Question: Question 2: A bank branch is open from 8:00 am to 10:00 pm on Thursdays. Besides the open hours, they also need an hour before and after for set-up and close-down. The branch operates with a group of full- and part-time workers on the following shifts and the corresponding rates:

The following table indicates the number of workers needed during each of the indicated time blocks:

At least one full time worker must be available during the hour before opening and after closing. Additionally: at least 50% of the employees should be full-time during the busiest hours from 11:00 am — 1:00 pm and from 3:00 pm — 5:00 pm.

Formulate this problem as an integer program to minimize the total labor cost. Clearly define your decision variables objective function and all the constraints. You do not need to solve the problem.