# MAT 540 Final Exam 2

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**MAT 540 Final Exam 2**

1). Fractional relationships between variables are not permitted in the standard form of a linear program.

2). In an unbalanced transportation model, supply does not equal demand and one set of constraints uses ≤ signs.

3). Excel can be used to simulate systems that can be represented by both discrete and continuous random variables.

4). In a transshipment problem, items may be transported from destination to destination and from source to source.

5). In a total integer model, all decision variables have integer solution values.

6). A cycle is an up and down movement in demand that repeats itself in less than 1 year.

7). Using the maximin criterion to make a decision, you

8). Using the minimax regret criterion to make a decision,

9). A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.

10). In a break-even model, if all of the costs are held constant, how does an increase in price affect the model?

11). Events that cannot occur at the same time in any trial of an experiment are:

12). Steinmetz furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $100 and requires 100 cubic feet of storage space,

13). Steinmetz furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $100 and requires 100 cubic feet of storage space,

14). The following is an Excel “Answer” and “Sensitivity” reports of a linear programming problem: The Answer Report:

15). The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat.

16). The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively. Five essential ingredients are contained in the feed,

17). Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8,000 gallons of component 1 available,

18). The Kirschner Company has a contract to produce garden hoses for a customer. Kirschner has 5 different machines that can produce this kind of hose.

19). If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint.

20). The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C. The constraint that represents the quantity supplied by DC 1 is:

21). The assignment problem constraint x31+x32+x33+x34 ≤ 2 means

22). Professor Dewey would like to assign grades such that 15% of students receive As. If the exam average is 62 with a standard deviation of 13, what grade should be the cutoff for an A?

23). Jack is considering pursuing an MS in Information Systems degree. He has applied to two different universities.

24). __________ moving averages react more slowly to recent demand changes than do __________ moving averages.

25). Consider the following graph of sales. Which of the following characteristics is exhibited by the data?

26). For the following frequency distribution of demand, the random number 0.8177 would be interpreted as a demand of:

27). A bakery is considering hiring another clerk to better serve customers. To help with this decision, records were kept to determine how many customers arrived in 10-minute intervals.

28). Ford’s Bed & Breakfast breaks even if they sell 50 rooms each month. They have a fixed cost of $6500 per month. The variable cost per room is $30. For this model to work,

29). Suppose that a production process requires a fixed cost of $50,000. The variable cost per unit is $10 and the revenue per unit is projected to be $50. Find the break-even point.

30). Joseph is considering pursuing an MS in Information Systems degree. He has applied to two different universities.

31). Consider the following linear program, which maximizes profit for two products, regular (R), and super (S):

32). Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and $30 on each lawn mower, and they sell all they can produce.

33). Klein Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition.

34). Find the optimal Z value for the following problem. Do not include the dollar “$” sign with your answer. Max Z = x1 + 6x2 Subject to: 17x1 + 8x2 ≤ 136 3x1 + 4x2 ≤ 36 x1, x2 ≥ 0 and integer

35). Suppose that x is normally distributed with a mean of 10 and a standard deviation of 3. Find P(x ≤ 6). Note: Round your answer, if necessary,

36). Ms. James is considering four different opportunities, A, B, C, or D. The payoff for each opportunity will depend on the economic conditions, represented in the payoff table below.

37). The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers.

38). The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers.

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