Calculus, Optimization, Mathematics.
producing x items can be represented as the function C(x) = 50 + 5x. What is the level of production that maximizes the profit? Let P(x) represent the profit function of the commodity. P(x) = xQ(x) — C(x). Now, plugging in the values for these functions we get P(x) = x(10−0.001x)−(50+5x) = 5x −