Cost function C(x) = 3500 + 10x \ \

Demand ( Price ) function p(x) = 40 - (1/1500)x \ \

Revenue equation r(x) = Price function * Number of units \ \

\ \

\ \

Profit equation = Profit function s(x) = Revenue function - Cost Function

s(x) = r(x) - c(x) \ \

To calculate profit \ \

Substitute x = 2250 \ \

Profit at x=2250

Marginal profit :

\

Marginal profit is the derivative (slope )of the profit function. \ \

so take the derivative of p(x) and evaluate it at x = 2250

Apply derivative \ \

Substitute x = 2250

Solution :

Revenue equation

Profit at 2250 units is 

The marginal profit when 2250 units are produced is 48490 dollars