1.

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

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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