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How many vertices are in the solution region of \(x \ge 0\), \(y \ge 0\), \(2x+y \le 8\), and \(x+2y \le 8\)?सिस्टम \(x \ge 0\), \(y \ge 0\), \(2x+y \le 8\), \(x+2y \le 8\) के समाधान क्षेत्र के कितने शीर्ष हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4)(4)
The vertices are ((0,0)), ((4,0)), \(\left(\frac{8}{3},\frac{8}{3}\right)\), and ((0,4)). List all valid corners in order.शीर्ष ((0,0)), ((4,0)), \(\left(\frac{8}{3},\frac{8}{3}\right)\), और ((0,4)) हैं। सभी वैध कोनों को क्रम से सूचीबद्ध करें।
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