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You modelled the problem below in steps 1 and 2 (or you can download it here modelEco_familyFarm_2.zip) :
« A farmer owns 5 ha of land. His family can provide the equivalent of 5 people per year in terms of working time. The number of working days per year and per person is estimated at 100. This farmer can choose between 4 agricultural activities whose costs, yields and prices are shown in the table below. The currency is the rupee.
ACTIVITIES | Wheat | Rice | Sugar cane | Livestock |
YIELD (Tons/ha or Rupees/ha for livestock) |
9 | 6 | 18 | 17000 |
COSTS (Rupees/ha) | 3120 | 5480 | 11360 | 5000 |
PRICE(Rupees/ton) | 990 | 3276 | 1686 | 1 |
For livestock, the value shown in the yield line directly measures the gross product per hectare. A value of 1 was therefore provided in the price line.
The table below compiles the resource needs for each activity.
ACTIVITIES | Wheat | Rice | Sugar cane | Livestock |
Labour(days/year/ha) | 40.5 | 96 | 282 | 159 |
Water (m3/ha) | 740 | 3000 | 2200 | 1100 |
Land (ha) | 1 | 1 | 1 | 1 |
The objective of the farmer is to maximize the global gross margin. The State decides to pass a law concerning water consumption and that it is now limited to 3000 m3 per farm. »
It is now possible to buy irrigation water.
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In order to maximize his gross margin, while taking into account the environmental policy and the possibility of buying irrigation water, the farmer will dedicate :
ACTIVITIES Wheat Rice Sugar cane Livestock Optimum area (ha) 0 4.89 0.11 0 The solution model is as follows : modeEco_familyFarm_3.zip
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Question 1 of 6
1. Question
You modelled the problem below in steps 1 and 2 (or you can download it here modelEco_familyFarm_2.zip) :
« A farmer owns 5 ha of land. His family can provide the equivalent of 5 people per year in terms of working time. The number of working days per year and per person is estimated at 100. This farmer can choose between 4 agricultural activities whose costs, yields and prices are shown in the table below. The currency is the rupee.
ACTIVITIES Wheat Rice Sugar cane Livestock YIELD
(Tons/ha or
Rupees/ha for livestock)9 6 18 17000 COSTS (Rupees/ha) 3120 5480 11360 5000 PRICE(Rupees/ton) 990 3276 1686 1 For livestock, the value shown in the yield line directly measures the gross product per hectare. A value of 1 was therefore provided in the price line.
The table below compiles the resource needs for each activity.
ACTIVITIES Wheat Rice Sugar cane Livestock Labour(days/year/ha) 40.5 96 282 159 Water (m3/ha) 740 3000 2200 1100 Land (ha) 1 1 1 1 The objective of the farmer is to maximize the global gross margin. The State decides to pass a law concerning water consumption and that it is now limited to 3000 m3 per farm. »
It is now possible to buy irrigation water.
We remind you that the dual value of water is 2.62 rupees. How much should 1 m3 of water cost so as to encourage the farmer to buy water ?
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Question 2 of 6
2. Question
Modify the model in order to introduce the possibility of buying irrigation water at 2 rupees per m3.
If you need help and/or to make sure you use the same name for the data :
How great is the land area dedicated to wheat (in ha) ? Round off to a hundredth.
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0 ha
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Question 3 of 6
3. Question
How great is the land area dedicated to rice (in ha) ? Round off to a hundredth.
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4.89 ha
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Question 4 of 6
4. Question
How great is the land area dedicated to sugar cane (in ha) ? Round off to a hundredth.
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0,11 ha
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Question 5 of 6
5. Question
How great is the land area dedicated to livestock (in ha) ? Round off to a hundredth
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0 ha
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Question 6 of 6
6. Question
How many m3 of water are bought ? Round off to the nearest unit.
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