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Step 1 model has slightly changed :
« The State decides to implement a regulation policy concerning the use of water and imposes a limit of 7000 m3 per farm. »
Reminder : « 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 |
The objective of the farmer is to maximize the global gross margin. »
Modify the model based on the one you wrote in step 1, or the corrected version (modelEco_familyFarm_1.zip), and answer the questions (click on “Start quiz”).
If you need help and/or to make sure you use the same name for the data :
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In order to maximize his gross margin, while taking into account the environmental policy, the farmer will dedicate :
ACTIVITIES Wheat Rice Sugar cane Livestock Optimum area (ha) 1.88 1.15 0 1.97 The dual value of water will be 2.62 rupees per cubic meter, which means that the farmer is willing to buy one additional square meter at the maximum price of 2.62 rupees. In other words, the gross margin would go up by 2.62 rupees if the farmer had an additional square meter. The new gross margin would go up by 2.62 rupees if water availability went up by 1 m3.
The solution model is as follows : modelEco_familyFarm_2.zip
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Question 1 of 7
1. Question
Step 1 model has slightly changed :
« The State decides to implement a regulation policy concerning the use of water and imposes a limit of 7000 m3 per farm. »
Reminder : « 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 The objective of the farmer is to maximize the global gross margin. »
Modify the model based on the one you wrote in step 1, or the corrected version (exploitationFamiliale_1.zip), and answer the questions (click on “Start quiz”).
If you need help and/or to make sure you use the same name for the data :The results of the previous model were : 0 ha of wheat, 4.89 ha of rice, 0.11 ha of sugar cane and 0 ha for livestock. What do the new results show ?
How great is the land area dedicated to wheat (in ha) ? Round off to a hundredth.
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Question 2 of 7
2. Question
How great is the land area dedicated to rice (in ha) ? Round off to a hundredth.
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Question 3 of 7
3. Question
How great is the land area dedicated to sugar cane (in ha) ? Round off to a hundredth.
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Question 4 of 7
4. Question
How great is the land area dedicated to livestock (in ha) ? Round off to a hundredth.
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Question 5 of 7
5. Question
What is the dual value of water ? Round off to a hundredth.
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Question 6 of 7
6. Question
What does this imply ? Several answers are possible.
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Question 7 of 7
7. Question
What would the new gross margin be if water availability increased by 1m3, that is to say if the water constraint was loosened by a unit ? Round off to the nearest rupee.
Modify the model to check the solution to this question.
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