The layout of a processing plant, consisting of a pump (P), a water tank (T), a compressor (C), and a fan (F), is shown in Fig XXXXXXXXXXThe locations of the various units, in terms of their (x, y)...

The layout of a processing plant, consisting of a pump (P), a water tank (T), a compressor (C), and a fan (F), is shown in Fig. 1.26. The locations of the various units, in terms of their (x, y) coordinates, are also indicated in this figure. It is decided to add a new unit, a heat exchanger (H), to the plant. To avoid congestion, it is decided to locate H within a rectangular area defined by {-15 = x = 15, -10 = y = 10}. Formulate the problem of finding the location of H to minimize the sum of its x and y distances from the existing units, P, T, C, and F.