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1、To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.To Accompany Kra

2、jewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Type1Type2To Accompany Krajewski

3、 & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.x1 =amount of type 1 pipe produced and sold next week, 100-foot incrementsx2 =amount of type 2 pipe produced and sold next week, 100-foot incrementsExample F.1To Accompany Krajewsk

4、i & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Kr

5、ajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accomp

6、any Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To

7、Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.To Accom

8、pany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To

9、 Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example

10、 F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.E

11、xample F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights rese

12、rved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All right

13、s reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All

14、 rights reserved.Example F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Six

15、th Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 x2|24681012141618x14x1 + 6x2 48 (extrusion)Figure F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0

16、 |24681012141618x1x24x1 + 6x2 48 (extrusion)(12, 0)(0, 8)Figure F.1To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 x1x24x1 + 6x2 48 (extrusion)(12, 0)(0, 8)|24681012141618Figure F.1

17、To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)(9, 0)(0, 9)2x1 + 2x2 18 (packaging)Example F.2To Accompany Krajewski & Ritzman Operat

18、ions Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)(9, 0)(0, 9)2x1 + 2x2 18 (packaging)Example F.2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Six

19、th Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)(8, 0)(0, 16)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)Example F.2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002

20、Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)(8, 0)(0, 16)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)Example F.2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, I

21、nc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)Figure F.2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11

22、10 9 8 7 6 5 4 3 2 1 0 |123456789101112x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |1234567891011122x1 + x2 10 x2x1Figure F.3To Accompany Krajewski & Ritzm

23、an Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |1234567891011122x1 + x2 102x1 + 3x2 18x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice

24、 Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |1234567891011122x1 + x2 102x1 + 3x2 18x1 7x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |1234567891

25、011122x1 + x2 102x1 + 3x2 18x1 7x2 5x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |123456789101112- 6x1 + 5x2 52x1 + x2 102x1 + 3x2 18x1 7x2 5x2x1Figure F.3To Ac

26、company Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |123456789101112 6x1 + 5x2 52x1 + x2 102x1 + 3x2 18x1 7x2 5x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: S

27、trategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.12 11 10 9 8 7 6 5 4 3 2 1 0 |123456789101112 6x1 + 5x2 52x1 + x2 102x1 + 3x2 18x1 7x2 5x2x1Figure F.3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall,

28、Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)Feasible regionABCDEFigure F.4To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All r

29、ights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDE (8,0)(0,6.8)Figure F.5To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserv

30、ed.18 16 14 12 10 8 6 4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDE (8,0)(0,6.8)To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6

31、4 2 0 |24681012141618x1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDE (8,0)(0,6.8)To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x

32、1x24x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDE (8,0)(0,6.8)Figure F.6To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18

33、 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging

34、)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Optimal corner point4x1 + 6x2 = 482x1 + 2x2 = 18To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2

35、48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Optimal corner point4x1 + 6x2 = 48(4x1 + 4x2 = 36)To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All righ

36、ts reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Optimal corner point4x1 + 6x2 = 48(4x1 + 4x2 = 36)2x2 = 12To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis,

37、Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Optimal corner point4x1 + 6x2 = 48(4x1 + 4x2 = 36)2x2 = 12 x2 = 6To Accompany Krajewski &

38、Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Optimal corner point4x1 + 6(6) = 48(4x1

39、+ 4x2 = 36)2x2 = 12 x2 = 6To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,

40、6.8)Example F.4Optimal corner point4x1 + 6(6) = 484x1 = 12x1 = 3To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE

41、(8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Slack variablesTo Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix

42、)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Slack variables2x1 + x2= 16To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2

43、16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Slack variables2x1 + x2= 162x1 + x2 + s1 = 16To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|24681012141618x14x1 + 6x2 48 (extrusion

44、)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Slack variables2x1 + x2= 162(3) +6 + s1 = 16To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.|246810

45、12141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)DE (8,0)18 16 14 12 10 8 6 4 2 0 x2ABC(0,6.8)Example F.4Slack variables2x1 + x2 = 16s1 =4To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All r

46、ights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficientsTo Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights

47、reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = ZTo Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. A

48、ll rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + ZTo Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition

49、2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + Zx2 = +34x1Z4040To Accompany Krajewski & Ritzman Operations Manageme

50、nt: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + Zx2 = +c1x1Zc2c2To Accompany Kr

51、ajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2

52、 = 34x1 + Zx2 = +c1x1Zc2c2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective f

53、unction coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + Zx2 = +c1x1Zc2c2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2

54、x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + Zx2 = +c1x1Zc2c2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x

55、2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDEObjective function coefficients34x1 + 40 x2 = Z40 x2 = 34x1 + Zx2 = +c1x1Zc2c2To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14

56、12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDERange of optimality(Slope = 1)(Slope = 2/3)Figure F.7To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights re

57、served.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDERange of optimality(Slope = 1)(Slope = 2/3) 1 342c23Example F.5To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentic

58、e Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDERange of optimality(Slope = 1)(Slope = 2/3) 1 1 342c2334c2Example F.5To Accompany Krajewski & Ritzman Operations Management: Strategy and Anal

59、ysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDERange of optimality(Slope = 1)(Slope = 2/3) 1 c2 34342c23Example F.5To Accompany Krajewski & Ritzman Operation

60、s Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDERange of optimality(Slope = 1)(Slope = 2/3) 1 342c23342c23Example F.5To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition 2002 Prentice Hall, Inc. All rights reserved.18 16 14 12 10 8 6 4 2 0 |24681012141618x14x1 + 6x2 48 (extrusion)2x1 + 2x2 18 (packaging)2x1 + x2 16 (additive mix)ABCDE2c23Range of optimality(Slope = 1)(Slope =

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