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 custard squares and cream buns. Use the information below to write a report for Harley making recommendations as to how many batches of each type he should make.

Information:

• Custard squares require 129 hours of labour per batch and cream buns require 172 hours of labour per batch.
• Custard squares require 237 kilograms of flour per batch and cream buns require 79 kilograms of flour per batch.
• Harley has a maximum of 22188 hours of labour and 18723 kilograms of flour.
• Harley must make at least 12 batches of cream buns and at least 20 batches of custard squares.

Income predictions:

• For the current year, he expects to receive $755 per batch for his cream buns and $1152 per batch for his custard squares.
• He is unsure of the future income from cream buns, but he thinks that next year will be approximately $1536 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: