A zero-investment portfolio with a positive alpha could arise if: a. The expected return of the portfolio equals zero. b. The capital market line is tangent to the opportunity set. c. The Law of One Price remains unviolated. d. A risk-free arbitrage opportunity exists.

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?

Kirnon clinic uses client-visits as its measure of activity. during july, the clinic budgeted for 3,250 client-visits, but its actual level of activity was 3,160 client-visits. the clinic has provided the following data concerning the formulas to be used in its budgeting: fixed element per month variable element per client-visitrevenue - $ 39.10personnel expenses $ 35,100 $ 10.30medical supplies 1,100 7.10occupancy expenses 8,100 1.10administrative expenses 5,100 0.20total expenses $ 49,400 $ 18.70the activity variance for net operating income in july would be closest to:

You are given the following information about aggregate demand at the existing price level for an economy: (1) consumption = $400 billion, (2) investment = $40 billion, (3) government purchases = $90 billion, and (4) net export = $25 billion. if the full-employment level of gdp for this economy is $600 billion, then what combination of actions would be most consistent with closing the gdp gap here?