Question 1 : Consider the constraints for a LPP 7a + 3b ≤ 24 and b ≤ 2. Given a, b ≥ 0. The number of vertex points in the feasibility convex region are?
- No Feasible region
Question 2 : The unit of traffic intensity is:
Question 3 : Arrival rate of telephone calls at a telephone booth is according to Poisson distribution, with an average time of 9 minutes between consecutive arrivals. The length of telephone call is exponentially distributed with a man of 3 minutes. Find the average queue length that forms from time to time
- 1.5 persons
- 1 person
- 2.5 persons
- 12.5 persons
Question 4 : In linear programming extreme points are:
- variables representing unused resources
- variables representing an excess above a resource requirement
- all the points that simultaneously satisfy all the constraints of the model
- corner points on the boundary of the feasible solution space
Question 5 : Consider the constraints for a LPP 3a + 5b =15 and 5a + 2b = 10. Given a, b ≥ 0. The number of vertex points in the feasibility convex region are?
Question 6 : In a departmental store one cashier is there to serve the customers and the customers pick up their needs by themselves. The arrival rate is 9 customers for every 5 minutes and the cashier can serve 10 customers in 5 minutes. Assuming Poisson arrival rate and exponential distribution for service rate. Find average number of customers in the system.
- 0.11 customers
- 9 customers
- 11 customers
- 0.9 customers
Question 7 : Four people A, B, C and D are standing on one bank of a river and wish to cross to the opposite bank using a canoe. The canoe can hold maximum 2 people at a time. A can row across in 2 min, B takes 4 min, C takes 7 min and D takes 12 min. If two people are in the canoe, the slower person dictates the crossing time. What is the smallest time to move all 4 people to the other side of the river?
- 28 min
- 27 min
- 25 min
- 26 min
Question 8 : Having more than one shipping distribution but with the same total cost is known as:
- a prohibited solution
- an unequal solution
- an alternative optimal solution
- a transshipment solution
Question 9 : If a problem can be broken into sub-problem which are reused several times, the problem possesses ……………property.
- Overlapping sub-problem
- Optimal substructure
Question 10 : In a two person zero sum game, the following does not hold correct:
- Row player is always a loser
- Column Player is always a winner.
- Column player always minimizes losses
- If one loses, the other gains.
Question 11 : Find a recurrence relation and initial conditions for 1, 5, 17, 53, 161, 485…
- an=3an−1 + 2 and a0 = 0
- an=3an−1 - 2 and a0 = 0
- an=3an−1 + 2 and a0 = 1
- an=3an−1 - 2 and a0 = 1
Question 12 : Consider the constraints for a LPP 7a + 3b ≤ 24, a + 2b ≤ 6 and b ≤ 6. Given a, b ≥ 0. The number of vertex points in the feasibility convex region are?
Question 13 : The EOQ for the following data Annual usage = 1000 pieces Expending cost = Rs. 4 per order Cost per piece = Rs. 250 Inventory holding cost= 20% of average inventory Ordering cost = Rs. 6 per order Material holding cost= Re.1 per piece
Question 14 : For which of the following problems is most suitable for Probabilistic Dynamic problem solving method?
- Distributing medical teams to countries
- Scheduling employment levels
- Winning in Las Vegas
- Stagecoach problem
Question 15 : Re-order level of an item is always
- Less than its minimum stock
- Less than its maximum stock
- More than its maximum stock
- More than its minimum stock
Question 16 : One of the assumption in the game theory is—
- All players act rationally and intelligently
- Winner alone acts rationally
- Loser acts intelligently
- Both the players believe luck
Question 17 : What will be the average number of empty space in the lorry
Question 18 : Linear relationships representing a restriction on decision making in a linear programming model are known as
- objective function
- extreme points
- slack variables
Question 19 : Three people A, B, and C are standing on one bank of a river and wish to cross to the opposite bank using a canoe. The canoe can hold maximum 2 people at a time. A can row across in 1min, B takes 6min and C takes 12min. If two people are in the canoe, the slower person dictates the crossing time. What is the smallest time to move all 3 people to the other side of the river?
- 19 min
- 12 min
- 18 min
- 13 min
Question 20 : In the Simplex method to convert a constraint of type ≤, to equation form, we need to add what type of variable?
- surplus variable
- slack variable
- artificial variable
- dual variable
Question 21 : Determine the idle time of the service facility
- 1 min
- 2 min
- 3 min
- 0 min
Question 22 : A company produces two products: Product A and Product B. Each product must go through two processes: assembly and painting. The times required (in minutes) for each product in each process as well as the per unit profit for each product are shown below: Product A B Revenue $ 27.00 $ 30.00 Unit Assembly Time (minutes) 3 4.5 Unit Painting Time (minutes) 6 3 The company has 60 hours of assembly time and 80 hours of painting time available each week. If a linear programming model is used to determine the optimal number of Products A and B to produce next week, the optimal number of Product B’s to produce next week would be
Question 23 : A contractor has to supply 10,000 bearings per day to an automobile manufacturer. He finds that, when he starts production run, he can produce 25,000 bearing per day. The cost of holding a bearing in stock for a year is Rs. 2 and set up cost of a production run is Rs. 1800. How frequently should production run be made
- 10.44 days
- 11.44 days
- 12 days
- 11 days
Question 24 : If a two person zero sum game is converted to a Linear Programming Problem,
- Number of variables must be two only
- There will be no objective function
- Row player represents Primal problem, Column player represent Dual problem
- Number of constraints is two only