Given the price-demand equation p=100−0. 01x and cost function C(x) =30x+150:
a) Find the revenue function.
b) Find the marginal revenue function and use it to estimate the change in total revenue generated by the 31st item.
c) Find the profit function P(x)
d) Use the marginal profit to estimate the change in profit from producing one more item, when 50 items are being produced.