Basic Operations Research MCQ

1. From the above table, find the basic feasible solution using the matrix minimum method.

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2. Which among the following characteristics of the game theory involves the quantitative measure of satisfaction?

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3. From the above table, determine which alternative is the best to choose if a person is adopting the Hurwics criterion.

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4. From the above table, find the basic feasible solution using the matrix minimum method.

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5. Use the property of dominance to find out the value of the saddle point.

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6. A discotheque has a single ticket-counter. During rush hours, people arrive at the rate of 50 per hour. The average number of people allowed to enter is 100 per hour. Calculate the average number of people who still have to wait in the queue for their turn.

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7.

A manufacturing unit makes 40 units of an automobile part daily. Study the above table and calculate how many more pieces need to be produced to meet the customer demand for the coming 5 days. The demand value according to random numbers is?

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8.

The elements Carbon, Magnesium and Sulfur are found in two products, P and Q. The amount of each element (milligrams per ounce) is given above:

The cost of the products is $5 per ounce and $10 per ounce respectively. The minimum requirement to make this product is 2 mg of Carbon, 5 mg of Magnesium and 8 mg of Sulfur.

Formulate this problem in the Linear Programming Form.

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9. Develop a network diagram based on the information given in the table.

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10. Which among the following methods is known as the Unit Penalty Method?

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11. In Non-linear Programming, non-linearity exists when:

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12. In Dynamic Programming, the value of ..... variables specifies the condition of a process.

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13. Which among the following is not an application of Goal Programming?

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14. Find the value of the above game using the principle of dominance.

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15. The Simplex method can solve ........

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16.

A company has to supply a number of shoes at the end of each month. Whatever is produced during a given month is available to be supplied to the customers at the end of that respective month. The set up cost is $1000 per set up and $5 per item.

Find the optimal number of shoes to be produced in the month of March.

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17. At a ticket booking centre, if the mean arrival rate of customers is 10 per hour and the mean service rate is 20 per hour, calculate the traffic intensity.

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18. The epsilon quantity used in a degenerate transport problem should be used in cells which accommodate the following solution procedure:

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19. Study the above given table and calculate the project's normal distribution(in terms of days).

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20. ...... is not an element of Sensitivity Analysis.

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21. Which one of the following is a cycling error in the Network Logic of PERT/CPM?

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22. The increase in the probability of a failure with the increase in the life of an item is termed _________.

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23. Which among the following is not an element of Linear Programming?

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24. At an interview, the candidates arrive according to the Poisson distribution process with an average time of 10 minutes between each candidate's arrival. The interviewing line is exponentially distributed with a mean time of 5 minutes. On the basis of this information, calculate the average queue length.

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25. The Monte-Carlo simulation technique _________.

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26. Which among the following is not an application of optimization in linear programming?

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27. _________ is the term used to describe the time between starting the first job and finishing the final one.

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28. Study the above table and calculate the range of the random numbers in which the sum of the average value of the demand and the average value of the profit falls.

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29. The above table shows the weekly mortality rates for a certain type of washing machines. Calculate the probability of failure in the 5th week.

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30. A bus arrives at a bus-stand every 10 minutes and the service time is 30 minutes. If the capacity of the bus-stand is 5 buses, calculate the probability of the bus-stand being empty.

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31. Use the property of dominance to find out the value of the saddle point.

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32. The crash cost and the crash time of a project is $50000 and 30 days respectively. The normal cost and the normal time of the same project is $150000 and 180 days respectively. Calculate the cost slope.

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33. Which state of the system in the Queuing theory lays down that the operating characteristics are dependent on time?

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34. Which of the following is a term used to describe the behavior of a customer who leaves the queue impatiently after waiting for some period of time?

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35. The price of a new car is $30000. The annual maintenance cost of the car for the first five years is $8000, $10000, $14000, $18000 and $24000 respectively. If the re-sale value decreases by 5% of the purchase price each year, calculate the best time to have the car replaced.

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36. From the above table, determine which alternative is the best to choose if a person is adopting the Laplace criterion.

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37. Which among the following is a characteristic of Dynamic Programming?

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38. The above table represents a transportation problem. Find the basic feasible solution.

