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If X(1)=(x(1),y(1) and (x(2)=(x(2),y(2))...

If `X_(1)=(x_(1),y_(1)` and (x_(2)=(x_(2),y_(2))` are two optimal solution of a L.P.P then

A

`lambdax_(1)+(1-lambda)x_(2),lambda epsilon R` is also an optimal solution

B

`lambdax_(1)+(1-lambda)x_(2),0le1` is also an optimal solution

C

every L.P.P has an unique optimal solution

D

if an L.P.P has two optimal solutoins then it has infinitely many solution

Text Solution

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The correct Answer is:
B, D
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