January 2, 2018, Cullumber, Inc. purchased a patent for a new consumer product for $810000. At the time of purchase, the patent was valid for 15 years; however, the patent’s useful life was estimated to be only 10 years due to the competitive nature of the product. On December 31, 2021, the product was permanently withdrawn from the market under governmental order because of a potential health hazard in the product. What amount should Cullumber charge against income during 2021, assuming amortization is recorded at the end of each year?

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

An office manager is concerned with declining productivity. despite the fact that she regularly monitors her clerical staff four times each day—at 9: 00 am, 11: 00 am, 1: 00 pm, and again at 3: 00 pm—office productivity has declined 30 percent since she assumed the helm one year ago. would you recommend that the office manager invest more time monitoring the productivity of her clerical staff? explain.

Aprice ceiling is “binding” if the price ceiling is set below the equilibrium price. suppose that the equilibrium price is $5. if a price ceiling is set at $6, this will not affect the market in any way since $5 remains a legally allowable price (since $5 < $6). a price ceiling of $6 is called a “non-binding” price ceiling. on the other hand, if the price ceiling is set at $4, the price ceiling is “binding” because the natural equilibrium price is $5 but that is no longer allowed. what happens when there is a binding price ceiling? at a price below the equilibrium price, quantity demanded exceeds quantity supplied. there is a shortage. normally, price increases eliminate shortages by increasing quantity supplied and decreasing quantity demanded. in this case, however, price increases are not allowed past the price ceiling. we therefore predict that the observed market price will be right at the price ceiling and there will be a permanent shortage. the observed quantity bought and sold will be dictated by the quantity supplied at the price ceiling. although consumers would like to buy more, there are no more units for sale