हल-क्षेत्र \(2x+y\leq 12\), \(x+2y\leq 12\), \(x\geq 0\), \(y\geq 0\) के लिए (x+y) का अधिकतम मान क्या है?
For the solution region \(2x+y\leq 12\), \(x+2y\leq 12\), \(x\geq 0\), \(y\geq 0\), what is the maximum value of (x+y)?
Explanation opens after your attempt
Correct Answer
B. (8)
Concept
The two slant lines intersect at ((4,4)). Checking (x+y) at the corner points gives maximum (8).
Why this answer is correct
The correct answer is B. (8). The two slant lines intersect at ((4,4)). Checking (x+y) at the corner points gives maximum (8).
Exam Tip
दोनों तिरछी रेखाओं का प्रतिच्छेद ((4,4)) है। कोनों पर (x+y) जांचने से अधिकतम (8) मिलता है।
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