Obtain an upper bound for the optimal value in the following problem;(adsbygoogle = window.adsbygoogle || []).push({});

Max (4x_1 + x_2 + 2x_3 + 3x_4 )

2x_1 - x_2 + x_3 - 2x_4 <= 2

7x_1 + x_2 + 5x_3 + 10x_4 <= 4

2x_1 + 3x_2 - x_3 - x_4 <= 2

x_i >= 0 , i= 1,2,3,4

any hint.help. please.

thanks

note: >= means > or equal to

<= means < or equal to

WORK DONE :

I understnad how to find the optimal value...but how do i find the

upper bound?

i dont really understand what is meant by the Upper Bound??

thanks.

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# Homework Help: Duality theory

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