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Show Calculations The City of Brighton is studying a 550-acre site on Route 401

ID: 2380044 • Letter: S

Question


Show Calculations

The City of Brighton is studying a 550-acre site on Route 401 for a new landfill. The startup cost has been calculated as follows:


Purchase cost: $400 per acre


Site preparation: $180,000




The site can be used for 20 years before it reaches capacity. Brighton, which shares a facility in Bath Township with other municipalities, estimates that the new location will save $40,000 in annual operating costs.


a. Should the landfill be acquired if Brighton desires an 8% return on its investment? Use the net-present-value method to determine your answer.


Explanation / Answer

he City of Brighton is studying a 550-acre site on Route 401 for a new landfill. The startup cost has been calculated as follows:

Purchase cost: $400 per acre

Site preparation: $180,000

The site can be used for 20 years before it reaches capacity. Brighton, which shares a facility in Bath Township with other municipalities, estimates that the new location will save $40,000 in annual operating costs.


a. Should the landfill be acquired if Brighton desires an 8% return on its investment? Use the net-present-value method to determine your answer.


a)40,000/1.08+40000/1.08^2+.....+40000/1.08^20-(180000)-(400*550)


=392978.51-180000-220000=-70021.49


so landfill wont be acquired



b)let rate be x


40000/(1+x)+...+40000/(1+x)^20=180000+220000=440000


1+x=1.06


x=0.06=6%