Explain in detail “Research Process” with example Q. 1 (b) What is Hypothesis? Explain Null and Alternative Hypothesis in detail.
Use Graphical method to solve following Linear Programming Problem: Max. Z = 2X + 1.5X12 STC 36X + 24X ≤ 57612 X + X ≤12 X , X ≥ Q. 2 (b) What is sampling? Explain any three non-probability sampling techniques in detail.
[7 marks]Explain “Survey technique” to collect primary data in detail.
[7 marks]Explain in detail “Type Iand Type II errors”
[7 marks]Write dual for the following: Max Z = 4X + 5X12 STC 3X + X ≤12 X + 2X ≤12 5X + 2X ≤12 X , X ≥
[12 marks]Write and explain components of “Research Report Writing”
[7 marks]In the modification of plant layout of a factory, four machines M1, M2, M3 and M4 are to be installed. There are five places A, B, C, Dand Eavailable. Due to limited space, M2 cannot be placed at Cand M3 cannot be placed at A. The cost of locating a machine at a place (in Rs. 100) is as follows. Find optimal assignment schedule. A B C D E M1 9 11 15 10 11 M2 12 9 -- 10 9 M3 -- 11 14 11 M4 14 8 12 7 M5 0 0 0 0 0
[8 marks]Find Initial Feasible Solution (Total cost of transportation) for the following transportation problem using North-west Corner rule. The following figures indicate Cost of transportation (in Rs. per unit). W1 W2 W3 W4 Supply F1 14 25 45 5 F2 65 25 35 55 81 F3 35 3 65 15 16 Demand 4 7 6 13 30
[6 marks]What is operations research? Explain the nature of operations research in detail.
[7 marks]What is integer programming? Explain types of integer programming in detail.
[7 marks]Producer of two types of products found that the cost of product Ais Rs. per unit and that of product Bis Rs. 4 per unit. It is found that product Aneeds 3 man hours and product Bneeds 2 man hours. There are total 150 man hours available with company. Also product Arequires 1 Kg. of Raw material per unit and product Brequires 2 Kg. of Raw material per unit. Assuming total 400 Kg. of Raw material available with company, formulate LPP.
[7 marks]What is Monte Carlo simulation? Explain advantages and limitations of Monte Carlo simulations.
[7 marks]Solve the following network and find out shortest path to reach from point “s” to point “t”.
[7 marks]What is qualitative and quantitative research design? Explain difference between them.
[7 marks]Atravelling salesman has to visit 5 cities. He wants to start from city A, visit each city once and return back to city A. The travelling cost in Rs. thousand, as given under: A B C D E A - 2 5 7 1 B 6 - 3 8 C 8 7 - 4 D 12 4 6 - E 1 3 2 8 -
[5 marks]