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 m2. Dock 1 (d) has been designated as the receiving dock, while dock 2 (dz) is used as the shipping dock. The probability of using dock d, 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: Product Family Area (ft) Load Rate 1 700 600 2 500 300 4 400 250 400 500 3 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 d 35 25 15 5 20 15 SS 10 10 15 20 65 45 35 25 15 15 75 65 SS 45 35 25 10 5 5 10 15 d. Distances from d Distances from da