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

Information:

• Bagels require 31 hours of labour per batch and filled rolls require 372 hours of labour per batch.
• Bagels require 3 kilograms of flour per batch and filled rolls require 24 kilograms of flour per batch.
• Pierce has a maximum of 11532 hours of labour and 792 kilograms of flour.
• Pierce must make at least 9 batches of filled rolls and at least 12 batches of bagels.

Income predictions:

• For the current year, he expects to receive $757 per batch for his filled rolls and $757 per batch for his bagels.
• He is unsure of the future income from filled rolls, but he thinks that next year will be approximately $6056 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: