3.2 Question Generator - Jock's Farm
Introduction:
This activity requires you to use linear programming to model the constraints Jock has for his farm and to make recommendations so that he can maximise his income in the current year and in future years. You will present your findings as a written report, supported by graphs, equations and relevant calculations.
The quality of your reasoning and how well you link this to the context will determine the overall grade.

Task:
Jock owns a farm and grows corn and strawberries. Use the information below to write a report for Jock making recommendations as to how many hectares of each type he should grow.

Information:

• Corn require 37 hours of labour per hectare and strawberries require 222 hours of labour per hectare.
• Corn require 25 litres of fertiliser per hectare and strawberries require 10 litres of fertiliser per hectare.
• Jock has a maximum of 8214 hours of labour and 2750 litres of fertiliser.
• Jock must grow at least 15 hectares of strawberries and at least 12 hectares of corn.

Income predictions:

• For the current year, he expects to receive $1533 per hectare for his strawberries and $1283 per hectare for his corn.
• He is unsure of the future income from strawberries, but he thinks that next year will be approximately $7698 per hectare.

As you write your report take care to clearly communicate your findings using appropriate mathematical statements. Include graphs, equations, and relevant calculations.

Answer: