A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company’s employees working at these locations are Fraction of Building ai bi Workforce A 2 6 B 1 0 C 3 3 D 5 9 E 4 2 F 10 7

a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings.

b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings.

c. Find the gravity solution.

d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance?

e. Solve part

(d) assuming weighted Euclidean distance.