MathCastle
CalculusEasyContextual Applications of Differentiation

Contextual Applications of Differentiation · Easy problem

A company's revenue from selling xx units is R(x)=80xR(x)=80x dollars, and its cost is C(x)=0.5x2+20x+200C(x)=0.5x^2+20x+200 dollars, so its profit is P(x)=R(x)−C(x)P(x)=R(x)-C(x). Use the marginal profit at x=50x=50 to estimate the extra profit, in dollars, earned from making and selling the 51st unit.