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

Information:

• Pies require 2 hours of labour per batch and filled rolls require 10 hours of labour per batch.
• Pies require 2 kilograms of flour per batch and filled rolls require 4 kilograms of flour per batch.
• Harley has a maximum of 320 hours of labour and 176 kilograms of flour.
• Harley must make at least 6 batches of filled rolls and at least 20 batches of pies.

Income predictions:

• For the current year, he expects to receive $816 per batch for his filled rolls and $1748 per batch for his pies.
• He is unsure of the future income from filled rolls, but he thinks that next year will be approximately $3496 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: