The marginal revenue from selling $x$ units is $MR = 30 - 2x$ rupees. What is the total revenue function, given no revenue from no sales?

Explanation

1. 01

   $R(x) = \int (30 - 2x)\,dx = 30x - x^{2} + k$.

2. 02

   No sales bring no revenue, so $k = 0$: $R(x) = 30x - x^{2}$.