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

Information:

• Danishes require 2 hours of labour per batch and custard squares require 6 hours of labour per batch.
• Danishes require 10 kilograms of flour per batch and custard squares require 6 kilograms of flour per batch.
• Dan has a maximum of 636 hours of labour and 1860 kilograms of flour.
• Dan must make at least 15 batches of custard squares and at least 15 batches of danishes.

Income predictions:

• For the current year, he expects to receive $1948 per batch for his custard squares and $791 per batch for his danishes.
• He is unsure of the future income from custard squares, but he thinks that next year will be approximately $2373 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: