Suppose that A is the multiset that has as its elements the types of computer equipment needed by one department of a university and the multiplicities are the number of pieces of each type needed, and B is the analogous multiset for a second department of the university. For instance, A could be the multiset {107 ⋅ personal computers, 44 ⋅ routers, 6 ⋅ servers} and B could be the multiset {14 ⋅ personal computers, 6 ⋅ routers, 2 ⋅ mainframes}.a) What combination of A and B represents the equipment the university should buy assuming both departments use the same equipment?b) What combination of A and B represents the equipment that will be used by both departments if both departments use the same equipment?c) What combination of A and B represents the equipment that the second department uses, but the first department does not, if both departments use the same equipment? d) What combination of A and B represents the equipment that the university should purchase if the departments do not share equipment?
Suppose that A is the multiset that has as its elements the types of computer equipment needed by one department of a university and the multiplicities are the number of pieces of each type needed, and B is the analogous multiset for a second department of the university. For instance, A could be the multiset {107 ⋅ personal computers, 44 ⋅ routers, 6 ⋅ servers} and B could be the multiset {14 ⋅ personal computers, 6 ⋅ routers, 2 ⋅ mainframes}.
a) What combination of A and B represents the equipment the university should buy assuming both departments use the same equipment?
b) What combination of A and B represents the equipment that will be used by both departments if both departments use the same equipment?
c) What combination of A and B represents the equipment that the second department uses, but the first department does not, if both departments use the same equipment?
d) What combination of A and B represents the equipment that the university should purchase if the departments do not share equipment?
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