Question: WILL RATE!!!!! Define the appropriate decision variables for a linear staff scheduling model formulation for the following problem. You do NOT need to formulate the

WILL RATE!!!!!

Define the appropriate decision variables for a linear staff scheduling model formulation for the following problem. You do NOT need to formulate the objective and the constraints.

A store has a mix of part-time and full-time employees. Full-time employees have yearly contracts but part-time employees can be hired on 1- to 6- month contracts. They currently have 5 full-time employees who will work through December 31st,2020. The store manager is now planning employee coverage for the second half of 2020. He estimates that the minimum number of employees the store needs during this period is as shown in the table below:

Minimum number of employees needed

Month

July

August

September

October

November

December

Part time

5

10

8

15

20

20

Full time

5

7

6

6

8

8

The salary for full-time employees is $4000 per month but the salary for part-time employees depends on the length of their contract as show in the table below:

Monthly salary of part-time employees

Duration

1 month

2 month

3 month

4 month

5 month

6 month

Salary

1200

1400

1600

1800

2000

2200

The hiring cost of employees is $850 for each full-time employee and $400 for each part-time employee. The manager would like to come up with a staffing plan that would satisfy their needs with minimal cost for July to December 2020.

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