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Which is a vertex of the solution region of \(x\ge 0\), \(y\ge 0\), \(2x+y\le 8\), and \(x+2y\le 8\)?असमानताओं \(x\ge 0\), \(y\ge 0\), \(2x+y\le 8\), \(x+2y\le 8\) के हल क्षेत्र का एक शीर्ष कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\left(\frac{8}{3},\frac{8}{3}\right)\)\(\left(\frac{8}{3},\frac{8}{3}\right)\)
Solving the two oblique lines gives \(x=y=\frac{8}{3}\). This is an inner vertex of the common region.दोनों तिरछी रेखाओं को हल करने पर \(x=y=\frac{8}{3}\) मिलता है। यह संयुक्त क्षेत्र का अंदरूनी शीर्ष है।
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