Rachel's Designs has 1,800 shares of 6%, $50 par value cumulative preferred stock issued at the beginning of 2019. All remaining shares are common stock. Due to cash flow difficulties, the company was not able to pay dividends in 2019 or 2020. The company plans to pay total dividends of $18,000 in 2021. How much of the $18,000 dividend will be paid to preferred stockholders and how much will be paid to common stockholders

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?