The profit that the vendor makes per day by selling x pretzels is given by the function Find the number of pretzels that must be sold to maximize profit.

Answer 1

P(x) = R(x) - C(x)

take derivatives and set = 0, then solve for x = profit maximizing output level

P' = R' - C' = 0

for example if R =30x and C=x^2 then

30-2x = 0

and x = 15