1. S R Luthra Institute of Management, Surat
Quantatitive Analysis – 2 (Class Test)
Total Time : 60 Minutes Date 15 / 3 / 2012 Total Marks : 30
 Each question carries 10 marks. Attampt any 3 question
Q – 1 Three grades of coal A, B and C contains Phosphorus and ash as impurities and used by GSFC (Guj. State
Fertiliser Corp.) for boiler. As per GPCB (Guj. Pollution Control Board) coal should not contain 0.33%
Phosphorus and 1.6% ash. The percentage of impurities and heat energy joules per ton of coal are given as
under. Formulate LPP
Coal Grade Phosphorus (%) Ash (%) Heat Energy (Joules per Ton)
A 0.12 1.60 120
B 0.45 1.98 165
C 0.22 1.20 146
Q – 2 A company has 6 machines operated by six operators. Assign one machine each to one operator so as to
maximise the production. The follings are production units per hour. Also calculate production per day, if
company runs for 8 hours a day
Operator O1 O2 O3 O4 O5 O6
Machine
M1 9 22 58 11 19 27
M2 43 78 72 50 63 48
M3 41 28 91 37 45 33
M4 74 42 27 49 39 32
M5 36 11 57 22 25 18
M6 13 56 53 31 17 28
Q – 3 Maximise Z = X1 + 4 X2
STC 2 X 1 + 4 X2 ≤ 7 5 X1 + 3 X2 ≤ 15 X1, X2 ≥ 0 and are integer
Coeff. Of Basic X1 X2 S1 S2 Solution
B.V. in O.F. Variable
4 X2 0 1 0 0 1
0 S2 0 0 - 5/2 1 9/2
0 X1 1 0 1/2 0 3/2
Q – 4 Maximise Z = X1 + 4 X2
STC 2 X 1 + 4 X2 ≤ 7 5 X1 + 3 X2 ≤ 15 X1, X2 ≥ 0 and are integer

2. Coeff. Of Basic X1 X2 S1 S2 Solution
B.V. in O.F. Variable
4 X2 1/ 2 1 1/4 0 7/4
0 S1 7/2 0 - 3/4 1 39 / 4
A. Calculate the range of X2 to keep optimum solution unchanged.
B. Calculate the range of X1 to keep optimum solution unchanged.
** AAL is Wellll **