Livingston Fabrication has created the following aggregate plan for the next five months: August September October November December Forecasted Demand (units of finished goods): 1,500,000 1,500,000 2,000,000 3,000,000 500,000 Production Plan: 2,000,000 2,000,000 2,000,000 2,000,000 2,000,000 Assume that Livingston will have nothing in inventory at the end of July. Livingston employs 1,000 production assembly workers and it takes one production assembly worker 5 minutes to assemble one unit of finished good. (The unit is complete at that point.) Each production assembly worker can provide 150 hours of assembly time a month without requiring overtime pay. Which of the following months will have the highest average inventory level?

a. November
b. December
c. October
d. September
e. August

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?