a) [5 marks] An existing warehouse will be used for the storage of four product families. The warehouse consists of 24 bays, each 1010m2. Dock 1(d1) has been designated as the receiving dock, while dock 2(d2) is used as the shipping dock. The probability of using dock d1 and dock d2 are 0.8 and 0.2 , respectively. The area requirement and monthly load rate for each product family are shown in the following table: Determine the layout that will minimize the total expected travel distance. (Hint: Use the calculated distances from each depot.) b) [5 marks] Black stacking is used for the storage of 60 units loads. The dimension of the unit load are LW=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)