There are infinite feasible regions

H contains the identity elements

JEE Questions for Maths Miscellaneous Quiz 9

0%
2006
0%
2005
0%
2005!
0%
1

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
9
0%
3
0%
0
0%
1

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0
0%
1
0%
-1
0%
1/2

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
1
0%
0
0%
-1
0%
-2

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
There are two feasible regions
0%
There are infinite feasible regions
0%
There is no feasible region
0%
None of the above

For the following shaded area, the linear constraints except x ≥ 0 and y ≥ 0, are

0%
0%
2)
0%
0%

Let X₁ and X₂ are optimal solutions of a L.P.P., then

0%
0%
2)
0%
0%

0%
(3, 2.5)
0%
(2, 3.5)
0%
(2, 2.5)
0%
(1, 2.5)

A company manufactures two types of telephone sets A and B. The A type telephone set requires 2 hour and B types telephone requires 4 hour to make. The company has 800 work hour per day. 300 telephone can pack in a day. The selling prices of A and B type telephones are Rs. 300 and 400 respectively. For maximum profits company produces x telephones of A type and y telephones of B types. Then except x ≥ 0 and y ≥ 0, linear constraints and the probable region of the L.P.P is of the type

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

The maximum value of objective function c = 2x + 3y in the given feasible region, is

0%
29
0%
18
0%
14
0%
15

0%
x = 3
0%
y = 3
0%
z = 15
0%
All the above

0%
84
0%
95
0%
100
0%
96

0%
0%
2)
0%
0%

In any group, the number of improper subgroups is

0%
2
0%
3
0%
Depends of the group
0%
1

In the group G = {2,4,6, 8} under multiplication modulo 10, the identity element is

0%
6
0%
8
0%
4
0%
2

We have to purchase two articles A and B of cost Rs. 45 and Rs. 25 respectively. I can purchase total article maximum of Rs. 1000. After selling the articles A and B, the profit per unit is Rs. 5 and 3 respectively. If I purchase the x and y numbers of articles A and B respectively, then the mathematical formulation of problem is