A company produces lumber at four productions sites, P₁, P2, P3, and P4, and must transport them to three markets, M₁, M₂, and M3. The company can produce 15 truckloads per week at P₁, 25 truckloads per week at P2, 35 truckloads per week at P3, and 45 truckloads per week at P4. The company has determined that it must provide M₁ with at least 45 truckloads per week, M₂ with at least 35 truckloads per week, and M3 with at least 25 truckloads per week. The transport cost per truckload from each production site to each market is given in Table 8.1. Table 8.1 Transport Cost Information for Problem 8 Transport Cost [$/truckload] From/To P₁ P₂ P3 P4 M₁ 500 400 300 200 M₂ 600 500 400 300 M3 700 600 500 200 Define decision variables and formulate this transport problem as a mathematical program in standard form. (Note: I am not asking you to solve the problem. You simply need to formulate it after defining the decision variables.)
A company produces lumber at four productions sites, P₁, P2, P3, and P4, and must transport them to three markets, M₁, M₂, and M3. The company can produce 15 truckloads per week at P₁, 25 truckloads per week at P2, 35 truckloads per week at P3, and 45 truckloads per week at P4. The company has determined that it must provide M₁ with at least 45 truckloads per week, M₂ with at least 35 truckloads per week, and M3 with at least 25 truckloads per week. The transport cost per truckload from each production site to each market is given in Table 8.1. Table 8.1 Transport Cost Information for Problem 8 Transport Cost [$/truckload] From/To P₁ P₂ P3 P4 M₁ 500 400 300 200 M₂ 600 500 400 300 M3 700 600 500 200 Define decision variables and formulate this transport problem as a mathematical program in standard form. (Note: I am not asking you to solve the problem. You simply need to formulate it after defining the decision variables.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![A company produces lumber at four productions sites, P₁, P2, P3, and P4, and must transport them to three
markets, M₁, M₂, and M3. The company can produce 15 truckloads per week at P₁, 25 truckloads per week
at P2, 35 truckloads per week at P3, and 45 truckloads per week at P4. The company has determined that it
must provide M₁ with at least 45 truckloads per week, M₂ with at least 35 truckloads per week, and M3
with at least 25 truckloads per week. The transport cost per truckload from each production site to each
market is given in Table 8.1.
Table 8.1 Transport Cost Information for Problem 8
Transport Cost [$/truckload]
From/To
P₁
P₂
P3
P4
M₁
500
400
300
200
M₂
600
500
400
300
M3
700
600
500
200
Define decision variables and formulate this transport problem as a mathematical program in standard
form. (Note: I am not asking you to solve the problem. You simply need to formulate it after defining the
decision variables.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70c838b8-0ef5-4a78-a921-72119fb0585b%2Fa79b3082-6052-417e-a68a-0ccd1a344390%2Fgsn809a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company produces lumber at four productions sites, P₁, P2, P3, and P4, and must transport them to three
markets, M₁, M₂, and M3. The company can produce 15 truckloads per week at P₁, 25 truckloads per week
at P2, 35 truckloads per week at P3, and 45 truckloads per week at P4. The company has determined that it
must provide M₁ with at least 45 truckloads per week, M₂ with at least 35 truckloads per week, and M3
with at least 25 truckloads per week. The transport cost per truckload from each production site to each
market is given in Table 8.1.
Table 8.1 Transport Cost Information for Problem 8
Transport Cost [$/truckload]
From/To
P₁
P₂
P3
P4
M₁
500
400
300
200
M₂
600
500
400
300
M3
700
600
500
200
Define decision variables and formulate this transport problem as a mathematical program in standard
form. (Note: I am not asking you to solve the problem. You simply need to formulate it after defining the
decision variables.)
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