Question 1

Ding Bakery makes three different tarts from pineapple and flour: Pineapple Tarts, Pineapple Balls, and Nyonya Pineapple Tarts. The demand forecast for next week, percentages of pineapple and flour, and net profit for each product are shown in the following table.

Ding Bakery has 620 kilograms of pineapple and 510 kilograms of flour for use next week. These products are made using three different machines. The availability of the machines next week is as follows: 35 hrs for Machine I, 32 hrs for Machine II, and 38 hrs for Machine III. The following table summarises the time required by each product on each machine.

Assume you have been tasked to find the production plan that maximises the total profit.

Question 1a
Formulate an LP model for this problem.

Question 1b
Set up a spreadsheet model for this problem.

Determine the optimal solution using the Solver. Comment on your results.

Question 1c
If you want to change the production of any product, which one would you recommend and why?