Augusta, inc., expects manufacturing and sales of 70,000 units of product maggie, its only product, to occur evenly over a 10-week period. augusta pays for materials in the week following use. the balance of accounts payable for materials at the beginning of the 10-week period is $40,000. there are no beginning inventories. the fol­lowing information pertains to product maggie for the 10-week period: sales price $11 per unit materials $3 per unit manufacturing conversion costs—fixed $210,000 variable $2 per unit selling and administrative costs—fixed $45,000 variable $1 per unit a special order for 4,000 units would cause a loss of 1,000 regular sales. all cost relationships are unchanged. if the special order is accepted, what minimum amount of revenue must be generated from the special order so that net income is not reduced?

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?