Each day of every working week is divided into three eight-hour shift periods (00:01-08:00, 08:01-16:00, 16:01-24:00) denoted by night, day and late respectively. The production manager of a chemical plant is attempting to devise a shift pattern for his workforce. Linear programming example 1993 UG exam.Each van can transport 8 students, requires 1 chaperone, and cost $100 to rent. Each bus can transport 40 students, requires 3 chaperones, and costs $1,200 to rent.