Some economists believe that the U. S. economy as a whole can be modeled with the following production function, called the Cobb-Douglas production function: where Y is the amount of output, K is the amount of capital, L is the amount of labor, and A is a parameter that measures the state of technology For this production function, the marginal product of labor is: Suppose that the price of output (P) is $2, A is 3, K is 2,985,984, and L is 1,728. The labor market is competitive, so labor is paid the value of its marginal product. The amount of output produced (Y) is ,and the dollar value of output (PY) is$ The wage (W) is S , and the real wage ) is .

Alocal club is selling christmas trees and deciding how many to stock for the month of december. if demand is normally distributed with a mean of 100 and standard deviation of 20, trees have no salvage value at the end of the month, trees cost $20, and trees sell for $50 what is the service level?

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.

Which of the following statements about brand names is true? brand names give the seller an incentive to provide consistently high-quality products and services in order to protect the reputation of the brand. brand names are always economically wasteful since they dupe consumers into buying more expensive goods and services that are no different from generic versions. it is always rational to prefer brand names over generic substitutes. read the following example and determine whether it illustrates a common critique or defense of advertising. musashi sees a commercial for a brand x clothing company that depicts the wearers of the clothes out having a good time with friends. although he doesn't particularly need new clothes, the commercial prompts him to buy a brand x t-shirt.