Question: Please help me do all the questions !!! (b) EverLantern Steel Berhad produces two types of medals A and B daily during the period of

Please help me do all the questions !!! (b)

Please help me do all the questions !!!

(b) EverLantern Steel Berhad produces two types of medals A and B daily during the period of Conditional Movement Control Order (CMCO). Each medal A sold results in RM 1800 profit, which each medal B produced yields RM 1500 profit. Each medal A requires: 2 hours of furnace X (at 1200 C) and 1 hour of furnace Y (at 1400 C). Each medal B requires: 1 hour of furnace X and 2 hours of furnace Y. The company will be granted a fixed incentive from the state government as part of its daily profit to boost high-tech utilisation in manufacturing sector to be in line with the Industry Revolution 4.0 Malaysia. Available production capacity is 10 hours of furnace X and 10 hours of furnace Y daily in EverLantern Steel Berhad. (Hint: The fixed government incentive (RM 1900 is the last four-digits of your student ID card number). (1) Tabulate a table to formulate a complete linear programming model that can be used to satisfy the company's daily production requirements at maximum profit by using the simplex method. (20 marks) (ii) Determine the shadow price of medals A and B, if the daily availability of furnaces X and Y is changed from 10 hours to 12 hours, respectively. (14 marks) (iii) If EverLantern Steel Berhad can increase the capacity of both furnaces after the CMCO is lifted. Which furnace should receive priority and justify it? (5 marks) (iv) Should EverLantern Steel Berhad increase the availability of furnace Y at an additional cost of RM 730/hour to expedite the production? Please justify it. (5 marks) [Total : 50 marks] (b) EverLantern Steel Berhad produces two types of medals A and B daily during the period of Conditional Movement Control Order (CMCO). Each medal A sold results in RM 1800 profit, which each medal B produced yields RM 1500 profit. Each medal A requires: 2 hours of furnace X (at 1200 C) and 1 hour of furnace Y (at 1400 C). Each medal B requires: 1 hour of furnace X and 2 hours of furnace Y. The company will be granted a fixed incentive from the state government as part of its daily profit to boost high-tech utilisation in manufacturing sector to be in line with the Industry Revolution 4.0 Malaysia. Available production capacity is 10 hours of furnace X and 10 hours of furnace Y daily in EverLantern Steel Berhad. (Hint: The fixed government incentive (RM 1900 is the last four-digits of your student ID card number). (1) Tabulate a table to formulate a complete linear programming model that can be used to satisfy the company's daily production requirements at maximum profit by using the simplex method. (20 marks) (ii) Determine the shadow price of medals A and B, if the daily availability of furnaces X and Y is changed from 10 hours to 12 hours, respectively. (14 marks) (iii) If EverLantern Steel Berhad can increase the capacity of both furnaces after the CMCO is lifted. Which furnace should receive priority and justify it? (5 marks) (iv) Should EverLantern Steel Berhad increase the availability of furnace Y at an additional cost of RM 730/hour to expedite the production? Please justify it. (5 marks) [Total : 50 marks]

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