4. Lab Week 4 Problem Solutions

# 4. Lab Week 4 Problem Solutions - Lab Week 4 Problem...

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Lab Week 4 Problem Solutions CHAPTER 4 APPLICATIONS OF LINEAR PROGRAMMING PROBLEMS 25. X A = number of enterprises in tier A selected for investment X B = number of enterprises in tier B selected for investment S 1 = funds placed in saving account at the beginning of year 1 S 2 = funds placed in saving account at the beginning of year 2 S 3 = funds placed in saving account at the beginning of year 3 L 1 = funds received from loan at the beginning of year 1 L 2 = funds received from loan at the beginning of year 2 L 3 = funds received from loan at the beginning of year 3 Maximize Z = 1.05S 3 + [(0.09)*\$30,000 X A ]*0.85 + [(0.15)*\$15,000 X B ]*0.7 - 1.15L 3 Subject to year 1: 400,000 + L 1 = 75,000X A +50,000X B + S 1 year 2: 1.05 S 1 +( 0.18)*(0.85)*75000X A + (0.25)*(0.7)*50,000 X B +300,000+ L 2 = 50,000X A +25,000X B + 1.15 L 1 + S 2 year 3: 1.05 S 2 + 0.12*0.85*50,000X A + 0.2*0.7*25,000 X B + L 3 = 30,000X A +15,000X B + 1.15 L 2 + S 3 L 1 <= 50,000 L 2 <= 50,000 L 3 <= 50,000 X A , X B , S 1 , S 2 , S 3 , L 1 , L 2 , L 3 >=0

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4. Lab Week 4 Problem Solutions - Lab Week 4 Problem...

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