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 =

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Eliminating entries (including goodwill impairment) and worksheets for various years on january 1, 2013, porter company purchased an 80% interest in the capital stock of salem company for$850,000. at that time, salem company had capital stock of $550,000 and retained earnings of $80,000.differences between the fair value and the book value of the identifiable assets of salem company were asfollows: fair value in excess of book valueequipment$130,000land65,000inventory40,000the book values of all other assets and liabilities of salem company were equal to their fair values onjanuary 1, 2013. the equipment had a remaining life of five years on january 1, 2013. the inventory was sold in2013.salem company’s net income and dividends declared in 2013 and 2014 were as follows: year 2013 net income of $100,000; dividends declared of $25,000year 2014 net income of $110,000; dividends declared of $35,000required: a.prepare a computation and allocation schedule for the difference between book value of equity acquired andthe value implied by the purchase price.b.present the eliminating/adjusting entries needed on the consolidated worksheet for the year endeddecember 31, 2013. (it is not necessary to prepare the worksheet.)lo6lo1

Explain the relationship between consumers and producers in economic growth and activity