For a particular competitive firm, the minimum value of average variable cost (avc) is $12 and is reached when 200 units of output are produced. for the same firm, the minimum value of average total cost (atc) is $15 and is reached when 230 units of output are produced. which of the following statements is correct? (a) in the short run, the firm will shut down if the price of its product is $11.(b) in the long run, the firm will shut down if the price of its product is $14.(c) if the price of its product is $12, then the firm's loss if it produces 200 units of output is the same as its loss if it shuts down.(d) all of the above are correct.

The vaska company buys a patent on january 1, year one, and agrees to pay $100,000 per year for the next five years. the first payment is made immediately, and the payments are made on each january 1 thereafter. if a reasonable annual interest rate is 8 percent, what is the recorded value of the patent? 1. $378,4252. $431,2133. $468,9504. $500,000

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.

On january 1, 2017, sophie's sunlounge owned 4 tanning beds valued at $20,000. during 2017, sophie's bought 3 new beds at a total cost of $14 comma 000, and at the end of the year the market value of all of sophie's beds was $24 comma 000. what was sophie's net investment