At the end of business on June 30, 2009, the Wooly Rug Company had 100,000 square yards of rugs and 400,000 pounds of raw materials on hand. Budgeted sales for the third quarter of 2009 are Month Sales
July 220,000 sq. yards
August 160,000 sq. yards
September 150,000 sq. yards
October 160,000 sq. yards

The Wooly Rug Company wants to have sufficient square yards of finished product on hand at the end of each month to meet 40 percent of the following month's budgeted sales and sufficient pounds of raw materials to meet 30 percent of the following month's production requirements. Five pounds of raw materials are required to produce one square yard of carpeting.

Required:
Prepare a production budget for the months of July, August, and September and a purchases budget in units for the months of July and August.

1. consider a two-firm industry. firm 1 (the incumbent) chooses a level of output qı. firm 2 (the potential entrant) observes qı and then chooses its level of output q2. the demand for the product is p 100 q, where q is the total output sold by the two firms which equals qi +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of qi and q2 keeping in mind that firm 1 chooses qi first and firm 2 observes qi and chooses its q2. find the profits of the two firms-n1 and t2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of qi would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of qi? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f> 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q, denoted by q1', a expression for firm l's profit, when entry is deterred, as a function of f. for what values of f would firm 1 use an entry deterring strategy?