Question 11. 11. A graphical solution is limited to linear programming problems with: (Points : 5)
1 decision variable.
2 decision variables.
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3 decision variables.
4 decision variables.
Analysis of variance
all of the above
Question 16. 16. The $75 per credit hour course fee tacked on to all the MBA classes has generated a windfall of $56,250 in its first semester.“Now we just need to make sure we spend it all,” the Assistant Dean cackled. She charged the Graduate Curriculum Committee with generating a shopping list before their next meeting. Four months later, the chairman of the committee distributed the following. As the professor for the quantitative modeling course, he tended to think in terms of decision variables, so he added the left-most column for ease of use.
Variable Item Cost Note
A iPads for everybody $750/unit Must get a cover if these are purchased
B iPad covers with MBA logo $25/unit Not needed unless we buy iPads
C Speaker series $15,000 Can’t afford both this and the iPads
D Subscriptions to the Wall
Street Journal $10/unit Don’t need if we have the electronic version
E Subscriptions to the electronic
version of the Wall Street
Journal $5/unit Worthless without the iPads
Which of the following constraints best describes the relationship between the electronic Wall Street Journal subscription and the iPads? (Points : 5)
E + A = 0
E + A = 1
E – A ≤ 0
E – A ≤ 1
Question 18. 18. Cully Furniture buys two 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 $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. If the furniture company purchases no big shelves and 200 medium shelves, which of the two resources will be completely used (at capacity)? (Points : 5)
Investment money only
Storage space only
Investment money and storage space
Neither investment money nor storage space
an objective function.
all of the above
Question 20. 20. If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. (Points : 5)