week 9 Homework question>>>>>>>>>>xoon only


 

MAT540

 

Week 9 Homework

 

Chapter 5

 

  1. The Livewright Medical Supplies Assembly has a completion of 12 salespeople it wants to intrust to three districts – the South, the East, and the Midwest.   A salesperson in the South earns $600 in use per month of the assembly, a salesperson in the East earns $540, and a salesperson in the Midwest earns $375. The southern district can feel a climax intrustment of 5 salespeople.  The assembly has a completion of $750 per day conducive for expenses for all 12 salespeople.  A salesperson in the South has mean expenses of $80 per day, a salesperson in the East has mean expenses of $70 per day, and a salesperson in the Midwest has mean daily expenses of $50.  The assembly wants to indicate the reckon of salespeople to intrust to each district to maximize use. 

 

  1. Formulate an integer programming copy for this gist

  2. Solve this copy by using the computer. 

     

 

  1. Solve the subjoined modified integer direct programming copy by using the computer:

    Maximize Z = 5 x1 + 6 x2 + 4 x3

 

Subject to

 

5 x1 + 3 x2 + 6 x3 ≤ 20

 

x1 + 3 x2    12

 

x1, x3    0

 

x2    0 and integer

 

 

 

  1. The Texas Consolidated Electronics Assembly  is contemplating a inquiry and fruit program encompassing prospect inquiry devices.  The assembly is arduous from embarking on all devices by the reckon of conducive government scientists (40) and the budget conducive for R&D devices ($300,000).  Further, if decorruption 2 is clarified, decorruption 5 must to-boot be clarified (but not corruption versa).  Following are the supplies requirements and the estimated use for each device. 

 

Project

Expense ($1,000s)

Management Scientists required

Estimated Profit

(1,000,000s)

1

$  60

7

$0.36

2

110

9

0.82

3

53

8

0.29

4

47

4

0.16

5

92

7

0.56

6

85

6

0.61

7

73

8

0.48

8

65

5

0.41

 

 

 

Formulate the integer programming copy for this gist and rerework-out it using the computer.

 

  1. During the war delay Iraq in 1991, the Terraco Motor Assembly executed a lightweight, all-terrain behavior code-named “J99-Terra” for the soldierly.  The assembly is now pur-posening to dispose-of the Terra to the social.  It has five introduces that manipulation the behavior and indecent districtal classification centers.  The assembly is unsure of social insist for the Terra, so it is because reducing its unroving bounteous consumes by closing one or over introduces, smooth though it would run an extension in manner consumes.  The applicable consumes for the gist are granted in the subjoined consultation.  The manner consumes are per thousand behaviors shipped;  for copy, the consume of shipping 1,000 behaviors from introduce 1 to treasury C is $32,000.

     

 

From Plant

Transportation Costs ($1000s)

to Warehouse

Annual Production Capacity

Annual Unroving Bounteous Costs

A

B

C

D

1

$56

$21

$32

$65

12,000

$2,100,000

2

18

46

7

35

18,000

850,000

3

12

71

41

52

14,000

1,800,000

4

30

24

61

28

10,000

1,100,000

5

45

50

26

31

16,000

900,000

Annual

Demand

6,000

14,000

8,000

10,000

 

 

 

 

 

Formulate and rerework-out an integer programming copy for this gist to befriend the assembly in determining which introduces should survive disclose and which should be close and the reckon of behaviors that should be shipped from each pur-pose to each treasury to minimize completion consume.