Run GAMS and model the following problem. Then answer the questions (click on “Submit”) :« 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 row 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
The objective of the farmer is to maximize the global gross margin.»
If you need help and/or to make sure you use the same names for the data :
One you have modelled this problem, answer the questions.
One you have modelled this problem, answer the questions.
