The following information relates to a company which produces a single product:

a) Write down the formula for revenue R(x) for selling x units of the product, expressed in dollars.

b) Write down a formula for the total costs C(x) of producing x units of the product, expressed in dollars.

c) Given that profit = revenue - cost, write down a formula in a simplest form which gives the profit P when x units of the product are sold.

d) What minimum number of the product must be sold in order to make a profit?

Costs/Price Dollars Fixed costs 100 000 2000 Variable costs per unit of the product 5 000 Selling price per unit of the product