हल-क्षेत्र \(x\leq 4\), \(y\leq 5\), \(x+y\leq 7\), \(x\geq 0\), \(y\geq 0\) में (x+2y) का अधिकतम मान क्या है?
In the solution region \(x\leq 4\), \(y\leq 5\), \(x+y\leq 7\), \(x\geq 0\), and \(y\geq 0\), what is the maximum value of (x+2y)?
Explanation opens after your attempt
Correct Answer
A. (12)
Concept
Checking (x+2y) at the corners gives the maximum (12) at ((2,5)). For a linear expression, checking corners is sufficient.
Why this answer is correct
The correct answer is A. (12). Checking (x+2y) at the corners gives the maximum (12) at ((2,5)). For a linear expression, checking corners is sufficient.
Exam Tip
कोनों पर (x+2y) जांचने से ((2,5)) पर अधिकतम (12) मिलता है। रैखिक व्यंजक के लिए कोनों की जांच पर्याप्त होती है।
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