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

Information:

• Danishes require 10 hours of labour per batch and scones require 5 hours of labour per batch.
• Danishes require 18 kilograms of flour per batch and scones require 3 kilograms of flour per batch.
• River has a maximum of 650 hours of labour and 810 kilograms of flour.
• River must make at least 12 batches of scones and at least 10 batches of danishes.

Income predictions:

• For the current year, he expects to receive $1754 per batch for his scones and $201 per batch for his danishes.
• He is unsure of the future income from scones, but he thinks that next year will be approximately $33.5 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: