On a sunny day,the daily profit, P dollars,of a popcorn vendor is modelled by the equation P= -60(x-4)^2 +120 where x is the price of a bag of popcorn. a) What should the price be to maximize daily profit ? b) What is the maximum amount of daily profit ?
Need steps, Thanks :) On a sunny day,the daily profit, P dollars,of a popcorn vendor is modelled by the equation P= -60(x-4)^2 +120 where x is the price of a bag of popcorn. a) What should the price be to maximize daily profit ? b) What is the maximum amount of daily profit ?
Need steps, Thanks :) @Mathematics

Question

anonymous · Answer

The maximum occurs at the vertex (4, 120). You can find this because the parabola opens down and the equation is in vertex form already. Therefor the price should be $4 and the max profit is $120.