Question 2 [8 marks]: An existing warehouse will be used for the storage of three product families. The warehouse consists of 12 bays, each bay is 5x5 m-2. Dock 1 (dl) on the left side of the warehouse is used as the receiving dock, while docks 2,3 (d2,d3) on the right side of the warehouse are used as the shipping docks. The probability of using the receiving dock is 0.2 while the probability of using the shipping docks is 0.8. Note that the shipping docks are equally likely to be used. All of the three product families require the same area for storage. The monthly throughput for each product family is shown in the following table: Product Throughput A 400 B 200 600 Determine the layout that will minimize the total expected travel distance, the distance from each dock is given in the following figures. 5 10 25 15 20 15 15 20 10 5 20 10 6 5 10 15 20 20 15 10 5 20 15 10 5 10 15 20 25 25 20 15 5 10 20 15 10 Question 2 [8 marks]: An existing warehouse will be used for the storage of three product families. The warehouse consists of 12 bays, each bay is 5x5 m-2. Dock 1 (dl) on the left side of the warehouse is used as the receiving dock, while docks 2,3 (d2,d3) on the right side of the warehouse are used as the shipping docks. The probability of using the receiving dock is 0.2 while the probability of using the shipping docks is 0.8. Note that the shipping docks are equally likely to be used. All of the three product families require the same area for storage. The monthly throughput for each product family is shown in the following table: Product Throughput A 400 B 200 600 Determine the layout that will minimize the total expected travel distance, the distance from each dock is given in the following figures. 5 10 25 15 20 15 15 20 10 5 20 10 6 5 10 15 20 20 15 10 5 20 15 10 5 10 15 20 25 25 20 15 5 10 20 15 10