[Page 784 ( continued )] ** 13. ** ** 1. ** | St. LouisChicago = 250, RichmondChicago = 50, RichmondAtlanta = 350, Z = 24,000 | ** 3. ** | A3 = 100, B1 = 135, B2 = 45, C2 = 130, C3 = 70, Z = 2,350 | ** 5. ** | x _{ 11 } = 70, x _{ 13 } = 20, x _{ 22 } = 10, x _{ 23 } = 20, x _{ 32 } = 100, Z = 1,240 | ** 7. ** | min. Z = 14 x _{ A 1 } + 9 x _{ A 2 } + 16 x _{ A 3 } + 18 x _{ A 4 } + 11 x _{ b 1 } + 8 x _{ b 2 } + 100 x _{ b 3 } + 16 x _{ B 4 } + 16 x _{ C 1 } + 12 x _{ C 2 } + 10 x _{ C 3 } + 22 x _{ C 4 } ; s.t. x _{ A 1 } + x _{ A 2 } + x _{ A 3 } + x _{ A 4 } 150, x _{ b 1 } + x _{ b 2 } + x _{ b 3 } + x _{ B 4 } 210, x _{ C 1 } + x _{ C 2 } + x _{ C 3 } + x _{ C 4 } 320, x _{ A 1 } + x _{ b 1 } + x _{ C 1 } = 130, x _{ A 2 } + x _{ b 2 } + x _{ C 2 } = 70, x _{ A 3 } + x _{ b 3 } + x _{ C 3 } = 180, x _{ A 4 } + x _{ B 4 } + x _{ C 4 } = 240, x _{ ij } 0; x _{ A 2 } = 70, x _{ A 4 } = 80, x _{ b 1 } = 50, x _{ B 4 } = 160, x _{ C 1 } = 80, x _{ C 3 } = 180, Z = 8,260 | ** 9. ** | A3 = 90, B1 = 30, B3 = 20, C2 = 80, D1 = 40, D2 = 20, Z = 1,590 | ** 11. ** | 1C = 5, 2C = 10, 3B = 20, 4A = 10, Z = $195; min. Z = 7 x _{ 1 A } + 8 x _{ 1 B } + 5 x _{ 1 C } + 6 x _{ 2 A } + 100 x _{ 2 B } + 6 x _{ 2 C } + 10 x _{ 3 A } + 4 x _{ 3 B } + 5 x _{ 3 C } + 3 x _{ 4 A } + 9 x _{ 4 B } + 100 x _{ 4 C } ; s.t. x _{ 1 A } + x _{ 1 B } + x _{ 1 C } 5, x _{ 2 A } + x _{ 2 B } + x _{ 2 C } 25, x _{ 3 A } + x _{ 3 B } + x _{ 3 C } 20, x _{ 4 A } + x _{ 4 B } + x _{ 4 C } 25, x _{ 1 A } + x _{ 2 A } + x _{ 3 A } + x _{ 4 A } = 10, x _{ 1 B } + x _{ 2 B } + x _{ 3 B } + x _{ 4 B } = 20, x _{ 1 C } + x _{ 2 C } + x _{ 3 C } + x _{ 4 C } = 15, x _{ ij } | A2 = 1,800, A4 = 950, A6 = 750, B1 = 1,600, B3 = 1,500, B5 = 1,250, B6 = 650, Z = 3,292.50 | ** 15. ** | 1B = 250, 1D = 170, 2A = 520, 2C = 90, 3C = 130, 3D = 210, Z = 21,930 | ** 17. ** | 1B = 250, 1D = 170, 2A = 520, 2C = 90, 3C = 130, 3D = 210, 4C = 180, Z = $26,430; transportation cost = $21,930, shortage cost = $4,500 | ** 19. ** | 1B = 60, 2A = 45, 2B = 25, 2C = 35, 3B = 5, Z = 1,605 | ** 21. ** | NA = 250, SB = 300, SC = 40, EA = 150, EC = 160, WD = 210, CB = 100, CD = 190, Z = 20,700 (multiple optimal) | ** 23. ** | A3 = 8, A4 = 18, B3 = 13, B5 = 27, D3 = 5, D6 = 35, E1 = 25, E2 = 15, E3 = 4, Z = 1,528 (multiple optimal) | ** 25. ** | 17 cases from Albany; $51 | ** 27. ** | 1C = 2, 1E = 5, 2C = 10, 3E = 5, 4D = 8, 5A = 9, 6B = 6, Z = 1,275 hr. | ** 29. ** | R _{ J } Jan = 300, O _{ J } Jan = 110, R _{ F } FEB = 300, O _{ F } Feb = 20, O _{ F } March = 120, R _{ M } March = 180, R _{ M } April = 120, O _{ M } March = 200, R _{ A } April = 300, O _{ A } April = 200, R _{ M } May = 300, O _{ M } May = 130, R _{ J } June = 300, O _{ J } June = 80, Z = 3,010,040 | ** 31. ** | Increasing supply at Sacramento, Jacksonville, and Ocala has little effect; increasing supply at San Antonio and Montgomery reduces cost to $242,500 | ** 33. ** | Total cost = $1,198,500 | ** 35. ** | x _{ 14 } = 42, x _{ 15 } = 13, x _{ 26 } = 63, x _{ 35 } = 37, x _{ 48 } = 42, x _{ 59 } = 50, x _{ 67 } = 60, x _{ 68 } = 3, Z = 77,362 | ** 37. ** | (a) x _{ 14 } = 72, x _{ 25 } = 105, x _{ 34 } = 83, x _{ 46 } = 75, x _{ 47 } = 80, x _{ 56 } = 15, x _{ 58 } = 90, Z = 10,043,000; (b) x _{ 14 } = 72, x _{ 25 } = 105, x _{ 34 } = 48, x _{ 35 } = 35, x _{ 46 } = 40, x _{ 47 } = 80, x _{ 56 } = 50, x _{ 58 } = 90, Z = 10,043,000 | ** 39. ** | x _{ 37 } = 2.1, x _{ 15 } = 5.2, x _{ 26 } = 6.3, x _{ 59 } = 5.2, x _{ 68 } = 3.7, x _{ 69 } = 2.6, Z = $27.12 million | ** 41. ** | x _{ 14 } = 85, x _{ 15 } = 40, x _{ 25 } = 70, x _{ 20 } = 15, x _{ 27 } = 125, x _{ 36 } = 85, x _{ 410 } = 85, x _{ 59 } = 55, x _{ 510 } = 55, x _{ 68 } = 100, x _{ 78 } = 70, x _{ 79 } = 55, x _{ 811 } = 85, x _{ 813 } = 35, x _{ 814 } = 50, x _{ 912 } = 40, x _{ 913 } = 70, x _{ 1012 } = 20, x _{ 1015 } = 120, Z = $1,179,400 | ** 43. ** | 11, 24, 32, 53, Z = 78 | ** 45. ** | 1B, 2D, 3C, 4A, Z = 32 | ** 47. ** | 1B, 2E, 3A, 4C, 5D, 6F, Z = 36 | ** 49. ** | 1C, 2F, 3E, 4A, 5D, 6B, Z = 85 defects | ** 51. ** | 1, 4, and 7Columbia; 2, 6, and 8Atlanta; 3, 5, and 9Nashville; Z = 985 | ** 53. ** | A1'sparents' brunch; Bon Apetitpost game party; Bon Apetitlettermen's dinner; Divinebooster club; Epicureancontributors' dinner; Universityalumni brunch; Z = $103,800 | ** 55. ** | Anniebackstroke; Debbiebreaststroke; Erinfreestyle; Faybutterfly; Z = 10.61 min. | ** 57. ** | A2, C1, D1, E3, F3, G2, H1, Z = $1,070 | ** 59. ** | ANJ, BPA, CNY, DFL, EGA, FFL, GVA, Z = 498; success rate = 71.1% | ** 61. ** | x _{ A2 } = 1, x _{ J 2 } = 1, x _{ B1 } = 1, x _{ K1 } = 1, x _{ C1 } = 1, x _{ L3 } = 1, x _{ D2 } = 1, x _{ E1 } = 1, x _{ F1 } = 1, x _{ G2 } = 1, x _{ H3 } = 1, Z = 104 | |