MAT 540 Week 11 Discussion

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

MAT 540 Week 11 Discussion

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

MAT 540 Week 11 Discussion

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

http://hwacer.com/Tutorial/mat-540-week-11-discussion/

"Reflection to date" Please respond to the following:

• In a paragraph, reflect on what you've learned in this course.  Identify the most interesting, unexpected, or useful thing you’ve learned, and explain how it can be applied to your work or daily life in some manner.

MAT 540 Week 10 Homework

MAT540 Homework
Week 10
Page 1 of 2
MAT540
Week 10 Homework
Chapter 6
1. Consider the following transportation problem: From To (Cost) Supply 1 2 3
A
6
5
5
150
B
11
8
9
85
C
4
10
7
125
Demand
70
100
80
Formulate this problem as a linear programming model and solve it by the using the computer.
2. Consider the following transportation problem: From To (Cost) Supply 1 2 3
A
8
14
8
120
B
6
17
7
80
C
9
24
10
150
Demand
110
140
100
Solve it by using the computer.
3. World foods, Inc. imports food products such as meats, cheeses, and pastries to the United States from warehouses at ports in Hamburg, Marseilles and Liverpool. Ships from these ports deliver the products to Norfolk, New York and Savannah, where they are stored in company warehouses before being shipped to distribution centers in Dallas, St. Louis and Chicago. The products are then distributed to specialty foods stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the U.S. cities and the available supplies (1000 lb.) at the European ports are provided in the following table:
MAT540 Homework
Week 10
Page 2 of 2
From To (Cost) Supply 4. Norfolk 5. New York 6. Savannah

http://hwacer.com/Tutorial/mat-540-week-10-homework/

1. Hamburg
320
280
555
75
2. Marseilles
410
470
365
85
3. Liverpool
550
355
525
40
The transportation costs ($/1000 lb.) from each U.S. city of the three distribution centers and the demands (1000 lb.) at the distribution centers are as follows: Warehouse Distribution Center 7. Dallas 8. St. Louis 9. Chicago
4. Norfolk
80
78
85
5. New York
100
120
95
6. Savannah
65
75
90
Demand
85
70
65
Determine the optimal shipments between the European ports and the warehouses and the distribution centers to minimize total transportation costs.
4. The Omega Pharmaceutical firm has five salespersons, whom the firm wants to assign to five sales regions. Given their various previous contacts, the sales persons are able to cover the regions in different amounts of time. The amount of time (days) required by each salesperson to cover each city is shown in the following table: Salesperson Region (days) A B C D E
1
20
10
12
10
22
2
14
10
18
11
15
3
12
13
19
11
14
4
16
12
14
22
16
5
12
15
19
26
23
Which salesperson should be assigned to each region to minimize total time? Identify the optimal assignments and compute total minimum time.

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MAT 540 Week 10 Discussion

Discussion assignment and transshipment problems

Select one (1) of the following topics for your primary discussion posting:

• Explain the assignment model and how it facilitates in solving transportation problems. Determine the benefits to be gained from using this model.
• Identify any challenges you have in setting up an transshipment model in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.

http://hwacer.com/Tutorial/mat-540-week-10-discussion/

Discussion assignment and transshipment problems

Select one (1) of the following topics for your primary discussion posting:

• Explain the assignment model and how it facilitates in solving transportation problems. Determine the benefits to be gained from using this model.
• Identify any challenges you have in setting up an transshipment model in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.

