Project #16966 - Operation Management Projects

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10. A Manager faces peak (weekly) demand for one of her operations, but is not sure how long the peak will last. She can either use overtime from the current workforce, or hire/lay off and just pay regular-time wages. Regular-time pay is $500 per week, overtime is $750 per week, the hiring cost is $2,000, and the layoff cost is $3,000. Assuming that people are available seeking such a short-term  arrangement, how many weeks must the surge in demand last to justify a temporary hire? Use break-even analysis. Let w be the number of weeks of the high demand (rather than using Q for the break-even quantity). What is the fixed cost for the regular-time option? Overtime option?

11. Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are:

Day                                        M            T              W            Th           F              S              Su

Requirements                   6              3              5              3              7              2              3

Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have two consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie.

12. Cara Ryder manages a ski school in a large resort and is trying to develop a schedule for instructors. The instructors receive little salary and work just enough to earn room and board. They receive free skiing and spend most of their free time tackling the resort’s notorious double black-diamond slopes. Hence, the instructors work only 4 days a week. One of the lesson packages offered at the resort is a 4-day beginner package. Ryder likes to keep the same instructor with a group over the 4-day period, so she schedules the instructors for 4 consecutive days and then 3 days off. Ryder uses years of experience with demand forecasts provided by management to formulate her instructor requirements for the upcoming month.

Day                                        M            T              W            Th           F              S              Su

Requirements                   7              5              4              5              6              9              8             

 

A.      Determine how many instructors Ryder needs to employ. Give preference to Saturday and Sunday off. (Look for the group of 3 days with the lowest requirements.)

B.      Specify the work schedule for each employee. How much slack does your schedule generate for each day?

 

 

13. The mayor of Cambridge, Colorado, wanting to be environmentally progressive, decides to implement a recycling plan. All residents of the city will receive a special three-part bin to separate their glass, plastic, and aluminum, and the city will be responsible for picking up the materials. A young city and regional planning graduate, Michael Duffy, has been hired to manage the recycling program. After carefully studying the city’s population density, Duffy decides that the following numbers of recycling collectors will be needed:

Day                                        M            T              W            Th           F              S              Su

Requirements                   12           7              9              9              5              3              6             

The requirements are based on the populations of the various housing developments and subdivisions in the city and surrounding communities. To motivate residents of some areas to have their pickups schedules on weekends, a special tax break will be given.

A.      Find the minimum number of recycling collectors required if each employee works 5 days a week and has two consecutive days off. Give preference to the S-Su pair when that pair is involved in a tie.

B.      Specify the work schedule for each employee. How much slack does your schedule generate for each day?

C.      Suppose that Duffy can smooth the requirements further through greater tax incentives. The requirements then will be eight collectors on Monday and seven on the other days of the week. How many collectors will be needed now? Does smoothing of requirements have capital investment implications? If so, what are they?

Subject Mathematics
Due By (Pacific Time) 11/17/2013 03:00 pm
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