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lvillalon
Joined: 29 Jun 2025
Last visit: 25 Aug 2025
Posts: 88
Given Kudos: 14
Location: Chile
Concentration: Operations, Entrepreneurship
Schools: HEC Sept '26 INSEAD Aug '26 IMD'26 Rotterdam'26 Booth '26 Sloan '26 Kellogg '26 Anderson '26
GPA: 3,3
WE:Consulting (Consulting)
Schools: HEC Sept '26 INSEAD Aug '26 IMD'26 Rotterdam'26 Booth '26 Sloan '26 Kellogg '26 Anderson '26
Posts: 88
10 Jul 2025, 18:59
Kudos
Bookmarks
Castel = 2W + 6S + M
Mansion = 6W + 4S + 2M
Player
12W
18S
9M
You have to divide the players resources by the building costs, and the limiting resource gives you the maximum for each.
Castle = 3 (Stone is the limit)
Mansion = 2 (Wood is the limit)
Mansion = 6W + 4S + 2M
Player
12W
18S
9M
You have to divide the players resources by the building costs, and the limiting resource gives you the maximum for each.
Castle = 3 (Stone is the limit)
Mansion = 2 (Wood is the limit)
Bunuel
10 Jul 2025, 20:29
Kudos
Bookmarks
"In the computer game Stoneforge Dominion, a player can use available resources to build castles and mansions. Each structure must be built using a specific ratio of three components: stone, wood, and metal."
Let S = Stone, W = Wood, and M = Metal
A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal.
W = 2
S = 3*2 = 6
M = 1/2 * 2 = 1
Castle's ratio (individual cost):
S:W:M
6:2:1
A mansion requires 6 units of wood, along with 2 units of stone for every 3 units of wood, and 1 unit of metal for every 5 units of total wood and stone combined.
W = 6
S = 2/3 * 6 = 4
M = ( 6 + 4 ) / 5 = 10 / 5 = 2
Mansion's ratio (individual cost):
S:W:M
4:6:2
The player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone.
S = 18
W = 2/3 * 18 = 36/3 = 12
M = 1/2 * 18 = 9
Available resources:
S:W:M
18:12:9
Select for Castle the maximum number of complete castles the player can build, and select for Mansion the maximum number of complete mansions the player can build, using the available resources. Make only two selections, one in each column.
Castle -> Stone: 18/6 = 3, Wood: 12/2 = 6, Metal: 9/1 = 9 -> Castle: Min(3, 6, 9) = 3
Mansion -> Stone: 18/4 = 4.5, Wood: 12/6 = 2, Metal: 9/2 = 4.5 -> Castle: Min(2, 4.5) = 2
Answer:
Castle: 3
Mansion: 2
Let S = Stone, W = Wood, and M = Metal
A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal.
W = 2
S = 3*2 = 6
M = 1/2 * 2 = 1
Castle's ratio (individual cost):
S:W:M
6:2:1
A mansion requires 6 units of wood, along with 2 units of stone for every 3 units of wood, and 1 unit of metal for every 5 units of total wood and stone combined.
W = 6
S = 2/3 * 6 = 4
M = ( 6 + 4 ) / 5 = 10 / 5 = 2
Mansion's ratio (individual cost):
S:W:M
4:6:2
The player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone.
S = 18
W = 2/3 * 18 = 36/3 = 12
M = 1/2 * 18 = 9
Available resources:
S:W:M
18:12:9
Select for Castle the maximum number of complete castles the player can build, and select for Mansion the maximum number of complete mansions the player can build, using the available resources. Make only two selections, one in each column.
Castle -> Stone: 18/6 = 3, Wood: 12/2 = 6, Metal: 9/1 = 9 -> Castle: Min(3, 6, 9) = 3
Mansion -> Stone: 18/4 = 4.5, Wood: 12/6 = 2, Metal: 9/2 = 4.5 -> Castle: Min(2, 4.5) = 2
Answer:
Castle: 3
Mansion: 2
10 Jul 2025, 20:56
Kudos
Bookmarks
mansion = 6Wood + 4Stone + 2Metal - per stem
castle = 2Wood + 6Stone + 1Metal
the Player has 18 stone, 12 wood, and 9 stones
the limiting input on mansions will be wood; he can make at most 2 mansions per the wood requirement -- despite the excess in other inputs.
the limiting input on the castles will be the stone; he can make at most 3 castles per the stone requirement -- despite the excess in other inputs.
castle = 2Wood + 6Stone + 1Metal
the Player has 18 stone, 12 wood, and 9 stones
the limiting input on mansions will be wood; he can make at most 2 mansions per the wood requirement -- despite the excess in other inputs.
the limiting input on the castles will be the stone; he can make at most 3 castles per the stone requirement -- despite the excess in other inputs.
Bunuel
