A famous appliances manufacturer Brivelle produces, and sells, x toasters each month, with each toaster retailing at 65 − 0.01x dollars. The cost of producing x toasters is given by the formula 300 + 20x, in dollars.
(a) What is the largest amount of toasters that can be produced, before the price per toaster becomes negative?
(b) How much revenue will Brivelle generate in selling x toasters? (Revenue: the amount of cash in, without counting expenses.) Write a formula as in R(x) = . . .

Question

A famous appliances manufacturer Brivelle produces, and sells, x toasters each month, with each toaster retailing at 65 − 0.01x dollars. The cost of producing x toasters is given by the formula 300 + 20x, in dollars. 
(a)  What is the largest amount of toasters that can be produced, before the price per toaster becomes negative? 
(b)  How much revenue will Brivelle generate in selling x toasters? (Revenue: the amount of cash in, without counting expenses.) Write a formula as in R(x) = . . .

anonymous · Answer

(c)  How much profit can Brivelle generate in selling x toasters? (Profit: Revenue minus cost.) Write a formula as in P(x) = ... 
(d)  How many toasters should Brivelle produce each month, in order to maximise profit? What will the maximum profit in that case? What will the price of each toaster be in that case?

anonymous · Answer

I know its a hard one but any help would be appreciated