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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 originsdestinations 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 nonbasic variables.
Minimize Z = 3x_{1} + 2x_{2} + 4x_{3}
Subject to
2x_{1} + x_{2} + 3x_{3} = 60
3x_{1} + 3x_{2} + 5x_{3} ≥ 120
x_{1},x_{2},x_{3} ≥ 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 = 2x_{1}+3x_{2}
Subject to:
0.5x_{1}+0.25x_{2} ≤4
x_{1}+ 3x_{2} ≥20
x_{1}+ x_{2} =10
x_{1},x_{2}≥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
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