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Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the center. It is open from 8 A.M. until midnight. Larry has monitored the usage of the center at various times of the day, and determined that the following number of computer consultants are required: TIME OF DAY MINIMUM NUMBER OF CONSULTANTS REQUIRED TO BE ON DUTY 8 AM-NOON NOON-4PM 4PM-8PM 4 10 8PM MIDNIGHT Two types of computer consultants can be hired: full-time and part-time. The full-time consultants work for 8 consecutive hours in any of the following shifts: morning (8 A.M.-4 P.M.), afternoon (noon-8 P.M.), and evening (4 P.M.-midnight). Full-time consultants are paid $40 per hour Part-time consultants can be hired to work any of the four shifts listed in the above table. Part-time consultants are paid $30 per hour An additional requirement is that during every time period, there must be at least 2 full-time consultants on duty for every part- time consultant on duty. Larry would like to determine how many full-time and how many part-time workers should work each shift to meet the above requirements at the minimum possible cost. Formulate a LP for this problem and solve it using Excel solver The optimal cost is (round your answer to integer values):

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Soo1- Con sidex fonewina giuen data ) Let Fi , mumber oecuu-time con surtants Cuosking tre morning P2 mum ber of past- time Consuitants workin3 Secona Shife c2 p.en-4pm) Shipe c4pm- 8 pm) Pa-mumber of part-time Consutcants cuTkins the Fousth shipt C8pm-midmighb Subjece to+e, 24 andb) benerit Contibution pex unit of each Acivity Time Tctaispeauixed 4 2 noon-4 Pm -2 0 1o 2 lo nt O 2 Unit cost4 14 12 12 S116.00 1 2. 1 2

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