Firstranker's choice
RAN-3285
--- Content provided by FirstRanker.com ---
S.Y.B.A. (Sem.-4) Examination
March / April - 2019
Statistics : Higher : Paper IX
Total Marks: 50
Instructions
--- Content provided by FirstRanker.com ---
(1) Fill up strictly the details of signs on your answer book
Name of the Examination: S.Y.B.A. (Sem.-4)
Name of the Subject : Statistics : Higher : Paper IX
Subject Code No.:
(2)
--- Content provided by FirstRanker.com ---
(3)
(4)
1. Answer in short of the following question: 10
(1) Define : (i) Constraints (ii) Feasible solution
(2) State the limitations of linear programming problem.
--- Content provided by FirstRanker.com ---
(3) Solve the assignment problem given below.
Persons
Jobs
| P1 | P2 | P3 | |
|---|---|---|---|
| I | 5 | 0 | 0 |
| I2 | 1 | 3 | 0 |
| I3 | 0 | 0 | 6 |
(4) The points of feasible solution in linear programming problem are (0, 0) , (0,3),(1.6,2.4)(4,0).Obtain the maximum value of objective function z=5x+ 7y.
(5) Solve the following transportation problem by row minima method.
--- Content provided by FirstRanker.com ---
Origin Destination Supply
| A | B | C | ||
|---|---|---|---|---|
| I | 8 | 7 | 5 | 5 |
| II | 4 | 3 | 4 | 7 |
| III | 5 | 2 | 9 | 8 |
| Demand | 10 | 2 | 8 |
2. (a) Give the meaning of linear programming problem and state its mathematical formulation.
(b) Objective function z = 3x1 + 4x2 , become maximize when constraints are
x1,x2=0
--- Content provided by FirstRanker.com ---
5x1+4x2 = 200
3x1+5x2 = 150
5x1+4x2 = 100
8x1+4x2 = 80
Solve the using graphical method.
--- Content provided by FirstRanker.com ---
2. (a) Give the meaning of operation research and state uses of it.
(b) Solve the linear programming problem by using graphical method.
3x+y=15
x+2y=12
3x+2y=24
--- Content provided by FirstRanker.com ---
x=0,y = 0 and objective-function z = 30x + 50y become minimum.
3. (a) Give meaning of transportation problem and state its mathematical formulation.
(b) Solve the following T.P problem by using matrix minima method.
Factories
Godown A B C Supply
--- Content provided by FirstRanker.com ---
| A | B | C | ||
|---|---|---|---|---|
| I | 7 | 12 | 9 | 16 |
| II | 8 | 10 | 6 | 10 |
| III | 10 | 9 | 12 | 12 |
| Demand | 8 | 11 | 19 | 38 |
OR
3. (a) Explain matrix minima method for transportation problem.
(b) Obtain a basic feasible solution of the following transportation problem by Vogel’s method.
Godown Sales Depots Supply
| X | Y | Z | ||
|---|---|---|---|---|
| A | 3 | 7 | 1 | 20 |
| B | 2 | 9 | 12 | 30 |
| C | 10 | 2 | 5 | 50 |
| Demand | 35 | 15 | 50 |
4. (a) Give the meaning of assignment problem and state its mathematical formulation.
--- Content provided by FirstRanker.com ---
(b) Minimize the line by solving given assignment problem.
Jobs Persons
| P | Q | R | S | |
|---|---|---|---|---|
| A | 12 | 15 | 18 | 8 |
| B | 13 | 10 | 9 | 14 |
| C | 10 | 12 | 15 | 13 |
| D | 7 | 8 | 9 | 14 |
OR
4. (a) Write Hungarian method for solving assignment problem.
(b) Four different jobs can be done on four different machines.
--- Content provided by FirstRanker.com ---
The below matrix gives the cost in rupees of producing job on each machine.
Machines
Worker
| I | II | III | IV | |
|---|---|---|---|---|
| A | 5 | 7 | 11 | 6 |
| B | 8 | 5 | 9 | 6 |
| C | 4 | 7 | 10 | 7 |
| D | 10 | 4 | 8 | 3 |
Assign jobs so as to minimize total assignment cost.
--- Content provided by FirstRanker.com ---
This download link is referred from the post: VNSGU BA Last 10 Years 2011-2021 Previous Question Papers (Veer Narmad South Gujarat University)
--- Content provided by FirstRanker.com ---