At the start of the current year, sbc corp. purchased 30% of sky tech inc. for $45 million. at the time of purchase, the carrying value of sky tech's net assets was $75 million. the fair value of sky tech's depreciable assets was $15 million in excess of their book value. for this year, sky tech reported a net income of $75 million and declared and paid $15 million in dividends. the total amount of additional depreciation to be recognized by sbc over the remaining life of the assets is:

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?