A factory operates 7 days a week. Due to labor union regulations, employees are allowed to work a maximum of 5 consecutive days. The minimum number of employees that are needed on a given day is provided as follows: Day Number of Employees Needed Sunday 20 Monday 30 Tuesday 35 Wednesday 40 Thursday 37 Friday 30 Saturday 25 How many employees should be scheduled to begin working each day in order to minimize the total number of employees needed? Define the decision variables needed to model this problem. Give the objection function. Write the constraints. What is the final answer? Explain in detail
A factory operates 7 days a week. Due to labor union regulations, employees are allowed to work a maximum of 5 consecutive days. The minimum number of employees that are needed on a given day is provided as follows: Day Number of Employees Needed Sunday 20 Monday 30 Tuesday 35 Wednesday 40 Thursday 37 Friday 30 Saturday 25 How many employees should be scheduled to begin working each day in order to minimize the total number of employees needed? Define the decision variables needed to model this problem. Give the objection function. Write the constraints. What is the final answer? Explain in detail
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 102P
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A factory operates 7 days a week. Due to labor union regulations, employees are allowed to work a maximum of 5 consecutive days. The minimum number of employees that are needed on a given day is provided as follows:
| Day | Number of Employees Needed |
| Sunday | 20 |
| Monday | 30 |
| Tuesday | 35 |
| Wednesday | 40 |
| Thursday | 37 |
| Friday | 30 |
| Saturday | 25 |
How many employees should be
- Define the decision variables needed to model this problem.
- Give the objection function.
- Write the constraints.
- What is the final answer? Explain in detail.
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