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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.120.03farm.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.

Match the given situations to the type of risks that a business may face while taking credit. 1. beta ltd. had taken a loan from a bank for a period of 15 years, but its sales are gradually showing a decline. 2. alpha ltd. has taken a loan for increasing its production and sales, but it has not conducted any research before making this decision. 3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession. 4. delphi ltd. has taken a short-term loan from the bank, but its supply chain logistics are not in place. a. foreign exchange risk b. operational risk c. term of loan risk d. revenue projections risk

At cooly cola, we are testing the appeal of our new diet one cola. in a taste test of 250 randomly chosen cola drinkers, 200 consumers preferred diet one cola to the leading brand. assuming that the sample were large enough, the large-sample 95% confidence interval for the population proportion of cola drinkers that prefer diet one cola would be: