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.