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MAT 540 Week 9 Homework

MAT540 Homework
Week 9
Page 1 of 3
MAT540
Week 9 Homework
Chapter 5
1. Rowntown Cab Company has 70 drivers that it must schedule in three 8-hour shifts. However, the demand for cabs in the metropolitan area varies dramatically according to time of the day. The slowest period is between midnight and 4:00 A.M. the dispatcher receives few calls, and the calls that are received have the smallest fares of the day. Very few people are going to the airport at that time of the night or taking other long distance trips. It is estimated that a driver will average $80 in fares during that period. The largest fares result from the airport runs in the morning. Thus, the drivers who sart their shift during the period from 4:00 A.M. to 8:00 A.M. average $500 in total fares, and drivers who start at 8:00 A.M. average $420. Drivers who start at noon average $300, and drivers who start at 4:00 P.M. average $270. Drivers who start at the beginning of the 8:00 P.M. to midnight period earn an average of $210 in fares during their 8-hour shift.
To retain customers and acquire new ones, Rowntown must maintain a high customer service level. To do so, it has determined the minimum number of drivers it needs working during every 4-hour time segment- 10 from midnight to 4:00 A.M. 12 from 4:00 to 8:00 A.M. 20 from 8:00 A.M. to noon, 25 from noon to 4:00 P.M., 32 from 4:00 to 8:00 P.M., and 18 from 8:00 P.M. to midnight.
a. Formulate and solve an integer programming model to help Rowntown Cab schedule its drivers.
b. If Rowntown has a maximum of only 15 drivers who will work the late shift from midnight to 8:00 A.M., reformulate the model to reflect this complication and solve it
c. All the drivers like to work the day shift from 8:00 A.M. to 4:00 P.M., so the company has decided to limit the number of drivers who work this 8-hour shift to 20. Reformulate the model in (b) to reflect this restriction and solve it.

http://hwacer.com/Tutorial/mat-540-week-9-homework/

2. Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The weight and profit (in U.S. dollars) of each item are as follows:
MAT540 Homework
Week 9
Page 2 of 3
Item
Weight (lb.)
Profit
Denim jeans
2
$90
CD players
3
150
Compact discs
1
30
Juan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a “knapsack” problem. Formulate and solve the problem.
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 resources requirement and the estimated profit for each project.
Project
Expense
($1,000s)
Management Scientists required
Estimated Profit
(1,000,000s)
1
50
6
0.30
2
105
8
0.85
3
56
9
0.20
4
45
3
0.15
5
90
7
0.50
6
80
5
0.45
7
78
8
0.55
8
60
5
0.40
Formulate the integer programming model for this problem and solve it using the computer.
4. Corsouth Mortgage Associates is a large home mortgage firm in the southeast. It has a poll of permanent and temporary computer operators who process mortgage accounts, including posting payments and updating escrow accounts for insurance and taxes. A permanent operator can process 220 accounts per day, and a temporary operator can process 140 accounts per day. On average, the firm must process and update at least 6,300 accounts daily. The company has 32 computer
MAT540 Homework
Week 9
Page 3 of 3
workstations available. Permanent and temporary operators work 8 hours per day. A permanent operator averages about 0.4 error per day, whereas a temporary operator averages 0.9 error per day. The company wants to limit errors to 15 per day. A permanent operator is paid $120 per day wheras a temporary operator is paid $75 per day. Corsouth wants to determine the number of permanent and temporary operators it needs to minimize cost. Formulate, and solve an integer programming model for this problem and compare this solution to the non-integer solution.
5. Globex Investment Capital Corporation owns six companies that have the following estimated returns (in millions of dollars) if sold in one of the next 3 years:
Company
Year Sold
(estimated returns, $1,000,000s)
1
2
3
1
$14
$18
$23
2
9
11
15
3
18
23
27
4
16
21
25
5
12
16
22
6
21
23
28
To generate operating funds, the company must sell at least $20 million worth of assets in year 1, $25 million in year 2, and $35 million in year 3. Globex wants to develop a plan for selling these companies during the next 3 years to maximize return.
Formulate an integer programming model for this problem and solve it by using the computer.

MAT 540 Week 9 Discussion

Discuss characteristics of integer programming problems

Select one (1) of the following topics for your primary discussion posting:

• Explain how the applications of Integer programming differ from those of linear programming. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
• Identify any challenges you have in setting up an integer programming problem in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.

http://hwacer.com/Tutorial/mat-540-week-9-discussion/

Discuss characteristics of integer programming problems

Select one (1) of the following topics for your primary discussion posting:

• Explain how the applications of Integer programming differ from those of linear programming. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
• Identify any challenges you have in setting up an integer programming problem in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.

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MAT 540 Week 8 Homework

MAT540 Homework
Week 8
Page 1 of 4
MAT540
Week 8 Homework
Chapter 4
1. Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer- Yodel, Shotz, and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follows:
Brand
Cost/Gallon
Yodel
$1.50
Shotz
0.90
Rainwater
0.50
The tavern has a budget of $2,000 for beer for Super Bowl Sunday. Betty sells Yodel at a rate of $3.00 per gallon, Shotz at $2.50 per gallon, and Rainwater at $1.75 per gallon. Based on past football games, Betty has determined the maximum customer demand to be 400 gallons of Yodel, 500 gallons of shotz, and 300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of beer; Betty wants to stock up completely. Betty wants to determine the number of gallons of each brand of beer to order so as to maximize profit.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
2. As result of a recently passed bill, a congressman’s district has been allocated $3 million for programs and projects. It is up to the congressman to decide how to distribute the money. The congressman has decide to allocate the money to four ongoing programs because of their importance to his district- a job training program, a parks project, a sanitation project, and a mobile library. However, the congressman wants to distribute the money in a manner that will please the most voters, or, in other words, gain him the most votes in the upcoming election. His staff’s estimates of the number of votes gained per dollar spent for the various programs are as follows.
MAT540 Homework
Week 8
Page 2 of 4
Program
Votes/Dollar
Job training
0.03
Parks
0.08
Sanitation
0.05
Mobile library
0.03
In order also to satisfy several local influential citizens who financed his election, he is obligated to observe the following guidelines:
 None of the programs can receive more than 30% of the total allocation
 The amount allocated to parks cannot exceed the total allocated to both the sanitation project and the mobile library.
 The amount allocated to job training must at least equal the amount spent on the sanitation project.
Any money not spent in the district will be returned to the government; therefore, the congressman wants to spend it all. Thee congressman wants to know the amount to allocate to each program to maximize his votes.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

http://hwacer.com/Tutorial/mat-540-week-8-homework/

3. Anna Broderick is the dietician for the State University football team, and she is attempting to determine a nutritious lunch menu for the team. She has set the following nutritional guidelines for each lunch serving:
 Between 1,300 and 2,100 calories
 At least 4 mg of iron
 At least 15 but no more than 55g of fat
 At least 30g of protein
 At least 60g of carbohydrates
 No more than 35 mg of cholesterol
She selects the menu from seven basic food items, as follows, with the nutritional contributions per pound and the cost as given:
MAT540 Homework
Week 8
Page 3 of 4
Calories
(per lb.)
Iron
(mg/lb.)
Protein
(g/lb.)
Carbo-hydrates
(g/lb.)
Fat
(g/lb.)
Cholesterol
(mg/lb)
Cost
($/lb.)
Chicken
500
4.2
17
0
30
180
0.85
Fish
480
3.1
85
0
5
90
3.35
Ground beef
840
0.25
82
0
75
350
2.45
Dried beans
590
3.2
10
30
3
0
0.85
Lettuce
40
0.4
6
0
0
0
0.70
Potatoes
450
2.25
10
70
0
0
0.45
Milk (2%)
220
0.2
16
22
10
20
0.82
The dietician wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving.
a. Formulate a linear programming model for this problem and solve.
b. If a serving of each of the food items (other than milk) was limited to no more than a half pound, what effect would this have on the solution?
4. Dr. Maureen Becker, the head administrator at Jefferson County Regional Hospital, must determine a schedule for nurses to make sure there are enough of them on duty throughout the day. During the day, the demand for nurses varies. Maureen has broken the day in to twelve 2-hour periods. The slowest time of the day encompasses the three periods from 12:00 A.M. to 6:00 A.M., which beginning at midnight; require a minimum of 30, 20, and 40 nurses, respectively. The demand for nurses steadily increases during the next four daytime periods. Beginning with the 6:00 A.M.- 8:00 A.M. period, a minimum of 50, 60, 80, and 80 nurses are required for these four periods, respectively. After 2:00 P.M. the demand for nurses decreases during the afternoon and evening hours. For the five 2-hour periods beginning at 2:00 P.M. and ending midnight, 70, 70, 60, 50, and 50 nurses are required, respectively. A nurse reports for duty at the beginning of one of the 2-hour periods and works 8 consecutive hours (which is required in the nurses’ contract). Dr. Becker wants to determine a nursing schedule that will meet the hospital’s minimum requirement throughout the day while using the minimum number of nurses.
a. Formulate a linear programming model for this problem.
MAT540 Homework
Week 8
Page 4 of 4
b. Solve the model by using the computer.
5. The production manager of Videotechnics Company is attempting to determine the upcoming 5-month production schedule for video recorders. Past production records indicate that 2,000 recorders can be produced per month. An additional 600 recorders can be produced monthly on an overtime basis. Unit cost is $10 for recorders produced during regular working hours and $15 for those produced on an overtime basis. Contracted sales per month are as follows:
Month
Contracted Sales (units)
1
1200
2
2100
3
4
5
2400
3000
4000
Inventory carrying costs are $2 per recorder per month. The manager does not want any inventory carried over past the fifth month. The manager wants to know the monthly production that will minimize total production and inventory costs.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

