A machine operator processes five types of items on his machine each week, and must choose a sequence for them.

A machine operator processes five types of items on his machine each week, and must choose a sequence for them. The set-up cost per change depends on the item presently on the machine and the set-up to be made according to the following table:From ItemTo itemABCDEA∞4734B4∞634C76∞75D337∞7E4457∞If he processes each type of item once and only once each week, how should he sequence the items on his machine in order to minimize the total set-up cost?(Hint: A-> E -> C-> B-> D-> A Cost: 20)