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For the solution region (y\geq 2), (x\geq 1), (x+2y\leq 11), and (2x+y\leq 10), what is the maximum value of (x+y)?असमानताओं (y\geq 2), (x\geq 1), (x+2y\leq 11), (2x+y\leq 10) के हल-क्षेत्र में (x+y) का अधिकतम मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (7)(7)
The key corner is the intersection ((3,4)) of the two slant lines. Checking (x+y) at the corners gives the maximum (7).मुख्य कोना दोनों तिरछी रेखाओं का प्रतिच्छेद ((3,4)) है। कोनों पर (x+y) जांचने से अधिकतम (7) मिलता है।
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