Marginal revenue is A. the change in profit divided by the change in the quantity of output. B. the change in total revenue divided by the change in the quantity of output. C. total revenue divided by the total quantity of output. D. the change in total revenue divided by the change in total cost.

Which of the following statements is correct? a. two firms with identical sales and operating costs but with different amounts of debt and tax rates will have different operating incomes by definition. b. free cash flow (fcf) is, essentially, the cash flow that is available for interest and dividends after the company has made the investments in current and fixed assets that are necessary to sustain ongoing operations. c. retained earnings as reported on the balance sheet represent cash and, therefore, are available to distribute to stockholders as dividends or any other required cash payments to creditors and suppliers. d. if a firm is reporting its income in accordance with generally accepted accounting principles, then its net income as reported on the income statement should be equal to its free cash flow. e. after-tax operating income is calculated as ebit(1 - t) + depreciation.

Bill dukes has $100,000 invested in a 2-stock portfolio. $62,500 is invested in stock x and the remainder is invested in stock y. x's beta is 1.50 and y's beta is 0.70. what is the portfolio's beta? do not round your intermediate calculations. round the final answer to 2 decimal places.

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?