Chapter 6


[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




Introduction to Management Science
Introduction to Management Science (10th Edition)
ISBN: 0136064361
EAN: 2147483647
Year: 2006
Pages: 358

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