Operations Research

The Eastside Manufacturing Company produces four different aircraft components from fabricated sheet metal for several major aircraft companies. The manufacturing process consists of four operations – stamping, assembly, finishing, and packaging. The processing time per unit for each of the operations and total available hours per year to produce these components are given below. (see chart in attached file) The sheet metal required for each component, the estimated annual demand, and the profit contribution provided by each component, are as follows: (see chart in attached file) The company has 15,000 square feet of fabricated metal delivered each month. The company has the ... click for more

Operations Research

Infocomp Systems is a research and development laboratory firm that develops computer systems and software primarily for the medical industry. The laboratory has proposals from its own researchers for eight new projects. Each of the proposed research projects requires limited resources and it is not possible to undertake all of them. The following table reflects the development budget, the number of researchers, and the expected annual sales from each project if successfully developed and implemented. (see chart in attached file) The firm has developed the following set of prioritized goals for selecting projects to initiate: • The company wants to remain within a total developm... click for more

Formulate a linear goal programming model to determine the percentage points of compliance needed in each category that will best satisfy the company’s goals.

The Barron Textile Mill in High Point, North Carolina was checked by inspectors enforcing the Occupational Safety and Health Act (OSHA). The inspectors found violations in four categories: hazardous materials, fire protection, hand-powered tools, and machine safety guards. In each category the mill was not in 100% compliance. Each percentage point of increase in the compliance level in each category will reduce the frequency of accidents, decrease the accident cost per worker, and constitute progress toward satisfying the OSHA compliance level. The following table shows the benefits (in accident frequency and accident cost per worker) and the costs of a percentage point increase in compl... click for more

Wal-Mart, a discount store chain, has completed its new store in Rock Springs

Wal-Mart, a discount store chain, has completed its new store in Rock Springs, Maryland. The 150,000 square foot store operates seven days per week and requires the following number of full-time employees working each day of the week. Number of Employees Sunday 47 Monday 22 Tuesday 28 Wednesday 35 Thursday 34 Friday 43 Saturday 53 Each employee must work five consecutive days each week and then has two days off. For example, any employee who works Sunday through Thursday has Friday and Saturday off. The store currently has a total of 60 employees available to work. Wal-Mart has developed the follow... click for more

Operations Reaserch & Statistics

Standard Pump Corporation recently won a $14 million contract with the U.S. Navy to supply 2000 custom-designed submersible pumps over a period of four months. The contract calls for the delivery of 200 pumps at the end of May, 600 pumps at the end of June, 600 pumps at the end of July, and 600 pumps at the end of August. Standard's production capacity is 500 pumps in May, 400 pumps in June, 800 pumps in July, and 500 pumps in August. Management would like to develop a production schedule that will keep monthly ending inventories low while at the same time minimizing the fluctuations in inventory levels from month to month. In attempting to develop a goal programming model of the problem, th... click for more