# MAT540 Homework Week 10

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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

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.

- 6 years ago

**the answer**

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- the-answer-to-hw10_answer_sheet.xlsx

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*all work must be done on the template*, showing work.3 years ago### 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

NOT RATEDMAT540 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 …

6 years ago### MAT 540 MAT540 MAT/540 Week 10 Homework Latest version

NOT RATEDMAT540 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 …

6 years ago### MAT 540 Week 10 Homework Chapter 6

NOT RATED1. Consider the following transportation problem:

From

To (Cost)

…

5 years ago### WEEK 10 (NEW DATA 2016)

NOT RATEDWeek 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 …6 years ago