circumference of a circle
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find the circumference with a radius of 63mm. Use 3.14 for pi. Round to the nearest hundredth if necessary.
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Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
...
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
MAT540 Homework
Week 9
Page 1 of 2
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.
Formulate an integer programming model for this problem
Solve this model by using the computer.
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.
1 page
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Most Popular Content
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
...
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
MAT540 Homework
Week 9
Page 1 of 2
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.
Formulate an integer programming model for this problem
Solve this model by using the computer.
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.
1 page
Graph Display Assignment
Horizontal bar chart: top 10 categories with the most number of products on Amazon.com (2017) The graph represented is a b ...
Graph Display Assignment
Horizontal bar chart: top 10 categories with the most number of products on Amazon.com (2017) The graph represented is a bar graph. This type of graph ...
Ahlia Fresh Fruit Young Adult and Older Adult Diets Comparison Paper
The question:This project is split into two tasks.Task 1: Show all necessary workings (use Excel) and convert it to word. ...
Ahlia Fresh Fruit Young Adult and Older Adult Diets Comparison Paper
The question:This project is split into two tasks.Task 1: Show all necessary workings (use Excel) and convert it to word. Include graphs as well (hypothesis graphs) Prepare a report in MS Word. The top food snacks consumed by adults aged 18 – 54 are gum, chocolate candy, fresh fruit, potato chips, breath mints/ candy, ice-cream, nuts, cookies, bars, yogurt, and crackers. Select random samples of people from two different age groups (18 – 21 and 21 & above) and find the respective proportions who ranked fruit fresh as their top snack choice (surveys are required, but numbers can be made up)a) Is there a difference in the proportion of different age groups who rank fresh fruit as their top snack? Test at two appropriate significance levels and comment on your findings. Specify the test statistic you use and its distribution under the null hypothesis.b) Construct a 95% confidence interval for the difference in the proportions.Task 2: No actual calculations are required. Prepare summary in MS Word.You work for a market research company and your boss has asked you to carry out a random sample survey for a mobile phone company to identify whether a recently launched mobile phone is attractive to younger people. Limited time and money resources are available at your disposal.You are being asked to prepare a brief summary.
Best Subsets Regression & Stratification Statistics Exercise Assignment
Using excel to perform regression and other analysis, each step needs to be explained and screenshot with formula shown. E ...
Best Subsets Regression & Stratification Statistics Exercise Assignment
Using excel to perform regression and other analysis, each step needs to be explained and screenshot with formula shown. Each graph needs to be explained and has figure number underneath. Don't need to do review question. Answer needs to be in the word document.(Excel answer screenshot )Everything you need is provided. textbook excel file etc.
word math issue, algebra homework help
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a ...
word math issue, algebra homework help
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 19? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)How many grains of wheat should be placed on square 19?grains
Advanced Epidemiology Exam Questions
Complete the exam (attached) by highlighting (in yellow) the correct answer for each questions You will also need to submi ...
Advanced Epidemiology Exam Questions
Complete the exam (attached) by highlighting (in yellow) the correct answer for each questions You will also need to submit a seperate supporting document after completing the exam to show how you arrived at your responses. Every single question you answer needs to be accompanied by a brief explanation of how you arrived at the answer in order for you to get credit for your response (callucations---show work!, explanations, adn etc)
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