TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to schedule and Tech1 can work for 160 hours, Tech2 can work for 110 hours, Tech3 can work for 160 hours, and Tech4 can work for 130 hours in the next month. Four clients are seeking technical services from the company and each of them requires 140 hours of technical support in the next month. The billing rates for the technicians are based on the type of work each client project requires and the skills they have. The rates in dollars per hour are as follows. Based on the E-clips example from the textbook, you can see that this is an assignment problem because the goal of TechConsult is to maximize their billing for the month. Create a network, a linear program, and find the optimal values of the hours that each technician should be assigned for each client and answer the questions below the table (it is okay to round to whole numbers for all answers). Don’t forget to include the networks and LP in your Excel Solutions file:   Dollars per hour rate Technicians Client 1 Client 2 Client 3 Client 4 Tech1 $75 $80 $85 $90 Tech2 $85 $90 $90 $75 Tech3 $80 $85 $85 $90 Tech4 $90 $80 $90 $85 The Optimum Billing Revenue is $ Fill in the blanks with how many hours are assigned to each technician for each client in the following table: Technician Client 1 Client 2 Client 3 Client 4 Tech1         Tech2         Tech3         Tech4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
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hapter 9. TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to schedule and Tech1 can work for 160 hours, Tech2 can work for 110 hours, Tech3 can work for 160 hours, and Tech4 can work for 130 hours in the next month. Four clients are seeking technical services from the company and each of them requires 140 hours of technical support in the next month. The billing rates for the technicians are based on the type of work each client project requires and the skills they have. The rates in dollars per hour are as follows. Based on the E-clips example from the textbook, you can see that this is an assignment problem because the goal of TechConsult is to maximize their billing for the month. Create a network, a linear program, and find the optimal values of the hours that each technician should be assigned for each client and answer the questions below the table (it is okay to round to whole numbers for all answers). Don’t forget to include the networks and LP in your Excel Solutions file:

 

Dollars per hour rate

Technicians

Client 1

Client 2

Client 3

Client 4

Tech1

$75

$80

$85

$90

Tech2

$85

$90

$90

$75

Tech3

$80

$85

$85

$90

Tech4

$90

$80

$90

$85

  1. The Optimum Billing Revenue is $
  2. Fill in the blanks with how many hours are assigned to each technician for each client in the following table:

Technician

Client 1

Client 2

Client 3

Client 4

Tech1

 

 

 

 

Tech2

 

 

 

 

Tech3

 

 

 

 

Tech4

 

 

 

 

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