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HomeCBSE Class 12MathematicsLinear Programming › If the feasible region R is bounded, Z has:

If the feasible region R is bounded, Z has:

AOnly a minimum
BNeither of them
CBoth max and min
DOnly a maximum
Answer & Solution
Correct answer: C. Both max and min
1. A bounded region is closed on every side. 2. The objective function is evaluated at each corner. 3. So Z has both a maximum and a minimum on R. 4. The answer is both max and min. _Source: NCERT Class 12 Mathematics, Ch 12 'Linear Programming'_
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