econ 301 assignment 6

1) Two large diversified consumer products firms are about to enter the market for a new pain reliever. The two firms are very similar in terms of their costs, strategic approach, and market outlook. Moreover, the firms have very similar individual demand curves so that each firm expects to sell one-half of the total market output at any given price. The market demand curve for the pain reliever is given as: Q = 2600 - 400P. Both firms have constant long-run average costs of $2.00 per bottle. Patent protection insures that the two firms will operate as a duopoly for the foreseeable future. Price and quantity values are stated in perbottle terms. If the firms act as Cournot duopolists, solve for the firm and market outputs and equilibrium prices.

2) Hale's One Stop and Auto Service competes with Murray's Gas Mart. The local demand is:

Qd=2510PP=2.500.1Qd

Both firms sell exactly the same quality of gasoline. Thus, if the firms charge a different price, the lower price firm will capture the entire market share. If the firms charge the same price, they will split the market share. The marginal cost functions are both constant at $1.25. If the firms compete by setting price, what is the market output level? What is the market price level?