The demand for a certain product is represented by the function $p = 150+10x - x^2$ (in Rs.) where $x$ is the number of units demanded and $p$ is the price per unit, then the value of marginal revenue, when 10 units are sold, is |
Rs.50 Rs.100 Rs.150 Rs.200 |
Rs.50 |
The correct answer is Option (1) → Rs.50 ** Demand function: $p=150+10x - x^2$. Total revenue: $R = px = x(150+10x - x^2)=150x+10x^2 - x^3$. Marginal revenue $=\frac{dR}{dx}$. $\frac{dR}{dx}=150+20x - 3x^2$. At $x=10$: $MR = 150 + 20(10) - 3(10)^2$ $MR = 150 + 200 - 300 = 50$ Marginal revenue = 50 |