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24 Sep 2024, 08:42
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A business school located by Lake Michigan is planning to construct a new Infinity Hub to accommodate students enrolled in its MBA program. The administration has provided the following requirements to the architectural firm responsible for designing the building:
1. The Hub must have a capacity to hold at least 1,800 students at any given time.
2. There must be at least one study room for every 50 students.
3. A separate floor must include individual offices for at least 80 faculty members and administrators.
4. At least 40% of the area on each floor must be designated as open space.
5. The total construction budget must not exceed $200 million.
1. The Hub must have a capacity to hold at least 1,800 students at any given time.
2. There must be at least one study room for every 50 students.
3. A separate floor must include individual offices for at least 80 faculty members and administrators.
4. At least 40% of the area on each floor must be designated as open space.
5. The total construction budget must not exceed $200 million.
Disregarding the budget constraints, which among the three plans satisfy all the guidelines laid down by the school administration?
| Only Plan A | |
| Plan A and Plan B | |
| Plan A, Plan B, and Plan C | |
| Only Plan B | |
| None of the plans |
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Official Answer
Plan A and Plan B
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24 Sep 2024, 08:42
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Official Solution:
Evaluating each of the guidelines: Capacity of at least 1,800 students: Plan A: 1,800 students (Meets the requirement) Plan B: 2,000 students (Meets the requirement) Plan C: 2,000 students (Meets the requirement) At least one study room for every 50 students: Plan A: 1,800 students, requires 1,800 ÷ 50 = 36 study rooms. Plan A has 36 study rooms (Meets the requirement). Plan B: 2,000 students, requires 2,000 ÷ 50 = 40 study rooms. Plan B has 50 study rooms (Exceeds the requirement). Plan C: 2,000 students, requires 2,000 ÷ 50 = 40 study rooms. Plan C has 38 study rooms (Does not meet the requirement). At least 80 faculty offices: Plan A: 80 faculty offices (Meets the requirement) Plan B: 85 faculty offices (Meets the requirement) Plan C: 90 faculty offices (Meets the requirement) At least 40% of the total area must be designated as open space: Plan A: 40% open area (Meets the requirement) Plan B: 40% open area (Meets the requirement) Plan C: 40% open area (Meets the requirement) Plan A: Meets all the guidelines. Plan B: Meets all the guidelines. Plan C: Fails to meet the study room requirement (does not have 40 study rooms). Thus, the plans that satisfy all the guidelines are Plan A and Plan B.
Corrected Answers:
Disregarding the budget constraints, which among the three plans satisfy all the guidelines laid down by the school administration?: Plan A and Plan B
Bunuel
Evaluating each of the guidelines: Capacity of at least 1,800 students: Plan A: 1,800 students (Meets the requirement) Plan B: 2,000 students (Meets the requirement) Plan C: 2,000 students (Meets the requirement) At least one study room for every 50 students: Plan A: 1,800 students, requires 1,800 ÷ 50 = 36 study rooms. Plan A has 36 study rooms (Meets the requirement). Plan B: 2,000 students, requires 2,000 ÷ 50 = 40 study rooms. Plan B has 50 study rooms (Exceeds the requirement). Plan C: 2,000 students, requires 2,000 ÷ 50 = 40 study rooms. Plan C has 38 study rooms (Does not meet the requirement). At least 80 faculty offices: Plan A: 80 faculty offices (Meets the requirement) Plan B: 85 faculty offices (Meets the requirement) Plan C: 90 faculty offices (Meets the requirement) At least 40% of the total area must be designated as open space: Plan A: 40% open area (Meets the requirement) Plan B: 40% open area (Meets the requirement) Plan C: 40% open area (Meets the requirement) Plan A: Meets all the guidelines. Plan B: Meets all the guidelines. Plan C: Fails to meet the study room requirement (does not have 40 study rooms). Thus, the plans that satisfy all the guidelines are Plan A and Plan B.
Corrected Answers:
Disregarding the budget constraints, which among the three plans satisfy all the guidelines laid down by the school administration?: Plan A and Plan B
