1.

By graphical method, the solution of linear programming problem Maximize \[z=3{{x}_{1}}+5{{x}_{2}}\] Subject to \[3{{x}_{1}}+2{{x}_{2}}\le 18\], \[{{x}_{1}}\le 4\], \[{{x}_{2}}\le 6\],\[{{x}_{1}}\ge 0\],\[{{x}_{2}}\ge 0\] is             [MP PET 1996]

A.                 \[{{x}_{1}}=2,\ {{x}_{2}}=0,\ z=6\]           
B.                 \[{{x}_{1}}=2,\ {{x}_{2}}=6,\ z=36\]
C.                 \[{{x}_{1}}=4,\ {{x}_{2}}=3,\ z=27\]         
D.                 \[{{x}_{1}}=4,\ {{x}_{2}}=6,\ z=42\]
Answer» C.                 \[{{x}_{1}}=4,\ {{x}_{2}}=3,\ z=27\]         


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