Question: Given the non-linear demand schedule p = 600 - 6q0.5 and the corresponding marginal revenue function MR = 600 - 9q0.5, use definite integrals to find:
(a) total revenue when q is 2,500;
(b) the change in total revenue when q increases from 2,025 to 2,500;
(c) consumer surplus when q is 2,500 and price is £300;
(d) the change in consumer surplus when q increases from 2,025 to 2,500 owing to a price fall from £330 to £300.