Question
Rend the given statement and conclusions carefully.
Decide which of the given conclusions is are true based on the given statement. Statement: A ≥ B =Q ≤ H < X ≤ K Conclusions: I. B < K II. X > QSolution
Let's evaluate each conclusion: I. B < K: • From the statement, B is equal to Q, and Q is less than H, which is less than X, and X is less than or equal to K. • Since B is equal to Q, and Q is less than X and X is less than or equal to K, we can conclude that B is less than K. • Conclusion I is true. II. X > Q: • From the statement, Q is less than H, and H is less than X. • Therefore, X is greater than Q. • Conclusion II is true. Based on the analysis: • Conclusion I (B < K) and Conclusion II (X > Q) are both true. So, the correct answer is: 3. Both conclusions I and conclusion II are true.
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Maximize Z = 3x + 5y
Subject to:
x – y ≥ 2
x + y ≥ 4
x, y ≥ 0
What can be concluded about the feasible region?
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