Chapter 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 150 hours, Tech2 can work for 100 hours, Tech3 can work for 200 hours, and Tech4 can work for 100 hours in the next month. Four clients are seeking technical services from the company and Client 1 requires 120 hours, Client 2 requires 125 hours, Client 3 requires 140 hours and Client 4 requires 165 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: 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 0 0 0 150 Tech2 0 0 100 0 Tech3 20 125 40 15 Tech4 100 0 0 0 In the TechConsult Projects Ltd. problem given above, what happens if due to a NDA issue, Tech4 cannot work for Client 1. Redo the linear program to reflect this issue and find the new Optimum Billing Revenue and enter it in the blank below. Remember to show all your work in the Excel file. The NEW Optimum Billing Revenue would be: $______?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Chapter 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 150 hours, Tech2 can work for 100 hours, Tech3 can work for 200 hours, and Tech4 can work for 100 hours in the next month. Four clients are seeking technical services from the company and Client 1 requires 120 hours, Client 2 requires 125 hours, Client 3 requires 140 hours and Client 4 requires 165 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:

	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	0	0	0	150
Tech2	0	0	100	0
Tech3	20	125	40	15
Tech4	100	0	0	0

In the TechConsult Projects Ltd. problem given above, what happens if due to a NDA issue, Tech4 cannot work for Client 1. Redo the linear program to reflect this issue and find the new Optimum Billing Revenue and enter it in the blank below. Remember to show all your work in the Excel file.

The NEW Optimum Billing Revenue would be: $______?

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