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A: 1600
B: 160
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
36% (03:45) correct
64%
(03:23)
wrong
based on 77
sessions
History
Date
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Not Attempted Yet
A lunar base monitors its energy gain from solar panels and energy use across 8 equal 3-hour intervals over a 24-hour day (interval n = 1 to 8). The amount of energy gained (in kilowatt-hours) in interval n is given by:
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
| A | B | |
| 120 | ||
| 160 | ||
| 240 | ||
| 400 | ||
| 1200 | ||
| 1600 |
ShowHide Answer
Official Answer
A: 1600
B: 160
22 May 2025, 11:45
Kudos
Bookmarks
I think option for B should be 250 rather than 240.
Bismuth83
A lunar base monitors its energy gain from solar panels and energy use across 8 equal 3-hour intervals over a 24-hour day (interval n = 1 to 8). The amount of energy gained (in kilowatt-hours) in interval n is given by:
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
poojaarora1818
Joined: 30 Jul 2019
Last visit: 14 July 2025
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Location: India
Concentration: General Management, Economics
Schools: Duke '26 Haas '26 Kelley '26 Kellogg '26 McDonough '26
GPA: 3
WE:Human Resources (Human Resources)
23 May 2025, 04:10
Kudos
Bookmarks
Solution:
If we add the total of gained, then we will get 1600, and the maximum net surplus any single day, as per the calculation, is the 4th interval, which is 160, and anything above 160 is 240. I am not sure about the second choice.
| Gained | Used | Net Surplus | |
| 1 | 400-100*3=100 | 120+30*min(1,8)=150 | 100-150=-50 |
| 2 | 400-100*2=200 | 120+30*min(2,7)=180 | 200-180=20 |
| 3 | 400-100*1=300 | 120+30*min(3,6)=210 | 300-210=90 |
| 4 | 400-100*0=400 | 120+30*min(4,5)=240 | 400-240=160 |
| 5 | 400-100*1=300 | 120+30*min(5,4)=240 | 300-240=60 |
| 6 | 400-100*2=200 | 120+30*min(6,3)=210 | 200-210=-10 |
| 7 | 400-100*3=100 | 120+30*min(7,2)=180 | 100-180=-80 |
| 8 | 400-100*4= 0 | 120+30*min(8,1)=150 | 0-150=-150 |
Bismuth83
A lunar base monitors its energy gain from solar panels and energy use across 8 equal 3-hour intervals over a 24-hour day (interval n = 1 to 8). The amount of energy gained (in kilowatt-hours) in interval n is given by:
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
Gained(n) = 400 – 100 * |n – 4|
The amount of energy used (in kilowatt-hours) in interval n is given by:
Used(n) = 120 + 30 * min(n, 9 – n)
If A is the total energy gained over the full day, and B is the maximum net surplus (Gained – Used) during any single interval, select one value for each from the list below.
