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Question

The area of the feasible region for the following constraints 3y+x3,x0 and y0will be


A

bounded

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B

unbounded

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C

convex

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D

concave

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Solution

The correct option is B

unbounded


Explanation for Correct Answer:

Given constraints are 3y+x3,x0 and y0

3y+x3(i)

Put x=0 we get,

3y+0=33y=3y=1

Hence the point is 0,1.

Put y=0, We get,

30+x=3x=3

Hence the point is 3,0.

Now put the point of origin (0,0) in the given equation and see if it satisfies the condition.

3(0)+0303

which is not true.

Hence, the given line only covers the area towards its upper side in the first quadrant.

Therefore, the area is unbounded.

Hence, option (B) is the correct .


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