Activity 10A : « Wheat/maize » model – Hiring workers

Length : around 15 minutes

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. »

Observe the results and answer the questions.

What is the price of hired labour that allows the farmer to receive a maximum income ?

Does the price of hired labour have an impact on crop rotation ?

Is it always beneficial for the farmer to hire workers ?

At what price is it not beneficial for the farmer to hire workers ?

How many hours are payed to hired workers by the farmer if the price of labour is 10€ ?

How many hours are payed to hired workers by the farmer if the price of labour is 20€ ?

How many hours are payed to hired workers by the farmer if the price of labour is 30€ ?