Henry hacker, a professional golfer who was having trouble with his driver, decided to skip the next two tournaments on the pga to work with his swing coach. he paid his coach $1,000 and used $1,000 worth of golf balls. as a result, his driving must have improved considerably because he now hits his tee shots longer and straighter. what type of cost are the earnings foregone by skipping the two tournaments on the pga tour

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

You have learned that there are many ethical concerns surrounding genetic research, and it's important to be familiar with them. for this project, you will write a persuasive essay about an ethical question in biotechnology. directions the goal of a persuasive essay is to convince people to agree with you. it is important to support your opinion with facts. a persuasive essay is not simply a description of your beliefs. be sure to organize your information, give clear examples, and build your argument carefully. read the following genetics topics below. choose a topic and then decide what side you are on. remember that there is no "right" or "wrong" side. ethical questions often have many points of view. research your topic and write a 400 word persuasive essay. topic 1: should insurance companies have the right to learn the genetic profiles of the people they insure? topic 2: should employers have the right to learn the genetic profiles of the people they hire? are there special considerations for employees in jobs in which there is a high risk to others, such as airline pilots, doctors, or bus drivers? topic 3: should scientists who identify genes and create new genetic engineering techniques have the right to patent their methods for their own profit?