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CAN HELP ME IN 30 MINUTES? QUESTION 1 [20 MARKSI Captain XYZ just started his hawker business selling sandwiches after being retrenched by his previous

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CAN HELP ME IN 30 MINUTES?

QUESTION 1 [20 MARKSI Captain XYZ just started his hawker business selling sandwiches after being retrenched by his previous airline company due to the on-going pandemic. As a start, he decided to sell three types of affordable sandwiches with the hope that all the sandwiches can be sold out to gain maximum profit. Table 1 shows the three main ingredients required to make the three types of sandwiches, and profits for each type of sandwich. Table 1: Ingredients and Profits for Sandwiches Chicken mayo Chicken stacker Chicken meatloaf sandwich (piece) sandwich (piece) sandwich (piece) Tomato (g/piece) 25 40 20 10 15 30 Lettuce (g/piece) Chicken meat (g/piece) Profit (RM/piece) 50 100 40 1.50 2.00 1.00 As this is his first attempt selling sandwiches, he only buys 5 kg of tomatoes, 3 kg of lettuces and 11 kg of chicken meats for a day business. (a) Set-up the linear programming to achieve the maximum daily profit with consideration of all constraints if all sandwiches made by Captain XYZ are sold out in a day. [5 Marks) (b) From linear programming in (a), use the Simplex method to estimate the maximum daily profit that Captain XYZ is able to make from selling all sandwiches. State the type of sandwiches and their respective amount that can be made from your calculations. [12 Marks) (c) Captain XYZ used to earn RM 20,000.00 monthly working as a junior pilot in his previous airline company. From your calculations in (b), will he be able to earn as much as a pilot in a month? If no, suggest way(s) to increase his daily profit so that he is able to earn RM 20,000.00 a month. Assume a month has 30 days and operates every day. [3 Marks)

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