Length : around 15 minutes
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We have added the possibility of paying for hired labour in lesson 10. The new model is called primal2. Run the model which you wrote or that you can download here primal2.zip or from the Model library. Change the value of the hired labour price to 10€, then 20€, and finally 30€. Observe the results and answer the following questions.
Consider the following problem statement :
« A given farm can grow two types of crop : wheat and maize. The area to be cultivated must be determined for each crop, knowing that :
The objective of the farmer is to maximize his income.
Wheat yields 450€ per hectare, maize 1000€.
Wheat requires 25 hours of labour per hectare and per year, and maize 50 hours.
The farm area is 50 ha and the farmer can work 2000 hours a year.
But he can hire hourly workers. »
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Question 1 of 7
1. Question
We have added the possibility of paying for hired labour in lesson 10. The new model is called primal2. Run the model which you wrote or that you can download here primal2.zip or from the Model library. Change the value of the hired labour price to 10€, then 20€, and finally 30€. Observe the results and answer the following questions.
Consider the following problem statement :
« A given farm can grow two types of crop : wheat and maize. The area to be cultivated must be determined for each crop, knowing that :
The objective of the farmer is to maximize his income.
Wheat yields 450€ per hectare, maize 1000€.
Wheat requires 25 hours of labour per hectare and per year, and maize 50 hours.
The farm area is 50 ha and the farmer can work 2000 hours a year.But he can hire hourly workers. »
What is the price of hired labour that allows the farmer to receive a maximum income ?
Correct
If the price of hired labour is 10€ the farmer has an income of : 45000€.
If the price of hired labour is 20€ the farmer has an income of : 40000€.
If the price of hired labour is 10€ the farmer has an income of : 40000€.
So the answer is 10€.Incorrect
If the price of hired labour is 10€ the farmer has an income of : 45000€.
If the price of hired labour is 20€ the farmer has an income of : 40000€.
If the price of hired labour is 10€ the farmer has an income of : 40000€.
So the answer is 10€. -
Question 2 of 7
2. Question
Does the price of hired labour have an impact on crop rotation ?
Correct
Yes, the price of hired labour has an impact on crop rotation. Crop rotation will represent 50 hectares of maize for 10€ and 20€ but 40 hectares of maize for 30€.
Incorrect
Yes, the price of hired labour has an impact on crop rotation. Crop rotation will represent 50 hectares of maize for 10€ and 20€ but 40 hectares of maize for 30€.
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Question 3 of 7
3. Question
Is it always beneficial for the farmer to hire workers ?
Correct
No, if the price of hired labour is greater than the dual value of labour then it is not in the interest of the farmer to hire workers.
Incorrect
No, if the price of hired labour is greater than the dual value of labour then it is not in the interest of the farmer to hire workers.
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Question 4 of 7
4. Question
At what price is it not beneficial for the farmer to hire workers ?
Correct
Beyond 20€/hour, it is not in the interest of the farmer to hire workers.
Incorrect
Beyond 20€/hour, it is not in the interest of the farmer to hire workers.
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Question 5 of 7
5. Question
How many hours are payed to hired workers by the farmer if the price of labour is 10€ ?
Correct
500 hours are paid by the farmer ; this is shown in section solVar, MOS
Incorrect
500 hours are paid by the farmer ; this is shown in section solVar, MOS
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Question 6 of 7
6. Question
How many hours are payed to hired workers by the farmer if the price of labour is 20€ ?
Correct
500 hours are paid by the farmer ; this is shown in section solVar, MOS
Incorrect
500 hours are paid by the farmer ; this is shown in section solVar, MOS
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Question 7 of 7
7. Question
How many hours are payed to hired workers by the farmer if the price of labour is 30€ ?
Correct
The farmer does not hire workers ; this is shown in section solVar, MOS.
Incorrect
The farmer does not hire workers ; this is shown in section solVar, MOS.