Aconsumer's preferences are given by the following leontief utility function: u(x, y) = min[1x, 2y] since leontief utility functions are shaped like right angles they are not differentiable. the marginal rate of substitution can take one of two possible values. what are they? (separate your two answers with a comma) suppose for a particular bundle, mu_y = 2. then mu_x = and mrs_xy =

The 39 percent and 38 percent tax rates both represent what is called a tax "bubble." suppose the government wanted to lower the upper threshold of the 39 percent marginal tax bracket from $335,000 to $208,000. what would the new 39 percent bubble rate have to be? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places,e.g., 32.16.)

Suppose portugal has 700 workers and 26,000 units of capital, and france has 18,000 workers and 700 units of capital. technology is identical in both countries. assume that wine is the capital-intensive good and cloth is the labor-intensive good. which of the following statements is correct if the nations start trading with each other? a) wages will increase in portugal.b) rental rates in france will increase.c) wages in france will decrease.d) rental rates in portugal will increase.

German brothels recently began offering a monthly subscription service for multiple purchasers. if you thought that the brothels' encouragement of prostitution was immoral to begin with, would you consider this pricing plan to be even more immoral? suppose a particular patron at a german brothel has the following willingness-to-pay schedule for services at the brothel, per session. session willingness to pay 1st $84 2nd $72 3rd $60 4th $48 5th $36 6th $24 suppose this consumer would not demand any more sessions, even for free. also assume that the marginal cost to the brothel, per session, is constant at $12. at a price of $78.00 per session, the number of sessions demanded by this consumer would be . at this price and quantity, consumer surplus is $ and producer surplus is $ . suppose the brothel has devised a new pricing scheme for consumers who demand more than 1 session. this pricing scheme is a subscription service, whereby consumers can pay a flat fee of $259.20 and can have up to 6 sessions total. using this subscription pricing model, this consumer would demand sessions. under this scenario, consumer surplus is $ and producer surplus is $ . (hint: for consumer surplus, consider how much total value the consumer places on all sessions, versus the total price paid.)