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Title Name  Amity Solved Assignment M.COM 2nd Sem for Decision Science 
University  AMITY 
Service Type  Assignment 
Course  M.Com 
Semester  SemesterII Course: M.Com 
Short Name or Subject Code  Decision Science 
Commerce line item Type  SemesterII Course: M.Com 
Product  Assignment of M.Com SemesterII (AMITY) 
Price 
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Decision Science
Part A
1.Give the role & significance of O.R. in business & industry for scientific decisions.
2. “The primary contribution of the game theory has been its concept rather than its formal application to solving real life problems.” Do you agree? Discuss.
3. What is queuing theory? Describe the different types of costs involved in a queuing system. In what areas of management can queuing theory be applied successfully? Give examples.
4. What do you mean by Simulation? Explain Monte Carlo Simulation in present business decision making.
5. Explain the terms:
(a) Basic feasible solution;
(b) Nondegenerate basic feasible solution;
(c) Optimal solution and
(d) Pivot column
PART B
1.Explain in brief with examples:
(i) North West Corner rule :
(ii) Vogel’s Approximation Method.
2. Show that assignment problems are particular cases of transportation pr Can an assignment problem ever be a non degenerate transportation problem? Explain.
3.“Basic Problem in queuing theory is to strike an economic balance between the service cost and the waiting cost.” Elucidate this statement by taking an example.
Case Study
M/s Gupta chemicals Ltd. Markets its product through five area distributors. The company has three plants the particulars of which are given below:
Plant 
Monthly production capacity (kgs) 
Fixed cost of production (Rs/month) 
Variable cost of production) (Rs./unit) 
P1 
6,000 
2,40,000 
120 
P2 
15,000 
5,00,000 
110 
P3 
22,500 
6,00,000 
90 
The selling price excluding freight is Rs. 250 per kg and the company has commitments to supple the following quantities to the distributors:
Distributors 
Quantity to be supplied (kg.) 
I 
3,750 
II 
3,750 
III 
7,500 
IV 
15,000 
V 
6,000 
The transportation cost, rupees per unit (borne by the manufacturer), for supply for plants to distributor are as given below:
Plant/Distributors 
I 
II 
III 
IV 
V 
P1 
1.2 
1.5 
1.0 
1.5 
1.0 
P2 
1.5 
1.8 
1.2 
1.2 
1.5 
P3 
1.6 
1.7 
1.0 
0.9 
0.5 
1.Determine the optimal tieup between the plants and the distributors and the maximum profit company can make.
PART C
Drinks 
Plant 

G 
J 

Whisky 
1,500 
1,500 
Beer 
3,000 
1,000 
Brandy 
2,000 
5,000 
A market survey indicated that during the month of July, there will be a demand of 20,000 bottles of whisky, 40,000 bottles of beer and 44,000 bottles of brandy. The operating costs per day of plants at G & J are 600 and 400 monetary units. For how many days each plant be run in July so as to minimize the production cost, while still meeting the market demand?
(a) x1= 10, x2= 4, Max Z= 8,800
(b) x1= 12, x2= 4, Max Z= 8,800
(c) x1= 10, x2= 4, Max Z= 4,400
(d) x1= 12, x2= 2, Max Z= 2,200
Machine/Job 
I 
II 
III 
IV 
V 
A 
2 
9 
2 
7 
1 
B 
6 
8 
7 
6 
1 
C 
4 
6 
5 
3 
1 
D 
4 
2 
7 
3 
1 
E 
5 
3 
9 
5 
1 
Find the assignment of machines to jobs that will minimize the total time taken
Action of StoreY 

Action of Store X 

A 
B 
C 
I 
0 
20 
60 

II 
30 
10 
20 
III 
70 
80 
30 
Firm A 

Firm B 
Strategies 
No advertising 
Medium advertising 
Large advertising 
No advertising 
60 
50 
40 

Medium advertising 
70 
55 
45 

Large advertising 
80 
60 
50 
Candidate Y 

Candidate X 
Strategy 
I 
II 
III 
A 
300 
200 
100 

B 
600 
500 
400 

C 
600 
400 
600 
Product 
O1 
O2 
O3 
Profit per tonne (in Rs.) 
A 
3 
1 
3 
1 
B 
 
2 
2 
4 
C 
3 
3 
0 
5 
How many tonnes of each product A, B & C should company produce to maximize the profits?
Manufacturing centre Depot 
A 
B 
C 
D 
E 
Supply 
P 
4 
1 
3 
4 
4 
60 
Q 
2 
3 
2 
2 
3 
35 
R 
3 
5 
2 
4 
4 
40 
Demand 
22 
45 
20 
18 
30 
135 
Calculate the minimum total transportation cost.
Drugs 
X 
Y 
Z 
A 
50% 
30% 
20% 
B 
30% 
30% 
40% 
The total available quantities (gms.) of different ingredients are 1,600 in X, 1400 in Y & 1200 in Z. The costs of X, Y & Z per gm are Rs. 8, Rs. 6 & Rs. 4 respectively.
Estimate the most profitable quantities of A & B to be produced, using the simplex method.
(a) Maximum Value of Z= 20,000; X1= 2000 & X2= 2000.
(d) Maximum Value of Z= 10,000; X1= 2000 & X2= 2000.
Jobs/Machines 
I 
II 
III 
IV 
V 
A 
11 
17 
8 
16 
20 
B 
9 
7 
12 
6 
15 
C 
13 
16 
15 
12 
16 
D 
21 
24 
17 
28 
26 
E 
14 
10 
12 
11 
15 
Find out minimum cost possible through optimal assignment of machines to jobs.
Warehouse/ stores 
I 
II 
III 
IV 
Supply 
A 
7 
3 
5 
5 
34 
B 
5 
5 
7 
6 
15 
C 
8 
6 
6 
5 
12 
D 
6 
1 
6 
4 
19 
Demand 
21 
25 
17 
17 
80 
Firm B 

Firm A 
3 
1 
4 
6 
7 
1 
8 
2 
4 
12 

16 
8 
6 
14 
12 

1 
11 
4 
2 
1 
Strategy 
B1 
B2 
B3 
B4 
A1 
16 
60 
56 
58 
A2 
20 
28 
18 
24 
A3 
24 
8 
0 
24 