David hilbert (1862–1943) envisioned a hotel with countably infinitely many rooms, all of which are occupied. what should the management (who always want to ) do if (a) a new guest arrives; (b) countably infinitely new guests arrive; (c) countably infinitely many buses arrive each carrying countably infinitely many new guests.

At april 1, 2019, the food and drug administration is in the process of investigating allegations of false marketing claims by hulkly muscle supplements. the fda has not yet proposed a penalty assessment. hulkly’s fiscal year ends on december 31, 2018. the company’s financial statements are issued in april 2019. required: for each of the following scenarios, determine the appropriate way to report the situation. 1. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 2. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is probable. 3. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 4. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is probable.

Newton industries is considering a project and has developed the following estimates: unit sales = 4,800, price per unit = $67, variable cost per unit = $42, annual fixed costs = $11,900. the depreciation is $14,700 a year and the tax rate is 34 percent. what effect would an increase of $1 in the selling price have on the operating cash flow?

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?