ASSIGNMENT QUESTION QUESTION: 1 Solve the following business problems using matrix: a) KTM Berhad is conducting a survey on its daily ETS services to find its cost effectiveness between Ipoh and KL Sentral. It currently provides three types of services - Platinum, Gold and silver. The price of each ticket for adult per single trip is RM45, RM35 and RM25 respectively. If 100 Platinum, 180 Gold and 200 Silver tickets were sold on a selected trip on Saturday, 120 Platinum, 200 Gold and 250 Silver tickets were sold on a selected trip on Sunday and 80 Platinum, 150 Gold and 180 Silver tickets were sold on a selected trip on Monday, find the total revenue collected over the 3 days for the selected trips. (10 marks) b) During a campaign by KTM Berhad to increase the number of passengers travelling on Tuesday, Wednesday and Thursday, the price of tickets for Platinum, Gold and silver was reduced to X, Y and Z respectively. The number of tickets sold on Tuesday was 80 Platinum, 150 Gold and 380 Silver. The number of tickets sold on Wednesday was 100 Platinum, 120 Gold and 560 Silver. The number of tickets sold on Thursday was 80 Platinum, 200 Gold and 280 Silver. If the revenue collected on Tuesday, Wednesday and Thursday was RM10,000, RM12,000 and RM10,000 respectively, find the price of each ticket for Platinum, Gold and Silver using matrix and Cramer's Rule, to make this campaign a success (20 marks) c) The following table shows the projected number of tickets sold for each category of ticket over a period of three months for a particular trip. The projected operating cost for the three months based on the projected number of tickets sold is also provided in the table. Use matrix to calculate the projected revenue for each month. With the aid of a graph, estimate the break-even revenue per month for KTM Berhad. Platinum Gold Silver Projected Cost Month 1 1200 3000 4500 RM300,000 Month 2 1300 3500 5000 RM320,000 Month 3 1500 4000 6000 RM340,000 (10 marks) [Total: 40 marks) ASSIGNMENT QUESTION QUESTION: 1 Solve the following business problems using matrix: a) KTM Berhad is conducting a survey on its daily ETS services to find its cost effectiveness between Ipoh and KL Sentral. It currently provides three types of services - Platinum, Gold and silver. The price of each ticket for adult per single trip is RM45, RM35 and RM25 respectively. If 100 Platinum, 180 Gold and 200 Silver tickets were sold on a selected trip on Saturday, 120 Platinum, 200 Gold and 250 Silver tickets were sold on a selected trip on Sunday and 80 Platinum, 150 Gold and 180 Silver tickets were sold on a selected trip on Monday, find the total revenue collected over the 3 days for the selected trips. (10 marks) b) During a campaign by KTM Berhad to increase the number of passengers travelling on Tuesday, Wednesday and Thursday, the price of tickets for Platinum, Gold and silver was reduced to X, Y and Z respectively. The number of tickets sold on Tuesday was 80 Platinum, 150 Gold and 380 Silver. The number of tickets sold on Wednesday was 100 Platinum, 120 Gold and 560 Silver. The number of tickets sold on Thursday was 80 Platinum, 200 Gold and 280 Silver. If the revenue collected on Tuesday, Wednesday and Thursday was RM10,000, RM12,000 and RM10,000 respectively, find the price of each ticket for Platinum, Gold and Silver using matrix and Cramer's Rule, to make this campaign a success (20 marks) c) The following table shows the projected number of tickets sold for each category of ticket over a period of three months for a particular trip. The projected operating cost for the three months based on the projected number of tickets sold is also provided in the table. Use matrix to calculate the projected revenue for each month. With the aid of a graph, estimate the break-even revenue per month for KTM Berhad. Platinum Gold Silver Projected Cost Month 1 1200 3000 4500 RM300,000 Month 2 1300 3500 5000 RM320,000 Month 3 1500 4000 6000 RM340,000 (10 marks) [Total: 40 marks)
