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CUET
-- Mathematics - Section B1
Linear Programming
Maximize \(Z=10x_{1}+25x_{2}\), subject to \(0\leq x_{1}\leq 3, 0\leq x_{2}\leq 3, x_{1}+x_{2}\leq 5\).
\(80\) at \((3,2)\)
\(75\) at \((0,3)\)
\(30\) at \((3,0)\)
\(95\) at \((2,3)\)
$Z_{max}=Z(2,3)$
$=10×2+25×3$
$=95$