8)

Profit= 3/(x-8)+5(100-x) * (x-8)
= 3+5(100-x)(x-8)

dProfit/dx=0= 500 (x-8)+5(100-x)

0=500x-5x-4000+500 check that.

x= 3500/495 check all that, I did it in my head.