# Operations Management MCQs

What is the value of the improvement index for cell B1 shown in Table 10-1?

a. -50

b. +3

c. +2

d. +1

11.36 In a goal programming problem with two goals at the same priority level, all the deviational variables are equal to zero in the optimal solution. This means

a. there is no feasible solution to the problem.

b. all goals are fully achieved.

c. nonlinear programming must be used to solve this.

d. this problem was an integer programming problem.

An integer programming (maximization) problem was first solved as a linear programming problem, and the objective function value (profit) was $253.67. The two decision variables (X, Y) in the problem had values of X = 12.45 and Y = 32.75. If there is a single optimal solution, which of the following must be true for the optimal integer solution to this problem?

a. X = 12 Y = 32

b. X = 12 Y = 33

c. the objective function value must be less than $253.67

d. the objective function value will be greater than $253.67

A company must assign mechanics to each of four jobs. The time involved varies according to individual abilities. Table 10-2 shows how many minutes it takes each mechanic to perform each job. This was solved using the Hungarian method. Table 10-3 shows the solution.

TABLE 10-2

JOB

1 2 3 4

WORKER A 4 6 5 4

B 3 5 4 7

C 5 6 5 4

D 7 5 5 6

TABLE 10-3

JOB

FINAL TABLE 1 2 3 4

WORKER A 0 1 0 0

B 0 1 0 4

C 1 1 0 0

D 3 0 0 2

According to Table 10-3, which is the final table for an assignment problem, which worker should be assigned to Job 1?

a. either worker A or worker B

b. only worker A could be assigned to Job 1

c. only worker B could be assigned to Job 1

d. any of the workers

A company must assign mechanics to each of four jobs. The time involved varies according to individual abilities. Table 10-2 shows how many minutes it takes each mechanic to perform each job. This was solved using the Hungarian method. Table 10-3 shows the solution.

TABLE 10-2

JOB

1 2 3 4

WORKER A 4 6 5 4

B 3 5 4 7

C 5 6 5 4

D 7 5 5 6

TABLE 10-3

JOB

FINAL TABLE 1 2 3 4

WORKER A 0 1 0 0

B 0 1 0 4

C 1 1 0 0

D 3 0 0 2

If optimal assignments are made, how many total minutes are needed to complete the jobs?

a. 0

b. 4

c. 17

d. 20

Assignment problems solved previously by linear programming techniques are also examples of

a. pure-integer programming problems.

b. mixed-integer programming problems.

c. zero-one integer programming problems.

d. goal programming problems.

What is the total cost represented by the solution shown in Table 10-1?

a. 60

b. 2500

c. 2600

d. 500

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#### Solution Summary

This posting contains solution to following MCQ questions on operations management.

Operations Management Multiple Choice Questions with Explainations and answers

Please see the attached file.

1. What is the expected value of the following:

X = 1, 2, 3, 4, & 5 and P(X) = 0.01, 0.02, 0.03, 0.04, 0.05, respectively.

a. 0.15

b. 0.00225

c. 0.555

d. None of the above

2. At a university with 1,000 business majors, there are 200 business students who are enrolled in an introductory statistics course. Of 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students who are enrolled in accounting but are not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in accounting?

a. 0.20

b. 0.25

c. 0.30

d. 0.50

e. None of the above

3. Demand for iPODs has increased steadily over the past 5 months.

Using exponential smoothing with the smoothing constant = 0.3, calculate the forecast for month 6.

Month iPODs Forecast

1 60 56.000

2 62 57.200

3 67 58.640

4 70 61.148

5 75 63.804

What is the forecast for month 6?

a. 68.8

b. 76

c. 67.2

d. none of the above.

4. The annual demand for a product is 1,000 units. The company orders 200 units each time an order is placed. The lead time is 6 days, and the company has determined that 20 units should be held as a safety stock. There are 250 working days per year. What is the reorder point?

a. 20

b. 24

c. 44

d. 120

e. none of the above

5. Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

Maximize profit = 50X + 60 Y

Subject to: 8X + 10Y £ 800 (labor hours)

X + Y £ 120 (total units demanded)

4X + 5Y £ 500 (raw materials)

all variables ³ 0

The optimal solution is X = 100 Y = 0.

How many units of the raw materials would be used to produce this number of units?

a. 400

b. 200

c. 500

d. 120

e. none of the above

6. The following forecasting model has been developed:

^

Y = 36 + 4.3X

Where

Y? = demand for air conditioners

X1 = outside temperature ( o F)

What is the demand for air conditioners when the temperature is 70 degrees Fahrenheit?

a. 360

b. 403

c. 66

d. 337

7. Bus and subway ridership is believed to be related to the number of tourists.

These are the data for the past 12 years:

Year Ridership (in 1,000,000s) (Y) Number of Tourists (in 1,000,000s) (X)

1 15 7

2 10 2

3 13 6

4 15 4

5 25 14

6 27 15

7 24 16

8 20 12

9 27 14

10 44 20

11 34 15

12 17 7

The regression model that reflects the relationship of the tourists to

ridership is:

a. Y? = 8.0 + 17.5 X

b. Y? = 7.2 + 2.1 X

c. Y? = 5.060 + 1.593 X

d. none of the above

8. For the problem in #7 above, what is the expected ridership if 10 million tourists visit the city?

a. 5.06 million

b. 2.1 million

c. 23 million

d. 20.99 million

9. Find the shortest route from Node 1 to Node 5 using the shortest route

technique.

From Node/ To Node /Distance

1 2 200

1 3 150

2 3 50

2 4 300

3 4 250

3 5 200

4 5 150

a. 350

b. 400

c. 450

d. 600

e. none of the above

10. Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probability that the project is finished in 70 weeks or less (round to two decimals)?

a. 0.98

b. 0.48

c. 0.50

d. 0.02

e. none of the above

11. Customers enter the waiting line at a cafeteria on a first come, first served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is six per minute and the average service rate of a single server is eight per minute, what is the average number of customers in the system?

a. 0.50

b. 0.75

c. 2.25

d. 3.00

e. none of the above

12. What is the minmax regret decision with the following payoffs depending on the market?

Alternative Good Market Fair Market Poor Market

Single unit 25,000 20,000 -5,000

Duplex 80,000 30,000 -10,000

Triplex 100,000 30,000 -12,000

Quadraplex 150,000 25,000 -20,000

a. Single unit

b. Duplex

c. Triplex

d. Quadraplex

13. What is the best decision based on the following table?

Alternative Good Market Fair Market Poor Market

Single unit 25,000 20,000 -45,000

Duplex 80,000 30,000 -10,000

Triplex 100,000 90,000 -9,000

Quadraplex 150,000 50,000 -40,000

Probability 0.4 0.35 0.25

a. Single unit

b. Duplex

c. Triplex

d. Quadraplex

14. What is the critical path of this network?

Activity Predecessor(s) Duration

A - 2

B - 5

C A 3

D B 6

E A,B 4

a. Start-A-E-End

b. Start-A-C-End

c. Start-B-D-End

d. Start-B-E-End

15. A probability distribution has been developed, and the probability of 2 arrivals in the next hour is 0.20. A random number interval is to be assigned to this. Which of the following would NOT be an appropriate interval?

a. 01-20

b. 21-40

c. 00-19

d. 00-20