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MAT 540 Week 8 Discussion

Practice setting up linear programming models for business applications 

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.

Practice setting up linear programming models for business applications 

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.

http://hwacer.com/Tutorial/mat-540-week-8-discussion/

Practice setting up linear programming models for business applications 

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.

Practice setting up linear programming models for business applications 

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.

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MAT 540 Week 7 Discussion

Discuss sensitivity analysis

Select one (1) of the following topics for your primary discussion posting:

• Identify any challenges you have in setting up a linear programming problem in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.
• Explain what the shadow price means in a maximization problem. Explain what this tells us from a management perspective.

http://hwacer.com/Tutorial/mat-540-week-7-discussion/

Discuss sensitivity analysis

Select one (1) of the following topics for your primary discussion posting:

• Identify any challenges you have in setting up a linear programming problem in Excel, and solving it with Solver. Explain exactly what the challenges are and why they are challenging. Identify resources that can help you with that.
• Explain what the shadow price means in a maximization problem. Explain what this tells us from a management perspective.

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MAT 540 Week 6 Homework

MAT540 Homework
Week 6
Page 1 of 2
MAT540
Week 6 Homework
Chapter 2
1. A Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 13 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 10 milligrams of vitamin A and 2 milligram of vitamin B, whereas an ounce of rice contributes 6 milligrams of A and 3 milligrams of B. An ounce of oats costs $0.06, and an ounce of rice costs $0.03.
a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis.
2. A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem.
a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis. (Do not round the answers)
c. How much labor and wood will be unused if the optimal numbers of chairs and tables are produced?
3. Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own peas and a profit of $0.19 for any of the national brands. The store has 6 square feet of shelf space available for canned peas, and each can of peas takes up 9 square inches of that space. Point-of-sale records show that each week the store never sales more than half as many cans of its own brand as it does of the national brands. The store wants to know how many cans of its own brand of peas of peas and how many cans of the national brands to stock each week on the allocated shelf space in order to maximize profit.
a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis.

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MAT540 Homework
Week 6
Page 2 of 2
4. Solve the following linear programming model graphically:
Minimize Z=8X1 + 6X2
Subject to
4X1 + 2X2 20
-6X1 + 4X2
X1 + X2
X1 , X2

MAT 540 Week 6 Homework, CIS 525 Week 8 Discussion, PAD 530 Week 7 Assignment 3, PAD 530 Assignment 3, CIS 525 Week 7 Discussion, CIS 515 Week 2 Assignment 2, CIS 525 Week 5 Discussion, CIS 525 Week 4 Discussion, CIS 599 Week 10 Project Deliverable 6, CIS 525 Week 3 Discussion, BUS 599 Week 9 Discussion, FIN 534 Week 6 Discussion 1, MKT 500 Week 10 Discussion, BUS 375 Week 5 Discussion,   CIS 599 Week 8 Project Deliverable 5, CIS 558 Week 8 Discussion, CIS 558 Week 6 Assignment 2, HSA 510 Week 10 Assignment 4,HSA 510 Week 9 Discussion, HSA 510 Assignment 3, ECO 550 Week 8 Discussion,  ECO 550 Week 5 Discussion, HSA 510 Week 8 Assignment 3,HSA 510 Week 7 Discussion, HSA 510 Week 6 Discussion, HSA 510 Week 5 Discussion, HSA 510 Week 4 Assignment 1,HSA 510 Week 4 Discussion, HSA 510 Week 3 Discussion, PAD 525 Week 6 Discussion Question 1,PAD 525 Week 5 Discussion Question 1,PAD 525 Week 4 Discussion Question 1

Homework Answer A+++Detailed work Covered all points, Graphs etc