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

Information:

• Cream buns require 29 hours of labour per batch and danishes require 145 hours of labour per batch.
• Cream buns require 2 kilograms of flour per batch and danishes require 4 kilograms of flour per batch.
• Uzoma has a maximum of 4205 hours of labour and 248 kilograms of flour.
• Uzoma must make at least 5 batches of danishes and at least 5 batches of cream buns.

Income predictions:

• For the current year, he expects to receive $1695 per batch for his danishes and $363 per batch for his cream buns.
• He is unsure of the future income from danishes, but he thinks that next year will be approximately $726 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: