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

Information:

• Sausage rolls require 4 hours of labour per batch and rocky roads require 2 hours of labour per batch.
• Sausage rolls require 20 kilograms of flour per batch and rocky roads require 5 kilograms of flour per batch.
• Cody has a maximum of 288 hours of labour and 1100 kilograms of flour.
• Cody must make at least 12 batches of rocky roads and at least 14 batches of sausage rolls.

Income predictions:

• For the current year, he expects to receive $1333 per batch for his rocky roads and $1223 per batch for his sausage rolls.
• He is unsure of the future income from rocky roads, but he thinks that next year will be approximately $305.75 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: