Quantitative Method Case Study

Your write-up for the Term Paper project must be in the format of a report (the questions to be answered are posed after each Case). Each Case study must have an abstract outlining the methodology chosen to tackle the problem. You must say why this methodology is the best suited for the analysis of the case in hand. You must provide the detailed calculations you carried out for the cases. Finally you must present a well constructed conclusion elaborating on the relevance of the solutions you obtain. Please do not forget to provide the bibliography. Please remember the inclusion of the detailed calculations and the problem setup in the write up of the project.

Quantitative Methods

True/False 7. When the right-hand sides of 2 constraints are both increased by 1 unit, the value of the objective function will be adjusted by the sum of the constraints’ prices. 8. The sensitivity range for an objective coefficient is the range of values over which the current optimal solution point (product mix) will remain optimal. 9. In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities. 10. In a mixed integer model, some solution values for decision variables are integer and others can be non-integer. 11. The solution value (Z) to the linear programming relaxation of a maximization problem will always be less... click for more

Quantitative Method Multiple Choice Questions

25. The minimization of cost or maximization of profit is the a. objective of a business b. constraint of operations management c. goal of management science d. objective of linear programming e. both a and d 26. Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the storage space constraint? a. 90B + 100M 18... click for more

Orthogonality and Bases

Please help me with 2 attached problems. In problem 6 I can imagine the space and guess which vectors are orthogonal to (1,-1,0) like (0,0,1) for example. However, I am not sure of my approach when I do it by hand. I do not know how to approach problem 12. I am doing something completely wrong and especially need help with this problem.

Explanation as to why X37 = 400, X78 = 0, and X48 = 400.

I need a physical explanation as to why X37 = 400, X78 = 0, and X48 = 400. I need for these computer generated numbers to make sense and be able to justify them , if they are justifiable. these problems come from Management Science (Anderson,Sweeney, and Williams) 11th edition on page 327-330 figure 7.13, The management scientist solution for the contois carpet problem.