A company has a budget of $280,000 for computing equipment. Three types of equipment are
available: microcomputers at $2000 each, terminals at $500 each, and word processors at $5000 each. There
should be ﬁve times as many terminals as microcomputers and two times as many microcomputers as word
processors. Express the problem described above as a system of linear equations. Then express
the linear system of equations as a linear combination of vectors (with unknown scalar multiples)
resulting in a known vector.

Question

A company has a budget of $280,000 for computing equipment. Three types of equipment are 
available: microcomputers at $2000 each, terminals at $500 each, and word processors at $5000 each. There 
should be ﬁve times as many terminals as microcomputers and two times as many microcomputers as word 
processors. Express the problem described above as a system of linear equations. Then express 
the linear system of equations as a linear combination of vectors (with unknown scalar multiples) 
resulting in a known vector.