Chapter 9
| 1. | min. P 1 d 1 , P 2 d 2 , P 3 d 1 + , P 4 d 3 + , s.t. 5 x 1 + 2 x 2 + 4 x 3 + d 1 - d 1 + = 240, 3 x 1 + 5 x 2 + - x 3 + d 2 - d 2 + = 500, 4 x 1 + 6 x 2 + 3 x 3 + d 3 - d 3 + = 400 |
| 3. | min. P 1 d 1 , P 2 d 2 , P 3 d 3 + , 3 P 4 d 4 + 6 P 4 d 5 + P 4 d 6 + 2 P 4 d 7 , s.t. 80,000 x 1 + 24,000 x 2 + 15,000 x 3 + 40,000 x 4 + d 1 = 600,000, 1,500 x 1 + 3,000 x 2 + 500 x 3 + 1,000 x 4 + d 2 - d 2 + = 20,000, 4 x 1 + 8 x 2 + 3 x 3 + 5 x 4 + d 3 - d 3 + = 50, x 1 + d 4 - d 4 + = 7, x 2 + d 5 - d 5 + = 10, x 3 + d 6 - d 6 + = 8, x 4 + d 7 - d 7 + = 12 |
| 5. | (a) min. P 1 d 2 + , P 2 d 7 + , 4 P 3 d 4 + 2 P 3 d 5 + P 3 d 6 , P 4 d 1 , P 5 d 3 ; s.t. x 1 + x 2 + x 3 + d 1 = 2,000, 800 x 1 + 1,500 x 2 + 500 x 3 + d 2 - d 2 + = 20,000, 10 x 1 + 12 x 2 + 18 x 3 + d 3 - d 3 + = 800, x 1 + d 4 - d 4 + = 800, x 2 + d 5 - d 5 + = 900, x 3 + d 6 - d 6 + = 1,100, d 3 + + d 7 - d 7 + = 100; (b) x 1 = 25, d 1 = 1,975, d 3 = 550, d 4 = 775, d 5 = 900, d 6 = 1,100, d 7 = 650 |
| 7. | x 1 = 20, d 2 = 10, d 3 = 50 |
| 9. | x 1 = 15, d 1 + = 12, d 2 + = 10, d 4 = 6; not satisfied |
| 11. | (a) min. Z = P 1 d 1 , P 2 d 4 + , 3 P 3 d 2 + 2 P 3 d 3 , P 4 d 1 + ; s.t. x 1 + x 2 + d 1 - d 1 + = 80, x 1 + d 2 = 60, x 2 + d 3 = 35, d 1 + + d 4 d 4 + = 10; (b) x 1 = 60, x 2 = 30, d 1 + = 10, d 3 = 5 |
| 13. | (a) min. P 1 d 1 , P 2 d 2 + , P 3 d 3 , P 4 d 4 ; s.t. x 1 + d 1 - d 1 + = 30, 20 x 1 + 40 x 2 + 150 x 3 + d 2 - d 2 + = 1,200, x 2 + x 3 + d 3 - d 3 + = 20, x 3 + d 4 - d 4 + = 6; (b) x 1 = 30, x 2 = 15, d 3 = 5, d 4 = 6 |
| 15. | (b) x 1 (Sunday) = 0, x 2 (Monday) = 7, x 3 (Tuesday) = 0, x 4 (Wednesday) = 27, x 5 (Thursday) = 0, x 6 (Friday) = 25, x 7 (Saturday) = 1 |
| 17. | A = .1653, B = .3346, C = .5001 |
| 19. | Abbott = .3147, Bates = .1600, Cook = .5253 |
| 21. | Global = .2030, Blue Chip = .5060, Bond = .2910 |
| 23. | Explorer = .4542, Trooper = .2605, Passport = .2852 |
| 25. | Cheraton = .3393, Milton = .1929, Harriott = .4677 |
| 27. | Robin = .4431, Terry = .1902, Kelly = .3667 |
| 31. | MB = .3454, DB = .4570, FL = .1977 |
| 33. | DSS = .6415, OM = .3585 |
| 35. | (a) renovate = .6436, new = .3564; (b) consistent |
| 37. | Memorial = .4633, Country = .3203, General = .2163 |
| 39. | A = .2843, B = .3109, C = .4049 |
| 43. | S (1) = 77.50, S (2) = 80.80, S (3) = 82.05; site 3 |
| 45. | S (South) = 73.80, S (West A) = 74.50, S (West B) = 67.25, S (East) = 76.75; East site |
| 47. | S (C) = 76, S (E) = 75, S (D) = 74, S (B) = 70, S (A) = 69 |
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| 49. | S (Roanoke) = 84.74, S (Richmond) = 83.79, S (Greensboro) = 82.61, S (Charlotte) = 81.10, S (Bristol) = 79.02, S (Knoxville) = 76.93 |
EAN: 2147483647
Pages: 358