JEE Main & Advanced
Mathematics
Linear Programming
Question Bank
Linear Programming
question_answer
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
Correct Answer:
A
Solution :
Obviously, at point (4, 2), the minimum value of \[z=2{{x}_{1}}+3{{x}_{2}}=2(4)+3(2)=14\].