3.2 Question Generator - Hasan's Bakery
Introduction:
This activity requires you to use linear programming to model the constraints Hasan has for his bakery 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:
Hasan owns a bakery and makes scones and sausage rolls. Use the information below to write a report for Hasan making recommendations as to how many batches of each type he should make.

Information:

• Scones require 4 hours of labour per batch and sausage rolls require 2 hours of labour per batch.
• Scones require 12 kilograms of flour per batch and sausage rolls require 2 kilograms of flour per batch.
• Hasan has a maximum of 144 hours of labour and 312 kilograms of flour.
• Hasan must make at least 12 batches of sausage rolls and at least 4 batches of scones.

Income predictions:

• For the current year, he expects to receive $1161 per batch for his sausage rolls and $1176 per batch for his scones.
• He is unsure of the future income from sausage rolls, but he thinks that next year will be approximately $588 per batch.

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

Answer: