Question: Solve the problem of a central post office which has a difficulty assigning its workers to the different districts in a state. There are 10

Solve the problem of a central post office which has a difficulty assigning its workers to the different districts in a state. There are 10 different cadidates that the company can assign to a district, each with different salaries and efficiencies (meassured by the speed with which they process a delivery) depending on their experience. The table below shows the information regarding these 10 employees

Employee A B C D E F G H K L
Salary ($/hr) 12 10 15 11 12 10 14 11 12 14
efficiency (min/u) 4 5 3 4 4 4 3 3 4 3

Write an optimization model that selects the best 5 candidates for the district for a minimum cost considering the district must process at least 1200 packages per hour.

How much will the district be paying in total per hour to the chosen group?

After the selection has been made, the employees are re-labeled E1 through E5 and a study is made to figure out how much time (in hours) it would take them to service each delivery center (between traveling and processing times), C1 through C5. The table below shows this information.

0 C1 C2 C3 C4 C5
E1 26 40 27 35 30
E2 30 45 30 32 30
E3 29 30 20 32 34
E4 26 32 25 30 29
E5 25 42 30 35 34

The central post office whishes to know which is the optimum allocation of employees to delivery centers if each employee can oversee the delivery at a single distribution center. How many hours are required to meet the district's requirements?

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