The minimum value of\[z=2{{x}_{1}}+3{{x}_{2}}\] subject to the constraints\[2{{x}_{1}}+7{{x}_{2}}\ge 22\],\[{{x}_{1}}+{{x}_{2}}\ge 6\],\[5{{x}_{1}}+{{x}_{2}}\ge 10\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\] is [MP PET 2003]

The minimum value of\[z=2{{x}_{1}}+3{{x}_{2}}\] subject to the constra

1.	The minimum value of\[z=2{{x}_{1}}+3{{x}_{2}}\] subject to the constraints\[2{{x}_{1}}+7{{x}_{2}}\ge 22\],\[{{x}_{1}}+{{x}_{2}}\ge 6\],\[5{{x}_{1}}+{{x}_{2}}\ge 10\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\] is [MP PET 2003]
A.	14
B.	20
C.	10
D.	16
Answer» B. 20

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The minimum value of\[z=2{{x}_{1}}+3{{x}_{2}}\] subject to the constraints\[2{{x}_{1}}+7{{x}_{2}}\ge 22\],\[{{x}_{1}}+{{x}_{2}}\ge 6\],\[5{{x}_{1}}+{{x}_{2}}\ge 10\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\] is [MP PET 2003]

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