In the long-run the inputs of all the factors of production can be varied by the firm, consequently, firms can combine the factors of production more and, therefore, costs in the long-run are lower than in the short-run.

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.

You are the manager of the packaging department in a cookie factory. (obviously, the packaging employees cannot eat the cookies that are transferred in during the period.) after your employees insert cookies into colorful packages (step 1) for display on store shelves, the packages of cookies are then boxed using cardboard cartons (step 2) for shipment to stores. each unit of product is represented by a carton of packaged cookies. the packaging department began the period with 1,000 units of cookies. during the period, 5,000 units of cookies were transferred in from the baking department and 5,500 units of cookies were transferred out to the finished goods department. the number of units of cookies in the ending inventory of the packaging department equals:

In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?