Consider Problem 28 of this chapter. Suppose that two new machines,A and B, are to be located in the shop. Machine A has 1, and as the expected numbers of loads transported to the existing five machines, respectively, and machine B has 3, , and as the expected numbers of loads transported, respectively.

Furthermore, suppose that there are two loads per hour on average transported between the new machines. Assume a rectilinear distance measure.

a. Formulate the problem of determining the optimal locations of the new machines as a linear program.

b. If you have access to a computerized linear programming code, solve the problem formulated in part (a).