I30-16

Question

The business school is planning to construct a new Infinity Hub on its Lake Michigan campus to accommodate students enrolled in its MBA program. The school administration has provided the following guidelines for the building design:
 
1. The Hub must have capacity for 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 total area of the building must be designated as open space.
 
5. The total construction budget must not exceed $200 million.An architectural firm has submitted three design plans for the new Infinity Hub. Each plan differs in size, layout, and budget. In all plans, the top floor is reserved for faculty and administrative offices.
 
The table below summarizes the details of each proposed plan.
      Specification   Plan A   Plan B   Plan C       Student Capacity   1800   2000   2000       Floors   4   5   5       Classrooms   18   20   25       Study Rooms   36   50   38       Faculty Offices   80   85   90       Area utilized (ft squared)   240,000   300,000   330,000       Open area (ft squared)   160,000   200,000   220,000       Total area (ft squared)   400,000   500,000   550,000       Total Budget ($ millions)   $200   $215   $230

Bunuel · Answer

Official Solution:

The school’s requirements are:
 
• Capacity for at least 1,800 students
 
• At least one study room for every 50 students
 
• At least 80 faculty offices
 
• At least 40% open area on each floor
 
Plan A has capacity for 1,800 students, 36 study rooms (required = 1,800 ÷ 50 = 36), 80 faculty offices, and 40% open area. Plan A meets all requirements.
 
Plan B has capacity for 2,000 students, 50 study rooms (required = 2,000 ÷ 50 = 40), 85 faculty offices, and 40% open area. Plan B meets all requirements.
 
Plan C has capacity for 2,000 students,  38  study rooms (required = 2,000 ÷ 50 =  40 ), 90 faculty offices, and 40% open area. Plan C does not meet the study room requirement.

Correct answer:

Disregarding the budget constraint, which of the plans meet all of the school’s building requirements?  "Plan A and Plan B"

pks2001 · Answer

but budget constraint is not fulfilled by Plan B (215million)

Bunuel · Answer

Check the question:

Disregarding the budget constraint  , which of the plans meet all of the school’s building requirements?

finisher009 · Answer

I thought this meant atleast 80 offices per floor, no?

" A separate floor must include individual offices for at least 80 faculty members and administrators"

Now there are several floors on each proposal so none meets the requirement. Please clarify.

Bunuel

Bunuel · Answer

You misunderstood. The requirement does  NOT  mean "at least 80 offices on every floor."

It says:  "A separate floor must include individual offices for at least 80 faculty members and administrators."

That means there needs to be  ONE dedicated floor  where at least 80 offices are located. It does  NOT  require multiple floors to each have 80+ offices.

TANMOYYY · Answer

I did not quite understand the solution. why the budget is not considered.

Bunuel · Answer

Check the question:

Disregarding the budget constraint  , which of the plans meet all of the school’s building requirements?

rashminuligonda · Answer

I don’t quite agree with the solution. "Plan C has capacity for 2,000 students, 38 study rooms (required = 2,000 ÷ 50 = 40), 90 faculty offices, and 40% open area. Plan C does not meet the study room requirement."

you are supposed to divide with "38" why did you divide with "50"?

you are supposed to divide with "38" why did you divide with "50"?

Bunuel · Answer

We divide by 50 because the requirement allows at most 50 students per study room. Thus, 2,000 students require 2,000/50 = 40 rooms. The number 38 is the number of rooms Plan C actually provides, not the number used to calculate how many rooms are required.

	Only Plan A
	Plan A and Plan B
	Plan A, Plan B, and Plan C
	Only Plan B
	None of the plans

	Only Plan A
	Plan A and Plan B
	Plan A, Plan B, and Plan C
	Only Plan B
	None of the plans

I30-16

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

Specification	Plan A	Plan B	Plan C
Student Capacity	1800	2000	2000
Floors	4	5	5
Classrooms	18	20	25
Study Rooms	36	50	38
Faculty Offices	80	85	90
Area utilized (ft squared)	240,000	300,000	330,000
Open area (ft squared)	160,000	200,000	220,000
Total area (ft squared)	400,000	500,000	550,000
Total Budget ($ millions)	$200	$215	$230