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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

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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