12. When the government levies a tax on a good equal to the external cost associated with the good’s production, it the price paid by consumers and makes the market outcome efficient.

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

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?

Carlton industries is considering a new project that they plan to price at $74.00 per unit. the variable costs are estimated at $39.22 per unit and total fixed costs are estimated at $12,085. the initial investment required is $8,000 and the project has an estimated life of 4 years. the firm requires a return of 8 percent. ignore the effect of taxes. what is the degree of operating leverage at the financial break-even level of output?