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

Information:

• Danishes require 2 hours of labour per batch and cup cakes require 32 hours of labour per batch.
• Danishes require 8 kilograms of flour per batch and cup cakes require 2 kilograms of flour per batch.
• Anaru has a maximum of 2880 hours of labour and 432 kilograms of flour.
• Anaru must make at least 12 batches of cup cakes and at least 16 batches of danishes.

Income predictions:

• For the current year, he expects to receive $609 per batch for his cup cakes and $1998 per batch for his danishes.
• He is unsure of the future income from cup cakes, but he thinks that next year will be approximately $31968 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: