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

Information:

• Cup cakes require 6 hours of labour per batch and scones require 28 hours of labour per batch.
• Cup cakes require 68 kilograms of flour per batch and scones require 119 kilograms of flour per batch.
• Adam has a maximum of 1344 hours of labour and 8092 kilograms of flour.
• Adam must make at least 4 batches of scones and at least 14 batches of cup cakes.

Income predictions:

• For the current year, he expects to receive $1527 per batch for his scones and $1753 per batch for his cup cakes.
• He is unsure of the future income from scones, but he thinks that next year will be approximately $3067.75 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: