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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)?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?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (12)(12)
Checking (x+2y) at the corners gives the maximum (12) at ((2,5)). For a linear expression, checking corners is sufficient.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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