Statics Test

Result

Statics Test - 3

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Question 1
1 / -0

Directions For Questions

Consider the following LPP:

Maximize 10x – 7y

Subject to x – y ≤ 1

x + y ≥ 3

x, y ≥ 0

...view full instructions

Which of the following is true?

A
The LPP has unique solution.

B
The LPP has infinite number of optimal solutions

C
The LPP has no feasible solution.

D
The LPP is unbounded.

Solution

Feasible region is unbounded. LPP is unbounded.
Question 2
1 / -0

The mean weight of 150 students in 6^th class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. The number of boys and girls in the class are respectively

A
50, 100

B
70, 80

C
40, 110

D
None of these

Solution

Let total number of boys = x
Let total number of girls = y

A. T. Q.;

x + y = 150 ... (i)

and

70x + 55y = 60x + 60y

10x = 5y

y = 2x ... (ii)

Putting the value of y in equation (i),

we get

x = 50 and y = 100