Question

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:

Answer 1

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

Answer 2

thanks

Answer 3

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.