Please help with this applied math question.

I'm unsure how to formulate the IP

In this MATH336 assignment problrem, suppose a local post ofce requires the following number of workers on the different days of the week. Day ' Number of workers Day Number of workers Mon 1 1 PM 2 0 Tue 12 Sat 10 Wed 13 Sun 10 Thu 14 The post-oice may hire regular workers, who could start on any day of the week, work for 5 consecutive days, and take the next two days off. The cost of hiring a regular worker is $100 per week. (a) Formulate an IP to nd a schedule (that is, how many regular workers should start working on each day of the week) that meets the post-ofce's requirements and minimizes its total cost. (b) Now, suppose that in addition to hiring regular workers, the post ofce may also hire parttime workers, who are available on a daily contract every day of the week. The cost of hiring a part-time worker is $25 per day for Mon Fri and $40 per day for Sat Sllll. Modify your IP in (a) so that it captures this new detail. (c) How do you think the optimum values of the two IPS you presented in (a) and (b) compare to each other? (Hint: Don't actually solve the two IPS.)