According to a survey of rapid growth firms conducted by the Small Business & Entrepreneurship Council and the Financial Services Roundtable, percent of all U. S. exports are accounted for by small businesses.

You and your new australian bride matilda, are applying for a loan and are required to submit a balance sheet with your net worth. you own a 2008 toyota camry that you bought last month for $9,995. the kelly blue book value for this car is $13,995. you owe $8,150 on the car loan for the camry. you pay off your visa credit card every month and have not paid any credit card interest this year. the current visa credit card balance is $3,522, and the next statement is due in 15 days. you have a student loan balance of $6,500. you presently have $425 in your checking account and $1,540 in your savings account. you own 100 shares of ibm stock that you purchased for $85.50 per share. one share of ibm is now selling for $158.42. you own computers and other electronics that you purchased for $4,100 but could probably sell today on e-bay for $1,800. your gross income is $80,000 per year. what is your current net worth? (see wb ch. 2 example 2.3)

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.

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