ABC Sports, a store that sells various types of sports clothing and other sports items, is planning to introduce a new design of Arizona Diamondbacks’ baseball caps. A consultant has estimated the demand curve to be Q = 2,000 - 100P where Q is cap sales and P is price.

a. How many caps could ABC sell at $6 each?

b. How much would the price have to be to sell 1,800 caps?

c. Suppose ABC were to use the caps as a promotion. How many caps could ABC give away free?

d. At what price would no caps be sold?

e. Calculate the point price elasticity of demand at a price of $6.