The production scheduler of Scotsburn Dairy in Truro, NS, has just received a list of products and their desired lot size (the first week of MPS) from the operations coordinator to be produced next week. The aggregate plan has specified a 40-hour week (four days of 10 hours each) for next week. In sequencing the production, she schedules the products in the same family (as determined during MPS), but also tries to assign allergens toward the end of a day and stronger flavours (e.g., mint) after weaker flavours, and to keep availability of ingredients in mind. Suppose the following families, products, and their quantities (in terms of hours of production) have been chosen to be sequenced for production on one of the three lines next week: Family F1 F2 F3 F4 Product Vanilla-1.89 L Butterscotch-1.89 L Neapolitan-1 L Neapolitan-1.65 L Neapolitan-1.89 L Maple walnut-1 L Peanut butter fudge-1.89 L Chocolate-1.89 L Chocolate mint chip fudge-1.89 L Quantity (in hours of production) 9 3 2 2 4 2 3 5 2

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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The production scheduler of Scotsburn Dairy in Truro, NS, has just received a list of products and their desired lot size (the first week of MPS) from the operations coordinator to be produced next week. The aggregate plan has specified a 40-hour week (four days of 10 hours each) for next week. In sequencing the production, she schedules the products in the same family (as determined during MPS), but also tries to assign allergens toward the end of a day and stronger flavours (e.g., mint) after weaker flavours, and to keep availability of ingredients in mind. Suppose the following families, products and their quantities (in terms of hours of production) have been chosen to be sequenced for production on one of the three lines next week: Quantity (in hours of production) Family Product FI Vanilla-1.89 L 9 Butterscotch-1.89 1 3 F2 Neupolitan-IL 2 Neapolitan-1.65 L NOT a А 6 Neapolitan-1.89 L F3 Maple walnut-IL 2 Peanut butter fudge-1.89 L 3 F4 Chocolate-1.89 L 5 Chocolate mint chip fudge-1.89 L 2 The plant is running low on mint flavour but a shipment is expected later next week. Assume one hod of setup time between families and negligible setup time within families. Question How should the production scheduler sequence the production of these products? 

The production scheduler of Scotsburn Dairy in Truro, NS, has just received a list of products and their desired lot size (the first week of MPS)
from the operations coordinator to be produced next week. The aggregate plan has specified a 40-hour week (four days of 10 hours each) for next
week. In sequencing the production, she schedules the products in the same family (as determined during MPS), but also tries to assign allergens
toward the end of a day and stronger flavours (e.g., mint) after weaker flavours, and to keep availability of ingredients in mind. Suppose the following
families, products, and their quantities (in terms of hours of production) have been chosen to be sequenced for production on one of the three lines
next week:
Family
F1
F2
F3
F4
Product
Vanilla-1.89 L
Butterscotch-1.89 L
Neapolitan-1 L
Neapolitan-1.65 L
Neapolitan-1.89 L
Maple walnut-1 L
Peanut butter fudge-1.89 L
Chocolate-1.89 L
Chocolate mint chip fudge-1.89 L
Quantity
(in hours of production)
9
3
2
2
4
2
3
5
2
Transcribed Image Text:The production scheduler of Scotsburn Dairy in Truro, NS, has just received a list of products and their desired lot size (the first week of MPS) from the operations coordinator to be produced next week. The aggregate plan has specified a 40-hour week (four days of 10 hours each) for next week. In sequencing the production, she schedules the products in the same family (as determined during MPS), but also tries to assign allergens toward the end of a day and stronger flavours (e.g., mint) after weaker flavours, and to keep availability of ingredients in mind. Suppose the following families, products, and their quantities (in terms of hours of production) have been chosen to be sequenced for production on one of the three lines next week: Family F1 F2 F3 F4 Product Vanilla-1.89 L Butterscotch-1.89 L Neapolitan-1 L Neapolitan-1.65 L Neapolitan-1.89 L Maple walnut-1 L Peanut butter fudge-1.89 L Chocolate-1.89 L Chocolate mint chip fudge-1.89 L Quantity (in hours of production) 9 3 2 2 4 2 3 5 2
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