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12 Days of Christmas GMAT Competition - Day 4: A solar energy project

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__Poisonivy__

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20 Dec 2024, 06:07

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Strat 1- Total output= 240x0.5= 120.

strat 2- Total output= 200x0.4 + 40(x) = 80+ 40x

for the total output to be equal - 120= 80+ 40x => x=1.

rns2812

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20 Dec 2024, 06:35

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Strategy 1 -> 240 * 0.5

Strategy 2 -> 200 * 0.4 + 40 * x

If output from strategy 1 = strategy 2

x = 1

Given for y in strategy 2, 200 m^2 is twice as 40 m^2

200 * 0.4 = 2 * 40 * y

y = 1

Bunuel

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A solar energy project involves installing solar panels over a total area of 240 square meters and has two design strategies to choose from. Strategy 1 uses the entire 240 square meters for a single high-efficiency solar panel setup, which provides an electrical output equal to 0.5kWH per square meter. Strategy 2 splits the area into two separate setups: 200 square meters with a slightly lower efficiency that provides an electrical output equal to 0.4kWH per square meter and the remaining 40 square meters with an output of x kWH per square meter. Both strategies are otherwise identical, and all electrical output is calculated at the end of the year.

Select for x the value of x at which the two strategies result in the same total electrical output, and select for y the value at which the output from the 200 square meters setup would be exactly twice the additional output from the 40 square meters setup. Make only two selections, one in each column.

Seb2m02

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20 Dec 2024, 06:54

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I would say (1,1)

strategy 1
120kwh
strategy 2
80kwh + 40x kwh

Calculation of X, we are looking for the X value that allow to have 120kwh -> X=1
Calculation of Y, we are looking for the Y value that allow to have 80kwh = 2Y x 40 -> Y=1

jkkamau

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20 Dec 2024, 07:45

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Strategy 1
Total output is equal to 240x0.5= 120kWH
Strategy 2
The total output is (200x0.4) + 40x
Equating the two since both strategies are identical
80+40X=120
40X=40
X=1
Y=0.4
Hence EB

Bunuel

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Mardee

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20 Dec 2024, 08:14

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Value of x at which the two strategies result in the same total electrical output,
For y the value at which the output from the 200 square meters setup would be exactly twice the additional output from the 40 square meters setup

Strategy 1:

Output from Strategy 1=240*0.5=120kWH

Strategy 2:
Output from Strategy 2=(200*0.4)+(40*x)=80+40x kWH

For 1st part:

Strategy 1 = Strategy 2
120=80+40x
x = 1

2nd part:
Output from 200m^2 is twice the output from the 40m^2 setup

=> 200*0.4 = 2*40x
=> x =1

x: x=1
y: x=1