यदि असमानताओं \(3x+y\leq 21\), \(x+3y\leq 21\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र है, तो (x-y) का अधिकतम मान क्या है?

If the solution region is \(3x+y\leq 21\), \(x+3y\leq 21\), \(x\geq 0\), and \(y\geq 0\), what is the maximum value of (x-y)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

At the corner ((7,0)), (x-y=7), which is the largest value. For a linear expression, check the corner points.

Step 2

Why this answer is correct

The correct answer is C. (7). At the corner ((7,0)), (x-y=7), which is the largest value. For a linear expression, check the corner points.

Step 3

Exam Tip

कोनों में ((7,0)) पर (x-y=7) मिलता है जो सबसे बड़ा है। रैखिक व्यंजक का अधिकतम कोनों पर जांचें।

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Mathematics Answer, Explanation and Revision Hints

यदि असमानताओं \(3x+y\leq 21\), \(x+3y\leq 21\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र है, तो (x-y) का अधिकतम मान क्या है? / If the solution region is \(3x+y\leq 21\), \(x+3y\leq 21\), \(x\geq 0\), and \(y\geq 0\), what is the maximum value of (x-y)?

Correct Answer: C. (7). Explanation: कोनों में ((7,0)) पर (x-y=7) मिलता है जो सबसे बड़ा है। रैखिक व्यंजक का अधिकतम कोनों पर जांचें। / At the corner ((7,0)), (x-y=7), which is the largest value. For a linear expression, check the corner points.

Which concept should I revise for this Mathematics MCQ?

At the corner ((7,0)), (x-y=7), which is the largest value. For a linear expression, check the corner points.

What exam hint can help solve this Mathematics question?

कोनों में ((7,0)) पर (x-y=7) मिलता है जो सबसे बड़ा है। रैखिक व्यंजक का अधिकतम कोनों पर जांचें।