हल-क्षेत्र \(x+y\geq 6\), \(x+2y\geq 8\), \(x\geq 0\), \(y\geq 0\) में (2x+y) का न्यूनतम मान क्या है?
In the solution region \(x+y\geq 6\), \(x+2y\geq 8\), \(x\geq 0\), and \(y\geq 0\), what is the minimum value of (2x+y)?
Explanation opens after your attempt
Correct Answer
C. (6)
Concept
Among boundary corner-like points, (2x+y=6) at ((0,6)) is the smallest. Even in an unbounded region, a minimum often occurs at a boundary corner.
Why this answer is correct
The correct answer is C. (6). Among boundary corner-like points, (2x+y=6) at ((0,6)) is the smallest. Even in an unbounded region, a minimum often occurs at a boundary corner.
Exam Tip
कोनों जैसे सीमा-बिंदुओं में ((0,6)) पर (2x+y=6) सबसे छोटा है। सीमा रहित क्षेत्र में भी न्यूनतम अक्सर किसी सीमा-कोने पर मिलता है।
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