Medical accounts collection enters into a contract to employ natalie as a billing and credit manager for two years. during the first year, natalie is often absent without explanation and when present fails to adequately do her job.

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.

Neon light company of kansas city ships lamps and lighting appliances throughout the country. ms. neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by one and one-half days. furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. the bank has a remote disbursement center in florida. a. if neon light company has $2.90 million per day in collections and $1.18 million per day in disbursements, how many dollars will the cash management system free up?

Ummit record company is negotiating with two banks for a $157,000 loan. fidelity bank requires a compensating balance of 24 percent, discounts the loan, and wants to be paid back in four quarterly payments. southwest bank requires a compensating balance of 12 percent, does not discount the loan, but wants to be paid back in 12 monthly installments. the stated rate for both banks is 9 percent. compensating balances will be subtracted from the $157,000 in determining the available funds in part a. a-1. calculate the effective interest rate for fidelity bank and southwest bank. (do not round intermediate calculations. input your answers as a percent rounded to 2 decimal places.) a-2. which loan should summit accept? southwest bank fidelity bank b. recompute the effective cost of interest, assuming that summit ordinarily maintains $37,680 at each bank in deposits that will serve as compensating balances