Not really familiar with the formulas relating demand function, cost functions and profit, but here is an example of your question.
http://math.stackexchange.com/questions/758620/maximized-profit-w-a-cost-demand-function
If the demand function of the monopolist is {p=200-0.5x} and its cost function is {C=100+5x+7x^2}. Value of 'x' , price and the amount of profit for which profit maximizes are:
3 answers
thanks
profit = revenue - cost
revenue = price * demand
P(x) = x(200-0.5x) - (100+5x+7x^2)
= -7.5x^2 + 195x - 100
Now just find the vertex of that parabola.
revenue = price * demand
P(x) = x(200-0.5x) - (100+5x+7x^2)
= -7.5x^2 + 195x - 100
Now just find the vertex of that parabola.