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Please assist urgently InSight Limited imports reading glasses from China for sale in a Southem African country. During the 2021 financial year, the company adhered

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InSight Limited imports reading glasses from China for sale in a Southem African country. During the 2021 financial year, the company adhered to the policy of importing 6000 pairs of read ing glasses every month. The actual monthly sales of reading glasses by ln Sight Limited during the 2021 financial year is depicted in Table 2.1 below. The company paid R5 000 to place an order for the reading glasses and a carrying cost of R2.00 for each pair of reading glasses during 2021. January 2021 Table 2.1: Actual sales data for the reading glasses during 2021 3.1 Using the actual sales data provided above, determine the economic order quantity (EOQ) of reading glasses for 2021 financial year. (6 marks) 3.2 Using the EOQ model, determine the number of orders for reading glasses placed by InSight Limited during 2021. (3 marks) 3.3 Suppose that the reading glasses arive at the premises of Insight Limited 7 days after an order has been placed, determine the level at which Insight Limited had to replenish the stock during 2021 (Assume a 350 working days during 2021). 3.4 Determine how much Insight Limited would save by switching from the current ordering policy to the economic order quantity model. (7 marks) QUESTION 4 (20 marks) Using the sales data of the reading glasses in Table 2.1 (question 3), answer the following questions: 4.1 Calculate the three-month-weighted-moving-average monthly forecasts for the period April 2021 - December 2021. Use weights of 0.5, and 0.2 for the most recent and oldest monthly data respectively and 0.3 for the middle month (show all workings). (9 marks) 4.2 Determine the Mean Absolute Deviation (MAD) of the three-month-weighted-movingaverage monthly forecasts for the April - December 2021 period. (4 marks) a. The linear regression equafion of the sales of reading glasses for the 2021 financial year is given by the expression: y=201.4x+4091 (where ' y ' denotes monthly sales, and ' x ', the number representing the month. For example, x=1,2,3, etc., if the month is January, February, March, etc.). Use the regression equation to determine the Mean Absolute Deviation (MAD) of the regression forecasts for the April - December 2021 period. (5 marks) b. Which of the two methods is better at forecasing the sales of the reading classes? Explain. (2 marks) QUESTION 5 (20 marks) Study the case below and answer all questions that follow. Youare an operations analystat MPQ Limited, a manulacturer of broad range of ele ctric motorcycles. One of your main responsibilites is the development of an aggregate plan for the company. a. Specify the basic capacity or demand options that you would rely on to produce an effective aggregate plan for MPQ Limited. b. You have been tasked with the development of an aggregate plan for the year ended 31 December 2022. Accordingly, you have developed monttly forecasts for a range of motorcycles as presented in Table 5.1, below. Table 5.1: The demand forecast developed for the year ended 31 December 2022. c. Compute and tabulate the daily demand for each month in the table below (round off to the nearest whole number). (6 marks) InSight Limited imports reading glasses from China for sale in a Southem African country. During the 2021 financial year, the company adhered to the policy of importing 6000 pairs of read ing glasses every month. The actual monthly sales of reading glasses by ln Sight Limited during the 2021 financial year is depicted in Table 2.1 below. The company paid R5 000 to place an order for the reading glasses and a carrying cost of R2.00 for each pair of reading glasses during 2021. January 2021 Table 2.1: Actual sales data for the reading glasses during 2021 3.1 Using the actual sales data provided above, determine the economic order quantity (EOQ) of reading glasses for 2021 financial year. (6 marks) 3.2 Using the EOQ model, determine the number of orders for reading glasses placed by InSight Limited during 2021. (3 marks) 3.3 Suppose that the reading glasses arive at the premises of Insight Limited 7 days after an order has been placed, determine the level at which Insight Limited had to replenish the stock during 2021 (Assume a 350 working days during 2021). 3.4 Determine how much Insight Limited would save by switching from the current ordering policy to the economic order quantity model. (7 marks) QUESTION 4 (20 marks) Using the sales data of the reading glasses in Table 2.1 (question 3), answer the following questions: 4.1 Calculate the three-month-weighted-moving-average monthly forecasts for the period April 2021 - December 2021. Use weights of 0.5, and 0.2 for the most recent and oldest monthly data respectively and 0.3 for the middle month (show all workings). (9 marks) 4.2 Determine the Mean Absolute Deviation (MAD) of the three-month-weighted-movingaverage monthly forecasts for the April - December 2021 period. (4 marks) a. The linear regression equafion of the sales of reading glasses for the 2021 financial year is given by the expression: y=201.4x+4091 (where ' y ' denotes monthly sales, and ' x ', the number representing the month. For example, x=1,2,3, etc., if the month is January, February, March, etc.). Use the regression equation to determine the Mean Absolute Deviation (MAD) of the regression forecasts for the April - December 2021 period. (5 marks) b. Which of the two methods is better at forecasing the sales of the reading classes? Explain. (2 marks) QUESTION 5 (20 marks) Study the case below and answer all questions that follow. Youare an operations analystat MPQ Limited, a manulacturer of broad range of ele ctric motorcycles. One of your main responsibilites is the development of an aggregate plan for the company. a. Specify the basic capacity or demand options that you would rely on to produce an effective aggregate plan for MPQ Limited. b. You have been tasked with the development of an aggregate plan for the year ended 31 December 2022. Accordingly, you have developed monttly forecasts for a range of motorcycles as presented in Table 5.1, below. Table 5.1: The demand forecast developed for the year ended 31 December 2022. c. Compute and tabulate the daily demand for each month in the table below (round off to the nearest whole number). (6 marks)

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