A construction company wants to determine the optimal replacement policy for the earth mover it owns. The company has a policy of not keeping an earth mover for more than five years, and has estimated the annual operating costs and trade-in values for earth movers during each of the five years they might be kept as:

Assume that new earth movers currently cost $25,000 and are increasing in cost by 4.5% per year. The company wants to determine when it should plan on replacing its current, 2-year-old earth mover. Use a 5-year planning horizon.
a. Draw the network representation of this problem.
b. Write out the LP formulation of this problem.
c. Solve the problem using Solver. Interpret yoursolution.

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Age in Years 2-3 0-1 1-2 3-4 4-5 Operating Cost $8,000 %9,100 $10,700 9,200 $11,000 Trade-in Value $14,000 9,000 $6,000 $3,500 $2,000