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Unformatted text preview: NATIONAL UNIVERSITY OF SINGAPORE Department of Mathematics MA3252 Linear and Network Optimization Tutorial 1 1. A small bank is allocating a maximum of $30,000 for personal and car loans during the next month. The bank charges an annual interest rate of 14% for personal loans and 12% for car loans. Both types of loans are repaid at the end of a oneyear period. The amount of car loans should be at least twice as much as that of personal loans. Past experience shows that about 3% of personal loans and 2% of car loans are never paid. Formulate the problem of determining the allocation of the funds to maximize the net return for the bank as a linear programming model. Solve the problem graphically. 2. A company produces and sells two different products. The demand for each prod uct is unlimited but the company is constrained by cash availability and machine capacity. Each unit of the first and second product need 3 and 4 machine hours respectively. There are 20,000 machine hours available in the current productionrespectively....
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 Spring '10
 TanBanPin
 Math

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