An aerodynamic three-wheeled automobile (the Dart) runs on compressed natural gas stored in two cylinders in the rear of the vehicle. The $15 comma 00015,000 Dart can cruise at speeds up to 7070 miles per hour, and it can travel 9595 miles per gallon of fuel. Another two-seater automobile costs $12 comma 00012,000 and averages 4545 miles per gallon of compressed natural gas. If fuel costs $8.508.50 per gallon and MARR is 1212% per year, over what range of annual miles driven is the Dart more economical? Assume a useful life of sevenseven years for both cars.

Which of the following statements is correct? large corporations are taxed more favorably than sole proprietorships. corporate stockholders are exposed to unlimited liability. due to limited liability, unlimited lives, and ease of ownership transfer, the vast majority of u. s. businesses (in terms of number of businesses) are organized as corporations. most businesses (by number and total dollar sales) are organized as partnerships or proprietorships because it is easier to set up and operate in one of these forms rather than as a corporation. however, if the business gets very large, it becomes advantageous to convert to a corporation, mainly because corporations have important tax advantages over proprietorships and partnerships. most business (measured by dollar sales) is conducted by corporations in spite of large corporations’ often less favorable tax treatment, due to legal considerations related to ownership transfers and limited liability.

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?

Retirement investment advisors, inc., has just offered you an annual interest rate of 4.4 percent until you retire in 40 years. you believe that interest rates will increase over the next year and you would be offered 5 percent per year one year from today. if you plan to deposit $13,000 into the account either this year or next year, how much more will you have when you retire if you wait one year to make your deposit?