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. Demand (kg) Pineapple % Flour % Net profit ($/kg) Pineapple Tarts At least 550 48 52 Products Pineapple Balls No more than 150 43 57 Nyonya Pineapple Tarts Between 260 and 310 65 35 27 18 23 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. Minutes required per kilogram Pineapple Tarts Pineapple Balls Nyonya Pineapple Tarts Machine I 1.40 1.20 1.40 Machine II 2.10 1.30 1.20 Machine III 1.10 0.80 0.60 Assume you have been tasked to find the production plan that maximises the total profit. Question 1a Formulate an LP model for this