PLEASE READ CAREFULLY PRIOR TO ANSWERING THE QUESTION! THANK YOU! Jolly Cafe is open from 8 am to 10 pm daily. Besides the hours they are open for business, workers are needed an hour before opening and an hour after closing for setup and clean-up activities. The cafe operates with both full-time (FT) and part-time (PT) workers on the following shifts: Part-time: 4 hours in a shift and have a daily pay rate of $32 Full-time: 8 hours in a shift and have a daily pay rate of $80

The following numbers of workers are needed during each of the indicated time blocks:

At least one FT worker must be available during the hour before opening and after closing. Additionally, at least 30% of employees should be FT (8-hours) workers during the restaurant's busy periods from 11 am to 1 pm and 5 pm to 7 pm.

Formulate an Integer Programming for this problem with the objective of minimizing total daily labor costs. Solve it using Solver on Excel. What is the optimal solution?

Please explain in order for me to better understand the problem for future reference. Thank you so much!

Shift 7 am - 11 am 7 am - 3 pm 11 am - 3 pm 11 am - 7 pm 3 pm - 7 pm 3 pm - 11 pm 7 pm - 11 pm Daily Pay Rates $32 $80 $32 $80 $32 $80 $32 Hours 7 am - 11 am 11 am - 1 pm 1 pm - 3 pm 3 pm - 5 pm 5 pm - 7 pm 7 pm - 9 pm 9 pm - 11 pm Workers Needed 11 24 16 10 22 17 6