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1.) The objective is to minimize the total daily labor costs. Decision variables: Y1 = number of full time workers required in shift 7:00am to
1.) The objective is to minimize the total daily labor costs. Decision variables: Y1 = number of full time workers required in shift 7:00am to 3:00pm Y2 = number of full time workers required in shift 11:00am to 7:00pm Y3 = number of full time workers required in shift 3:00pm to 11:00pm X1 = number of part time workers required in shift 7:00am to 11:00am X2 = number of part time workers required in shift 11:00am to 3:00pm X3 = number of part time workers required in shift 3:00pm to 7:00pm X4 = number of part time workers required in shift 7:00pm to 11:00pm Objective Function: Min Z = 80Y1 80Y2 80Y3 32X1 32X2 32X3 32X4 Subject to: Y1 X1 => 11 (7:00am to 11:00am) Y1 Y2 X2 => 24 (11:00am to 1:00pm) Y1 Y2 X2 => 16 (1:00pm to 3:00pm) Y2 Y3 X3 => 10 (3:00pm to 5:00pm) Y2 Y3 X3 => 22 (5:00pm to 7:00pm) Y3 X4 => 17 (7:00pm to 9:00pm) Y3 X4 => 6 (9:00pm to 11:00pm) Y1 => 1 (at least one full time worker before opening) Y3 => 1 (at least one full time worker before closing) Y1 Y2 => 0.30 ( Y1
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