Exam 4: Linear Programming Models

Exhibit 4-1 A hospital emergency room requires different numbers of nurses on different days of the week. The number of full-time employees required to be working (i.e. not on call) each day is given in the table below. Mon Tue Wed Thu Fri Sat Sun 18 15 12 13 20 28 22 Hospital rules require that nurses work four consecutive days, are on call for one day, and then receive two days off. The hospital wants to meet its daily requirements, while minimizing the number of nurses that must be on staff. -Refer to Exhibit 4-1.Use Solver to formulate and solve the hospital's problem.

Problems in which we must determine how to schedule employees to provide adequate service under the same situation each planning period are referred to as:

The constraints in a blending problem can be specified in an intuitive way and still lead to which of the following problems

Solver does not offer a sensitivity report for models with integer constraints.

Which of the following statements is a type of constraint that is often required in blending problems

An advertising model in which we try to determine how many excess exposures we can get at different given budget levels is an example of a:

If the following represents decision variables for the number of hours employee i works in week j ,​ then to indicate that the number of working hours of 4 employees in week 3 should not exceed 160 hours,we must have the constraint

Exhibit 4-3 A meat market manager for a large grocery store is preparing a processing plan to stock the shelves with sausage, ground meat, and jerky, which he can prepare from beef, pork and venison. Sausage and ground meat can be made of any mix of the beef, pork and venison, as long at the fat contents are below 15% for sausage and 10% for ground meat. Sausage sells for $5/pound and ground meat sells for $3/pound. Jerky, which sells or $10/pound, is made in a drying process from beef or venison. In the drying process, there is a 50% loss in weight for jerky made from beef (e.g., one pound of beef yields 0.5 pounds of beef jerky) and a 20% loss in weight for jerky made from venison. The market can sell at most 500 pounds of sausage, 1000 pounds of ground meat, and 100 pounds of jerky before their expiration dates. There are currently 1,000 pounds of beef (10% fat content), 500 pounds of pork (8% fat content), and 200 pounds of venison (2% fat content) available for processing. -[Part 2] Refer to Exhibit 4-3.What happens to the revenue when the optimal plan changes to the one given in Part 1

The results of a sensitivity analysis with a dual objective model can be shown graphically using a:

In aggregate planning models,which of the following statements is correct

Exhibit 4-1 A hospital emergency room requires different numbers of nurses on different days of the week. The number of full-time employees required to be working (i.e. not on call) each day is given in the table below. Mon Tue Wed Thu Fri Sat Sun 18 15 12 13 20 28 22 Hospital rules require that nurses work four consecutive days, are on call for one day, and then receive two days off. The hospital wants to meet its daily requirements, while minimizing the number of nurses that must be on staff. -Refer to Exhibit 4-1.Suppose the hospital is experiencing a budget crunch and needs to use the nurses' on call day to temporarily staff the emergency room.Use Solver to formulate and solve the hospital's problem.