Please complete below Quantitative Methods

Mar 7th, 2015
FratBro23
Category:
Mathematics
Price: $30 USD

Question description

Chapter 5

MAT540 Week 9 Homework

MAT540 Homework Week 9 Page 1 of 2

  1. The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regions – the South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month of the company, a salesperson in the East earns $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to determine the number of salespeople to assign to each region to maximize profit.

    1. Formulate an integer programming model for this problem

    2. Solve this model by using the computer.

  2. Solve the following mixed integer linear programming model by using the computer: MaximizeZ=5x1 +6x2 +4x3

Subject to
5x1 +3x2 +6x3 ≤20

x1+3x2 ≤12x1, x3 ≥ 0x2 ≥ 0 and integer

3. The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Further, if project 2 is selected, project 5 must also be selected (but not vice versa). Following are the resource requirements and the estimated profit for each project.

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

MAT540 Homework Week 9 Page 2 of 2

Formulate the integer programming model for this problem and solve it using the computer.

4. During the war with Iraq in 1991, the Terraco Motor Company produced a lightweight, all- terrain vehicle code-named “J99-Terra” for the military. The company is now planning to sell the Terra to the public. It has five plants that manufacture the vehicle and four regional distribution centers. The company is unsure of public demand for the Terra, so it is considering reducing its fixed operating costs by closing one or more plants, even though it would incur an increase in transportation costs. The relevant costs for the problem are provided in the following table. The transportation costs are per thousand vehicles shipped; for example, the cost of shipping 1,000 vehicles from plant 1 to warehouse C is $32,000.

From Plant

Transportation Costs ($1000s) to Warehouse

Annual Production Capacity

Annual Fixed Operating 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 solve an integer programming model for this problem to assist the company in determining which plants should remain open and which should be closed and the number of vehicles that should be shipped from each plan to each warehouse to minimize total cost. 


Tutor Answer

(Top Tutor) Daniel C.
(997)
School: UCLA
PREMIUM TUTOR

Studypool has helped 1,244,100 students

8 Reviews


Summary
Quality
Communication
On Time
Value
ddg82
Dec 9th, 2016
" Thanks, good work "
tinytim47
Nov 25th, 2016
" Wow this is really good.... didn't expect it. Sweet!!!! "
kenmwao2
Nov 24th, 2016
" Solid work, thanks. "
jestin7
Nov 16th, 2016
" This tutor is great! "
lilmoe415
Nov 3rd, 2016
" Thank you, Thank you, for top quality work, this is your guy!! "
dontuwannaknow
Oct 11th, 2016
" Excellent work as always thanks so much "
thargrow
Oct 2nd, 2016
" Very Satisfied. "
SjSurvivor143
Sep 28th, 2016
" Thanks for the help. "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors