Sy123
This too shall pass
- Joined
- Nov 6, 2011
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- HSC
- 2013
In order to grow 1 square unit of sugar cane, this 1 square unit of sugar cane must be next to 1 square unit of water.
A farm is established with the goal of finding the most efficient layout of these water and sugar cane units.
The efficiency of the farm is measured as a percentage of land utilised for growing.
i.e. a 60% efficient farm is a farm where 60% of tiles/units are sugar cane units.
Find the maximum efficiency for this sugar cane farm, and if possible draw a layout of this farm.
e.g. of the layout and efficiency
I have read figures of as high as 80% efficiency
However I want to see if someone can think of a mathematical explanation and possibly a higher efficiency.
A farm is established with the goal of finding the most efficient layout of these water and sugar cane units.
The efficiency of the farm is measured as a percentage of land utilised for growing.
i.e. a 60% efficient farm is a farm where 60% of tiles/units are sugar cane units.
Find the maximum efficiency for this sugar cane farm, and if possible draw a layout of this farm.
e.g. of the layout and efficiency
![](/proxy.php?image=http%3A%2F%2Fi.imgur.com%2Fa3uWPUf.png%3F1&hash=d9c0bc926a37a85deca7947e64b03dca)
I have read figures of as high as 80% efficiency
However I want to see if someone can think of a mathematical explanation and possibly a higher efficiency.
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