∫ R x dx k k = x + k When no product is sold, revenue = i.e. When x Revenue R ( x ) = x ( ) XII Std - Business Maths & Stat EM Chapter - - Integral Calculus – II Profit P = Total Revenue – Total cost = dp = − x To get profit maximum, dp = ⇒ x = . d P = −< ∴ Profit is maximum when x = and Maximum Profit is P = ) − ( ) − – – Profit , . Example .
The marginal cost and marginal revenue with respect to commodity of a firm are given by