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I don't know how to answer this question: Library Staffing at Scripps College. Scripps College is trying to schedule the staffing of its main...
Two types of staff can be hired: full-time and part-time. The full-time staff work for 8 consecutive hours in any of the 3 following shifts: morning (8am-4pm), afternoon (12pm-8pm), and evening (4pm-midnight). Full-time staff are paid $15 per hour. Part-time staff work any of the following 4 shifts: (1) 8am-12pm, (2) 12pm-4pm, (3) 4pm-8pm, and (4) 8pm-midnight. Part-time staff are paid $12 per hour. An additional requirement is that during every time period, there must be at least 3 full-time staff on duty for every parttime staff on duty. Scripps College would like to determine how many full-time and how many part-time staff should work each possible shift (3 shifts for FT, 4 shifts for PT) at the library so as to meet the above requirements at the minimum possible cost. Build a linear programming spreadsheet model, and solve it using Solver.
