Question 4 [10 marks]: a) [5 marks] An existing warehouse will be used for the storage of four product families. The warehouse consists of 24 bays, each 10 x 10 m. Dock 1 (d) has been designated as the receiving dock, while dock 2 (d) is used as the shipping dock. The probability of using dock d and dock d are 0.8 and 0.2, respectively. The area requirement and monthly load rate for each product family are shown in the following table: Product Family Area (ft) Load Rate 1 700 600 2 500 400 3 300 500 4 400 250 Determine the layout that will minimize the total expected travel distance. (Hint: Use the calculated distances from each depot.) 30 25 20 20 25 30 55 45 35 25 15 5 25 20 15 15 20 25 55 45 35 25 15 5 20 15 10 10 15 20 65 55 45 35 25 15 15 55 65 5 10 10 75 45 35 5 25 15 d Distances from d Distances from d b) [5 marks] Black stacking is used for the storage of 60 units loads. The dimension of the unit load are LxW = 4852. A clearance of 8 unit distance is provided between storage rows. The storage aisle is 156 unit distance wide. The product is stacked four levels high in the warehouse. Determine the depth of the storage rows that will minimize the average amount of floor space required. (Note: Discrete case is assumed) d