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 Tech2 Tech3 Tech4
Chapter 9. TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to
Dollars per hour rate |
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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 |
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Tech2 |
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Tech3 |
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Tech4 |
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