Using the following flow-between chart and location information, answer the following questions. Assume the grid size in the location data be 2 times 2 sq. units. Location Information rightarrow (a) What are the x_ ik values (where i refers to a department and k refers to a location) for Layout 1 shown below? Layout rightarrow (b)What is the cost of the Layout 1? (c) Is Layout 1 optimal? (d) What constraint would you add to the QAP formulation shown in the class to permanently fix Dept 5 in Location D? Using the following flow-between chart and location information, answer the following questions. Assume the grid size in the location data be 2 times 2 sq. units. Location Information rightarrow (a) What are the x_ ik values (where i refers to a department and k refers to a location) for Layout 1 shown below? Layout rightarrow (b)What is the cost of the Layout 1? (c) Is Layout 1 optimal? (d) What constraint would you add to the QAP formulation shown in the class to permanently fix Dept 5 in Location D