Q1:

The first algorithm for Linear Programming was given by:

Q2:

A feasible solution to the linear programming problem should:

Q3:

Consider the following statements:

Linear programming model can be applied to- 

1. Line balancing problem

2. Transportation problem 

3. Project management 

Of these, choose correct statements:

Q4:

Solution to Z = 4x₁ + 6x₂

x₁ + x₂ $\le$ 4;

3x₁ + x₂ $\le$ 12;

3x₁, x₂ $\ge$ 12; is:

Q5:

In order for a transportation matrix which has six rows and four columns, not to be degenerate, how much must be the number of allocated cells in the matrix?

Q6:

When there are 'm' rows and 'n' columns in a transportation problem, degeneracy is said to occur when the number of allocations is:

Q7:

Match List-I (O.R. Techniques) with List-II (Application) and select the correct answer using the codes given below the lists:

List – I	List – II
A. Linear programming	1. Warehouse location decision
B. Transportation	2. Machine allocation decision
C. Assignment	3. Product mix decision
D. Queuing theory	4. Project management decision
	5. Number of servers decision

 

Q8:

In value engineering important consideration is given to:

Q9:

In value engineering the term 'value' refers to:

Q10:

Consider the following basic steps involved in value analysis: 

1. Create 

2. Blast  

3. Refine 

The correct sequence of these steps is:

Q11:

Consider the following phases:

1. Information phase

2. Evaluation phase 

3. Creative phase

4. Investigation phase 

The correct sequence of these phases in value engineering is:

Q12:

In a single serve infinite population queuing model, arrivals follow a Poisson distribution with mean $\lambda$= 4 per hour. The service times are exponential with mean service time equal to 12 minutes. The expected length of the queue will be:

Q13:

The cost of providing service in a queuing system increases with

Q14:

Which of the following distributions is followed by the number of arrivals in a given time in a single-server queuing model?

Q15:

Which one of the following statements is correct?

 Queuing theory is applied best in situations where

Q16:

The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight customers per hour. The reservation clerk at this counter takes six minutes per customer on an average with an exponentially distributed service time. The average number of the customers in the queue will be:

Q17:

A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a 'first come first served' queue discipline. Breakdowns occur on an average of 3 machines per day with a range of zero to eight. The maintenance crew can service an average of 6 machines per day with a range of zero to seven. The mean waiting time for an item to be serviced would be:

Q18:

Simplex method of solving linear programming problem uses:

Q19:

Match List-I (Persons with whom the models are associated) with List-II (Models) and select the correct answer:

List – I	List – II
A. J Von Newmann	1. Waiting lines
G. Dantzig	2. Simulation
A.K. Erlang	3. Dynamic programming
Richard Bellman	4. Competitive strategies
	5. Allocation by simplex method

 

Q20:

Two alternative methods can produce a product first method has a fixed cost of Rs. 2000/- and variable cost of Rs. 20/- per piece. The second method has a fixed cost of Rs. 1500/- and a variable cost of Rs. 30/-. The break even quantity between the two alternatives is:

Q21:

In the production of a product the fixed costs are Rs. 6,000/- and the variable cost is Rs. 10/- per product. If the selling price of the product is Rs. 12/-, the break even volume of products to be made will be:

Q22:

Match List-I (Symbols) with List-II (Meaning) and select the correct answer using the codes given below the Lists; related to P/V chart on Break-Even Analysis as shown in the above figure:

List-I		List-II
A.	OR	1.	Profit
B.	PQ	2.	Break-Even Point
C.	SS	3.	Profit/Volume Ratio
D.	RQ	4.	Cost for new design
		5.	Fixed cost

 

Q23:

A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs. 3 and Rs. 5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be:

Q24:

A component can be produced by any of the four processes I, II, III and IV. Process I has a fixed cost of Rs. 20 and variable cost of Rs.3 per piece. Process II has a fixed cost Rs. 50 and variable cost of Re. 1 per piece. Process III has a fixed cost of Rs. 40 and variable cost of Rs. 2 per piece. Process IV has a fixed cost of Rs. 10 and variable cost of Rs. 4 per piece. If the company wishes to produce 100 pieces of the component, from economic point of view it should choose:

Q25:

Process X has fixed cost of Rs. 40,000 and variable cost of Rs. 9 per unit whereas process Y has fixed cost of Rs.16, 000 and variable cost of Rs. 24 per unit. At what production quantity, the total cost of X and Yare equal?

Q26:

Which one of the following is not a technique of Long Range Forecasting?

Q27:

The demand and forecast for February are 12000 and 10275, respectively. Using single exponential smoothening method (smoothening coefficient = 0.25), forecast for the month of March is:

Q28:

Setup costs do not include

Q29:

There are two products P and Q with the following characteristics

Product	Demand (Units)	Order Cost (Rs/order)	Holding Cost (Rs./unit/year)
P Q	100 400	50 50	4 1

The economic order quantity (EOQ) of products P and Q will be in the ratio

Q30:

In computing Wilson's economic lot size for an item, by mistake the demand rate estimate used was 40% higher than the true demand rate. Due to this error in the lot size computation, the total cost of setups plus inventory holding per unit time would rise above the true optimum by approximately:

Q31:

Match List-I (PPC functions) with List-II (Activity) and select the correct answer using the codes given below the lists:

	List-I		List-II
A.	Capacity planning	1.	Listing products to be assembled and when to be delivered
B.	Shop floor control	2.	Rescheduling orders based on production priorities
C.	Master production schedule	3.	Closure tolerances
D.	Material requirement planning	4.	Monitor progress of orders and report their status
		5.	Planning of labour and equipment

 

Q32:

The table given details of an assembly line:

Work station	I	II	III	IV	V	VI
Total is the time at the workstation (in minutes)	7	9	7	10	9	6

What is the line efficiency of the assembly line?

Q33:

An operations consultant for an automatic car wash wishes to plan for enough capacity to handle 60 cars per hour. Each car will have a wash time of 4 minutes, but there is to be a 25% allowance for setup time, delays and payment transactions. How many car wash stalls should be installed?

Q34:

Which one of the following statements is not correct?

Q35:

A PERT activity has an optimistic time estimate of 3 days, a pessimistic time estimate of 8 days, and a most likely time estimate of 10 days. What is the expected time of this activity?

Q36:

Vehicle manufacturing assembly line is an example of:

Q37:

Match List-I (Activity) with List-II (Symbol) and select the correct answer using the codes given below the lists:

	List-I		List-II
A	A man is doing some productive work	1.
B.	A load is moving from one place to another	2.
C.	A hand is not accomplishing any thing and is waiting	3.
D.	A hand is holding an object	4.
		5.

 

Q38:

A welding operation is time-studied during which an operator was pace-rated as 120%. The operator took on an average 8 minutes for producing the weld-joint. If a total of 10% allowances are allowed for this operation, the expected standard production rate of the weld-joint (in units per 8 hour day) is:

Q39:

Match List-I (Charts) with List-II (Applications) and select the correct answer using the codes given below the lists:

	List-I		List-II
A.	Operation process chart	1.	Scheduling project operations
B.	Flow process chart	2.	To study backtracking and traffic congestion
C.	Flow diagram	3.	To analyze indirect costs such as material handling cost
D.	PERT chart	4.	To study relations between operations

 

Q40:

Direction: Four jobs are to be processed on a machine as per data listed in the table.

Job	Processing time (in days)	Due date
1	4	6
2	7	9
3	2	19
4	8	17

Using the Shortest Processing Time (SPT) rule, total tardiness is: