Well company has taken the third floor of a multistoried building for rent with a view to locate one of their zonal officers. There are five main rooms in this floor to be assigned to five managers. Each room has its own advantages and disadvantages. Some have windows, some are closer to the washrooms or to the canteen or secretarial pool. The rooms are of all different sizes and shapes. Each of the five manages were asked to rank their rooms preferences amongst the rooms 301, 302, 303, 304 and 305. Their preferences were recorded in a table as indicated below.

		Manager
M1	M2	M3	M4	M5
302	302	303	302	301
303	304	301	305	302
304	305	304	304	304
	301	305	303
		302

Most of the managers did not list all the five rooms since they were not satisfied with some of these rooms and they have left off these from the list.

Required: Assuming that their preferences can be quantified by numbers, find out as to which manager should be assigned to which rooms so that their total preference ranking is a minimum. (10 marks)