Natura has to fill 7 orders for its clients. He requires placing the required product in work boxes and subsequently closing them properly so that the product reaches the customer correctly. The process consists of filling the box and later closing it. As the content of each box and the size of these is different, the filling and closing times of each order is different. These times are shown in the table below. Orders Place in box (minutes) Closing Box (minutes) 1 9 6 2 8 5 3 7 7 4 6 3 5 1 2 6 2 6 7 4 7 a) Find the sequence to complete the orders in the shortest time possible. b) Using a Gantt chart, find the total time in which all orders will be completed using the sequence from part a.
Natura has to fill 7 orders for its clients. He requires placing the required product in work boxes and subsequently closing them properly so that the product reaches the customer correctly. The process consists of filling the box and later closing it. As the content of each box and the size of these is different, the filling and closing times of each order is different. These times are shown in the table below. Orders Place in box (minutes) Closing Box (minutes) 1 9 6 2 8 5 3 7 7 4 6 3 5 1 2 6 2 6 7 4 7 a) Find the sequence to complete the orders in the shortest time possible. b) Using a Gantt chart, find the total time in which all orders will be completed using the sequence from part a.
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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Natura has to fill 7 orders for its clients. He requires placing the required product in work boxes and subsequently closing them properly so that the product reaches the customer correctly. The process consists of filling the box and later closing it. As the content of each box and the size of these is different, the filling and closing times of each order is different. These times are shown in the table below.
Orders |
Place in box (minutes) |
Closing Box (minutes) |
1 |
9 |
6 |
2 |
8 |
5 |
3 |
7 |
7 |
4 |
6 |
3 |
5 |
1 |
2 |
6 |
2 |
6 |
7 |
4 |
7 |
a) Find the sequence to complete the orders in the shortest time possible. b) Using a Gantt chart, find the total time in which all orders will be completed using the sequence from part a.
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