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39. Which among the following classes of decisions is related to the external environment of an organization?

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40. Which of the following types of cost is dependent upon the amount of utilization of resources during the execution of individual activities?

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41. In the above table, 6 jobs are given along with their operation time in minutes. Find out the average processing time.

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42. According to the Poisson distribution process analysis, patients come to a hospital at a mean rate of 50 per hour. The time required to attend a patient has an exponential distribution with a mean of 100 per hour. Assuming that every patient is attended by an individual doctor, what would be the waiting time of one patient?

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43. From the above given table, solve the game by finding the saddle point.

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44. Goal Programming is used to:

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45. A solution containing fewer than (m + n -1) non negative allocations where (m= jobs and n=destinations) is termed ________.

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46. From the above given table, calculate the saddle point.

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47. The simulation technique must be used ________.

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48.

Study the above table and calculate the project's normal distribution(in terms of days).

Calculate the cost of the project if the indirect cost is $100 per day.

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49.

A company makes two products A and B. The profit per unit of the two products is $80 and $100 respectively. Both the products are sold in three cities. The above table indicates total products sold per week in the three cities.

Formulate this product problem in the Linear Programming Form.

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50. The Vogel's approximate method in Linear Programming is used in solving .... problems.

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51. Which among the following is not an application of Dynamic Programming?

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52. Which among the following models are scaled versions of actual objects?

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53. Solve a game, the payoff matrix for which is shown above:

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54. The graphical method for solving transportation problems can be applied to _______ variables.

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55. In an experiment in a laboratory, an accuracy level of 80% is needed with a marginal error of 2% of the true value. Calculate the sample size.

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56. Which activity of PERT/CPM does not utilize any kind of resources?

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57. Which among the following types of float causes a decrease in the float of successor activities?

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58. In which of the following fields is Linear Programming technology not useful?

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59. Using the mid square method to generate pseudo random numbers, calculate the value of number 5695 at level 2, if the value represented by the number at level 0 i.e. Ao = 5695.

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60. From the above given table, calculate the saddle point.

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61. The above table gives the processing time and due data related to five jobs. Calculate the mean flow time.

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62. In the above table, the mortality rates for a certain type of health products have been given. Calculate the probability of failure at the end of the 3rd month.

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63. A petrol pump is opening a customer service centre which will be having only one counter to attend to the people. The manager estimates that the customers will arrive at the rate of 25 per hour. The customer care executive who has been considered for the post can attend customers at the rate of 1 customer every 2 minutes. Assuming Poisson arrivals and exponential service, calculate the average waiting time of the customers.

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64. Which among the following simulation models do not take the time variable into consideration?

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65. From the above table, find the basic feasible solution using the matrix minimum method.

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66. From the above table, determine the best alternative to choose if a person is adopting the optimistic criterion.

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67. From the above table, determine which alternative is the best to choose if a person is adopting the Savage criterion.

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68. A furniture shop has employed only one carpenter whose work varies according to the number of wooden frames he makes. The working rate of the carpenter is randomly distributed approximating a Poisson distribution with a mean rate of ten wooden frames per hour. The carpenter works for 10 hours a day and gets an order of making 5 wooden frames per hour. If the hack-saw used by the carpenter is valued at $20 per hour, determine the equipment utilization.

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69. The initial cost of a machine is $6000. Study the above given table and calculate after how many years of service should the machine be replaced.

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70. From the above table, determine the best alternative to choose if a person is adopting the maximax criterion.

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71. A person comes to a cyber cafe everyday. Sometimes, he has to wait for the cyber cafe to open and at other times, he arrives late. The opening time of the cafe varies from day to day. Study the above table, computed for 8 days, and calculate the average waiting time of that person.

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72. In the north-west corner method of Linear Programming, the empty or open squares are called:

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73. Which of the following is required in order to apply Linear Programming effectively?

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74. In which of the following types of decisions does there exist only one outcome for a decision?

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75. A cinema hall has a single ticket counter. During the peak hours, people arrive at the rate of 50 per hour to watch the movie. The average number of people who get the tickets is 100 per hour. Calculate the probability of the ticket counter being free.

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