layout IE

Problem IV - 40 points total ABC Manufacturing International has currently arranged the five departments. The following are the coordinates of the centers of the five departments: A (16,3), B (1,5), C (3, 2), D (6,5), and E (10,2). (a) (20 points) Given the x, y coordinates above. Determine the dimensions of departments D & E so that (1) The horizontal boundaries of departments B and C & D and E touch each other. (2) The vertical boundaries of departments A and E, departments C and E, and departments B and D touch each other. Assume that the departments are square or rectangular in shape. Their lengths and breadths are to be chosen so that the departments do not overlap and the conditions (1) and (2) are satisfied. If there is more than one feasible configuration, you are required to identify only one. (b) (20 points) Determine the following distance measures for department pair A & B: (1) Euclidean (ii) Squared Euclidean (iii) Rectilinear (iv) Tchebychev You must show all your calculations to get credit for the problem Final Answers: a) Dept D Dept E b) i) Euclidean (ii) Squared Euclidean (iii) Rectilinear (iv) Tchebychev