# hw4 - IEOR 162 LINEAR PROGRAMMING FALL 04 HOMEWORK 4...

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IEOR 162 LINEAR PROGRAMMING FALL 04 HOMEWORK 4 SOLUTIONS 3.5.2. Let x 1 = employees starting at midnight x 2 = employees starting at 4 AM x 3 = employees starting at 8 AM x 4 = employees starting at noon x 5 = employees starting at 4 PM x 6 = employees starting at 8 PM Then a correct formulation is min z = x 1 + x 2 + x 3 + x 4 + x 5 + x 6 s.t. x 1 + x 6 8 x 1 + x 2 7 x 2 + x 3 6 x 3 + x 4 6 x 4 + x 5 5 x 5 + x 6 4 x 1 , x 2 , x 3 , x 4 , x 5 , x 6 0 3.8.5. We assume the following order of events ensues each month. a. Short-term loan and interest on short and long-term loans are paid. We assume first interest payments on the January short- term and long-term loan are made at beginning of February. b. New short-term loan (or Long-term Loan) is received c. Month's cash flow is accounted for d. Interest on balance is received All variables are in thousands of dollars Let Bt = Month t balance after month t's cash flow is accounted for. t =1, 2, . ..,12 LT = Long-term Loan

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hw4 - IEOR 162 LINEAR PROGRAMMING FALL 04 HOMEWORK 4...

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