An airline has a new airplane that will be fitted out for a combination of first and second class passengers. A first class seat will cost $120 on a certain one-way trip and a second class seat $80. The seating capacity of the plane is 200 second class seats. A first class seat takes 1.2 times the floor area of a second-class se ...continues
Showing a matrix is totally unimodular
This problem was a sample exam question taken from a text book. This problem is about showing a matrix is TU. This problem can be found in the Wolsey text book called "Integer Programming". A useful resource is "Integer and Combinatorial optimization" by Wolsey and Nemhauser.
Old Tennessee Distillers, Inc., is a large distiller in rural Tennessee with a strong brand recognition for three major brands of blended whiskey. Old Tennessee blends five bourbons into the three final branded blends of whiskey. Brand A is a blend of 20% component bourbon 1, 15% component 2, 30% component 3, 10% component 4, ...continues
The Midland Tool Company manufactures prefabricated metal housings and covers for consumer products
The Midland Tool Company manufactures prefabricated metal housings and covers for consumer products under contracts from finished goods producers on four heavy presses of different sizes and different requirements. Currently, the company has a contract to manufacture three products that each require operations on any one of the ...continues
Fairview Manufacturing Company is considering a number of expansion projects to take place over the next four years. Specifically, Fairview Manufacturing needs to utilize a capital budgeting process to select appropriate opportunities from a total of five approved projects under consideration. Each project requires lump sum ca ...continues
Westside Technology Consulting is an information technology consulting firm based in Los Angeles, California. The firm is owned by two engineers with extensive experience in the hardware design field who are able to act as lead engineers on consulting projects, as are two other members of the firm. Westside also employs 9.5 ot ...continues
Problem #2 Inventory management problem : Cal Automotive Products
Problem #2 Cal Automotive Products Cal Automotive Products manufactures components used in the automotive industry. The company purchases parts for use in its manufacturing operation from a variety of different suppliers. One supplier provides a part where the assumptions of the EOQ model are realistic. The annual demand is 50 ...continues
Inventory management: Safety-stock, Probability of stock-out, Re-order point
Problem #3 Office Max A product with an annual demand of 1000 units has Co = $25.50 and Ch = $8. The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with µ = 25 and std deviiation= 5. a. Determine the recommended order quantity. b. Determine the reorder point and safet ...continues
Inventory Management: Comparing Basic EOQ model with the Backordering model
Wiley’s TV Town sells VCR’s. Weekly demand has averaged 40 VCR’s per week. Wiley makes a gross profit of $50 per VCR sold (not including inventory costs). Holding costs are $260 per VCR per year and reorder costs are $42 per order. Lead time is 1 week and the store operates 52 weeks in a year. Part A Determine: 1 ...continues
Forecast - U.S. general aviation shipments
(a) Plot the data on U.S. general aviation shipments. (b) Describe the pattern and discuss possible causes. (c) Would a fitted trend be helpful? Explain. (d) Make a similar graph for 1992–2003 only. Would a fitted trend be helpful in making a prediction for 2004? (e) Fit a trend model of your choice to the 1992–2003 data. (f) Ma ...continues
