The table below details Q1 2026 operational and financial performance metrics for seven urban vertical farming facilities operated by GreenGrid AgriTech: | Facility Code | Crop Yield (metric tons) | Energy Consumption (MWh) | Water Recycled (%) | Operating Cost (/kg) | Revenue ( thousands) | |---|--

The table below details Q1 2026 operational and financial performance metrics for seven ur… — GMAT

The table below details Q1 2026 operational and financial performance metrics for seven urban vertical farming facilities operated by GreenGrid AgriTech:

Facility Code	Crop Yield (metric tons)	Energy Consumption (MWh)	Water Recycled (%)	Operating Cost ($/kg)	Revenue ($ thousands)
VF-101	120	480	92%	4.50	720
VF-102	85	315	88%	5.20	460
VF-103	150	600	95%	3.80	975
VF-104	95	418	84%	4.80	513
VF-105	110	462	90%	4.10	682
VF-106	70	294	86%	5.60	364
VF-107	130	546	94%	3.90	858

Evaluate the truth value of the following overarching claim:

Statement: Exactly two of the three statements below evaluate to True based on the table data.

I. For all facilities where Water Recycled is at least 90%, the median Revenue per metric ton of Crop Yield is greater than $6,000.
II. The facility with the highest Energy Consumption per metric ton of Crop Yield also has the highest Operating Cost per kg.
III. The mean Energy Consumption across all seven facilities is less than 450 MWh.

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The statement is True because Statements I and III evaluate to True, while Statement II evaluates to False, making exactly two statements True.

The overarching statement is correct because evaluating each of the three sub-statements shows that Statement I is True (median is \$6,350/ton), Statement II is False (VF-104 has the highest energy per ton but not the highest operating cost), and Statement III is True (mean energy is 445 MWh). Therefore, exactly two statements are True.

Adım Adım Çözüm

Filter facilities with Water Recycled

\ge 90\%

and calculate their Revenue per metric ton of Crop Yield.

Matching facilities: VF-101 (

92\%

), VF-103 (

95\%

), VF-105 (

90\%

), VF-107 (

94\%

).
Revenue per metric ton calculations:
- VF-101:

\frac{\$720,000}{120} = \$6,000/\text{ton}

- VF-103:

\frac{\$975,000}{150} = \$6,500/\text{ton}

- VF-105:

\frac{\$682,000}{110} = \$6,200/\text{ton}

- VF-107:

\frac{\$858,000}{130} = \$6,600/\text{ton}

Statement I requires computing revenue yield efficiency for a subset of rows filtered by water recycling rate.

Find the median of the filtered revenue per metric ton values to test Statement I.

Ordered set:

\{\$6,000, \$6,200, \$6,500, \$6,600\}

. Median =

\frac{\$6,200 + \$6,500}{2} = \$6,350

. Since

\$6,350 > \$6,000

, Statement I is TRUE.

The median of an even-numbered dataset is the arithmetic mean of the two middle values.

Calculate Energy Consumption per metric ton of Crop Yield for all facilities to identify the maximum, then compare with Operating Cost per kg to test Statement II.

Energy per metric ton rates:
- VF-101:

\frac{480}{120} = 4.0\text{ MWh/ton}

- VF-102:

\frac{315}{85} \approx 3.71\text{ MWh/ton}

- VF-103:

\frac{600}{150} = 4.0\text{ MWh/ton}

- VF-104:

\frac{418}{95} = 4.4\text{ MWh/ton}

(Highest)
- VF-105:

\frac{462}{110} = 4.2\text{ MWh/ton}

- VF-106:

\frac{294}{70} = 4.2\text{ MWh/ton}

- VF-107:

\frac{546}{130} = 4.2\text{ MWh/ton}

VF-104 has the highest Energy per metric ton (

4.4

). Its Operating Cost is \$4.80/kg. However, VF-106 has the highest Operating Cost at \$5.60/kg. Thus, Statement II is FALSE.

Testing Statement II requires identifying the maximum value of a calculated row-level ratio and checking if it coincides with the column maximum of another metric.

Calculate the mean Energy Consumption across all seven facilities to test Statement III.

Sum of Energy Consumption =

480 + 315 + 600 + 418 + 462 + 294 + 546 = 3,115\text{ MWh}

. Mean =

\frac{3,115}{7} = 445\text{ MWh}

. Since

445 < 450

, Statement III is TRUE.

Determining the truth value of Statement III requires computing an aggregate mean across the entire dataset.

Synthesize the boolean evaluations of the three statements to determine the final truth value.

Statement I: True, Statement II: False, Statement III: True. Exactly two of the three statements are True, which confirms that the overarching statement is True.

The main question stem asserts that exactly two statements are True.

Anahtar Kavram

Multi-Statement Boolean Evaluation using tabular filtering, ratio calculation, descriptive statistics (median and mean), and multi-column comparison.

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