In: Advanced Math
Question 1. The math department needs a printer in the computer
room of the second floor of MSB, and the department is planning the
purchase and maintenance schedule of the printer for the next six
years. The cost of a new printer is $80, and it can be used for at
most five years. The maintenance cost each year of operation is as
follows: year 1, $30; year 2, $40; year 3, $60, year 4, $90; year
5, $100. The department just purchased a new printer, and assume a
printer has no salvage value. Formulate a shortest path problem to
minimize the total cost of purchasing and operating a printer for
the next six years. (Note: you need to draw a network, clearly
explain the meaning of the nodes, arcs and clearly give the cost on
each arc. You don’t need to solve it).