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MTH601 Fall 2018 Final Term Papers Pattern & Questions 23 February 2019 to 06 March 2019 & Helping Material

MTH601 Fall 2018 Final Term Papers Pattern & Questions 23 February 2019 to 06 March 2019 & Helping Material

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MTH601 Today Paper 

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Mth601 my paper
-Calculate discount factor ,new machine cost and discount rate per year given?
-calculate in which year machine replaced new machine cost and discount rate per year given?
- problem given in which x and y operation rate,profit given so convert into LP model?
-primal objective function characteristics given like ><,minimum maximum and want to convert into dual?
-Explain linear programming model convert into alternate optimal option 
By 1 graphical method 2 two phase method?
-inventory holding,ordering,cost,demand , optimum quantity given ,calculate order per year and time between order ?
-in two phase method why we convert objective function into minimization in the first phase?
Table supply and demand given calculate solution is equal?
-Table given without supply and demand and want to explain solution is valid? 
- 2 Equation are given and want to add slack and artificial variable?

March 2019 final paper of mth601

Q Find the initial feasible solution of a transportation problem whose origins-destinations along with the cost of transporting each commodity are given as;

Origins/Destinations

P

Q

Supply

A

7

3

2

B

5

2

3

C

9

4

3

Demand

3

5

 

 

 

 

 

 

 

 

 

 

 

    Q From the following data, determine:

(i) Annual Usage in Descending Order

(ii) Rank

(iii) Cumulative Usage value

(iv) %Cumulative Usage value

(v) ABC Category of each item.                                (01+01+01+01+01)

 

Item#

1

2

3

4

5

6

7

8

Units

7000

24000

1500

600

38000

40000

6000

3000

Unit cost(Rs)/year

5

3

10

22

1.5

0.5

0.2

3.5

Annual Usage Cost

35000

72000

15000

13200

57000

20000

1200

10500

 

Q By using two phase method, express the first phase of the following linear programming problem in terms non-basic variables.

                    

                           Minimize Z = 3x1 + 2x2 + 4x3

                Subject to

                                 2x1 +   x2 + 3x3 = 60

                                 3x1 + 3x2 + 5x3 ≥ 120

                                   x1,x2,x3   ≥ 0

Q A machine cost Rs. 500. Operations and maintenance costs are zero for the first year and increases by Rs. 100 every year. If money is worth 5% every year, determine the best age at which the machine should be replaced. The resale value of the machine is negligibly small.

Q Give the simultaneous contrast of Dual when some features of Primal form of a Linear Programming problem are given as below;

Primal

Dual

(Maximize, Minimize)

 

Coefficients of Objective Function

 

Constraints of type (≥,≤)

 

Unrestricted decision variable

 

LHS coefficient matrix of Constraints.

 

 

Q Give at least three simultaneous contrasts between Simplex method with degeneracy and without degeneracy.

Simplex method without degeneracy

 

Simplex method with degeneracy

 

 

 

 

 

 

 

 

 

 

 

 

Q Following are the frequency distribution curves of two types of activities. Describe which one of these is feasible for PERT and which for CPM?

 

 

 

Q A company has a machine whose cost is Rs. 30,000. Its maintenance cost and resale value at the end of different years are as given below:

 

Years.

1

2

3

4

5

6

Maintenance Cost.

4500

4700

5000

5500

6500

7500

Resale Value

27000

25300

24000

21000

18000

13000

 

Determine capital cost for each year.

 

Q State principle of optimality (optimal policy) for dynamic programming.

 

Q Demand rate for a particular item is 9600 units / year, ordering cost is Rs. 100 per order and the holding cost is Rs. 9.6 / item / year. Find the economic order quantity.

   

Q Minimize Z = 2x1+3x2

  Subject to:

                  0.5x1+0.25x2 ≤4    

                       x1+   3x2   ≥20                

                       x1+     x2   =10   

                     x1,x2≥0

Put the above linear programming problem in standard form.

                                   

   Q          

                1              2              3              4              Supply

1              10

5              2

10           20

                11

                15

2              12           7

5              9

15           20

5              25

3              4

7              14           16

                18

10           10

Demand               5              15           15           15          

 

To find optimality condition, we use UV Multiplier Process.

Find   a)   U1 + V1

  1. b) U1 + V2

 

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