If the minimum value of an objective function Z=a x+ by occurs at… - Vidyadip

Question

If the minimum value of an objective function $Z=a x+$ by occurs at two points $(3,4)$ and $(4,3)$ then

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Answer

Since, minimum value of $Z=a x+b y$ occurs at two points $(3,4)$ and $(4,3)$.
$\therefore \quad 3 a+4 b=4 a+3 b \Rightarrow a=b$

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