प्रथम चतुर्थांश में \(x+2y\le 8\), \(2x+y\le 8\) के हल क्षेत्र में (x+y) का अधिकतम मान कहां मिलेगा?
In the first-quadrant solution of \(x+2y\le 8\), \(2x+y\le 8\), where will the maximum value of (x+y) occur?
Explanation opens after your attempt
Correct Answer
D. (\left\(\frac{8}{3},\frac{8}{3}\right\))
Concept
The intersection is (\left\(\frac{8}{3},\frac{8}{3}\right\)), where \(x+y=\frac{16}{3}\) is maximum. A linear expression attains its extreme value at a vertex.
Why this answer is correct
The correct answer is D. (\left\(\frac{8}{3},\frac{8}{3}\right\)). The intersection is (\left\(\frac{8}{3},\frac{8}{3}\right\)), where \(x+y=\frac{16}{3}\) is maximum. A linear expression attains its extreme value at a vertex.
Exam Tip
रेखाओं का प्रतिच्छेद (\left\(\frac{8}{3},\frac{8}{3}\right\)) है और वहां \(x+y=\frac{16}{3}\) अधिकतम है। रैखिक व्यंजक का चरम मान किसी शीर्ष पर मिलता है।
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