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

Information:

• Scones require 6 hours of labour per batch and cup cakes require 33 hours of labour per batch.
• Scones require 3 kilograms of flour per batch and cup cakes require 6 kilograms of flour per batch.
• Harley has a maximum of 1386 hours of labour and 378 kilograms of flour.
• Harley must make at least 16 batches of cup cakes and at least 11 batches of scones.

Income predictions:

• For the current year, he expects to receive $957 per batch for his cup cakes and $1122 per batch for his scones.
• He is unsure of the future income from cup cakes, but he thinks that next year will be approximately $2244 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: