anchez Trucking has been experiencing delays at its warehouse operations Management hired a consultant to find out why service deliveries to local businesses have taken longer than they should. The consultant narrowed down the problem to the number of work crews loading and unloading trucks. Each crew consists o employees who work as a team on a variety of tasks; each employee works a full 40 hours a week. However, costs are also a concern. The consultant advised management that they could supplement work crews with short-term employees, at a higher cost, to cover unexpected needs on a weekly basis. Each work crew ermanently hired by Sanchez costs $2.800 per week in wages and benefits, while a crew of short-term employees costs $5,500 per week. Complicating the decision is the fact that the weekly hourly requirements for work crews is uncertain because of the volatility in the number of deliveries to be made. Deliberating with management, the consultant arrived at the following data. oi 1,200 1,440 1,680 Requirements (man-hours) Probability Number of crews 960 0.2 0.5 0.1 0.2 5 4 6 7 the consultant wants to offer a solution that minimizes the expected weekly costs r Sanchez, how many work crews should Sanchez have on its permanent payroll? payroll containing work crews is the lowest cost alternative, with expected weekly costs to Sanchez of $ (Enter your responses integers)
anchez Trucking has been experiencing delays at its warehouse operations Management hired a consultant to find out why service deliveries to local businesses have taken longer than they should. The consultant narrowed down the problem to the number of work crews loading and unloading trucks. Each crew consists o employees who work as a team on a variety of tasks; each employee works a full 40 hours a week. However, costs are also a concern. The consultant advised management that they could supplement work crews with short-term employees, at a higher cost, to cover unexpected needs on a weekly basis. Each work crew ermanently hired by Sanchez costs $2.800 per week in wages and benefits, while a crew of short-term employees costs $5,500 per week. Complicating the decision is the fact that the weekly hourly requirements for work crews is uncertain because of the volatility in the number of deliveries to be made. Deliberating with management, the consultant arrived at the following data. oi 1,200 1,440 1,680 Requirements (man-hours) Probability Number of crews 960 0.2 0.5 0.1 0.2 5 4 6 7 the consultant wants to offer a solution that minimizes the expected weekly costs r Sanchez, how many work crews should Sanchez have on its permanent payroll? payroll containing work crews is the lowest cost alternative, with expected weekly costs to Sanchez of $ (Enter your responses integers)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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Transcribed Image Text:Sanchez Trucking has been experiencing delays at its warehouse operations. Management hired a consultant to find out why service deliveries to local businesses have taken longer than they should. The consultant narrowed down the problem to the number of work crews loading and unloading trucks. Each crew consists of
6 employees who work as a team on a variety of tasks; each employee works a full 40 hours a week. However, costs are also a concern. The consultant advised management that they could supplement work crews with short-term employees, at a higher cost, to cover unexpected needs on a weekly basis. Each work crew
permanently hired by Sanchez costs $2,800 per week in wages and benefits, while a crew of short-term employees costs $5,500 per week. Complicating the decision is the fact that the weekly hourly requirements for work crews is uncertain because of the volatility in the number of deliveries to be made. Deliberating with
management, the consultant arrived at the following data.
Q
1,680
Requirements (man-hours)
Probability
Number of crews
960
0.2
1,200
0.2
1,440
0.5
0.1
4
5
6
7
If the consultant wants to offer a solution that minimizes the expected weekly costs for Sanchez, how many work crews should Sanchez have on its permanent payroll?
A payroll containing work crews is the lowest cost alternative, with expected weekly costs to Sanchez of $. (Enter your responses as integers.)
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