Concord company produces and sells automobile batteries, the heavy-duty hd-240. the 2017 sales forecast is as follows. quarter hd-240 1 5,400 2 7,160 3 8,460 4 10,460 the january 1, 2017, inventory of hd-240 is 2,160 units. management desires an ending inventory each quarter equal to 40% of the next quarter’s sales. sales in the first quarter of 2018 are expected to be 25% higher than sales in the same quarter in 2017. prepare quarterly production budgets for each quarter and in total for 2017.

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?