Question: The formulating as an LP should be like ax1+ bx2+ cx3 25 (2) A production department requires different numbers of full-time employees on different days

The formulating as an LP should be like ax1+ bx2+ cx3 25

(2) A production department requires different numbers of full-time employees on different days of the week. The number of full-time employees required on each day is given (see Table). Union rules state that each full-time employee must work five consecutive days and then two days off. For example, if an employee works Monday to Friday, he/she will be off on Saturday and Sunday. Suppose that the production department wants to meet its daily requirements using only full-time employees. Formulate an LP that the production department can use to minimize the number of full time employees who must be hired. # of Full-Time Employees Required 17 Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday 13 15 19 14 16 11 a) Formulate an LP that the production department can use to minimize the total cost instead of the number of employees. (Let Ci: the cost of workers who start work on day i) b) Suppose that the production department can meet its daily requirements using both full-time and part-time employees (one day at a time). Let Pi: the cost of a part-time worker on day i, solve part a

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