Anis Cookies Enterprise produces two types of premium cookies, Chocolate Chip cookies and Brownies cookies. It...

  

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Anis Cookies Enterprise produces two types of premium cookies, Chocolate Chip cookies and Brownies cookies. It makes a profit of every one kilogram for Chocolate Chip cookies and Brownies cookies are RM 15 and RM 20 respectively. One kilogram of Chocolate Chip cookies requires 1 hour of baking time and 0.5 hours of packaging time while one kilogram of Brownies cookies requires 1.5 hours of baking time and 0.5 hours of packaging time. The demand for Chocolate Chip cookies is at least 40 kg. The market for Brownies cookies is at most of 60 kg per week. Currently, the company has 120 hours of baking time and 50 hours of packaging time per week. The total annual demand for both type of cookies is 4,800 kg. The main ingredient to make these cookies is premium imported cookies flour. The cost of cookies flour is RM 5.00 per kg. The annual holding cost for the inventory is 10% of the cost and the ordering cost is RM 15 per order. The company is open 240 days a year for production. The supplier of Anis Cookies Enterprise makes an offer to give discounts for quantity purchases as shown in the table below: Quantity of cookies flour (kg) Discount Cost per kg 500 and below None RM 5.00 501 to 1,500 5% RM 4.75 1,501 and above 10% RM 4.50 The fixed monthly cost of production is RM 500 and the variable cost per kilogram of Chocolate Chip and Brownies cookies are RM 8 and RM 10 respectively. The selling price per kilogram for Chocolate Chip cookies and Brownies cookies are RM 30 and RM 40 respectively. a. Formulate the problem as a linear programming method. (6 marks) b. Solve the problem graphically. Calculate the maximum profit per week. (10 marks) c. Determine the number of each types of cookies to be produce weekly to maximize the profit. (2 marks) d. Measure how much is the optimal order quantity if Anis Cookies Enterprise decide to take an advantage from the supplier's offer. (15 marks) e. For a monthly volume of 480 kg for Brownies cookies and 500 kg for Chocolate Chip cookies, determine the total monthly profit. (3 marks) f. Determine the monthly break-even volume for each type of cookies Anis Cookies Enterprise produces two types of premium cookies, Chocolate Chip cookies and Brownies cookies. It makes a profit of every one kilogram for Chocolate Chip cookies and Brownies cookies are RM 15 and RM 20 respectively. One kilogram of Chocolate Chip cookies requires 1 hour of baking time and 0.5 hours of packaging time while one kilogram of Brownies cookies requires 1.5 hours of baking time and 0.5 hours of packaging time. The demand for Chocolate Chip cookies is at least 40 kg. The market for Brownies cookies is at most of 60 kg per week. Currently, the company has 120 hours of baking time and 50 hours of packaging time per week. The total annual demand for both type of cookies is 4,800 kg. The main ingredient to make these cookies is premium imported cookies flour. The cost of cookies flour is RM 5.00 per kg. The annual holding cost for the inventory is 10% of the cost and the ordering cost is RM 15 per order. The company is open 240 days a year for production. The supplier of Anis Cookies Enterprise makes an offer to give discounts for quantity purchases as shown in the table below: Quantity of cookies flour (kg) Discount Cost per kg 500 and below None RM 5.00 501 to 1,500 5% RM 4.75 1,501 and above 10% RM 4.50 The fixed monthly cost of production is RM 500 and the variable cost per kilogram of Chocolate Chip and Brownies cookies are RM 8 and RM 10 respectively. The selling price per kilogram for Chocolate Chip cookies and Brownies cookies are RM 30 and RM 40 respectively. a. Formulate the problem as a linear programming method. (6 marks) b. Solve the problem graphically. Calculate the maximum profit per week. (10 marks) c. Determine the number of each types of cookies to be produce weekly to maximize the profit. (2 marks) d. Measure how much is the optimal order quantity if Anis Cookies Enterprise decide to take an advantage from the supplier's offer. (15 marks) e. For a monthly volume of 480 kg for Brownies cookies and 500 kg for Chocolate Chip cookies, determine the total monthly profit. (3 marks) f. Determine the monthly break-even volume for each type of cookies

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Answer Lets formulate this problem as a linear programming LP model Decision variables Let x1 ... View the full answer