The Department of Public Works is trying to decide between "patching" a road or repaving it completely. If the "patching" system is used, approximately 300 cubic meters of material will be required, at $25 per cubic meter (on site). Additionally, the berms will need to be re-constructed, which will cost $3000. The annual cost of routine maintenance of the "patched" road would be $4000. Repairs would only last 2 years, after which they would have to be re-made. The other alternative is for the department to repave the entire road, which would cost $65,000. This area would last 10 years if the road were maintained at a cost of $15000 per year, starting in 4 years. Regardless of which alternative is chosen, the road will be rebuilt within 10 years. If the interest rate is 13% per year, which alternative should the department select, based on present value?
The Department of Public Works is trying to decide between "patching" a road or repaving it completely. If the "patching" system is used, approximately 300 cubic meters of material will be required, at $25 per cubic meter (on site). Additionally, the berms will need to be re-constructed, which will cost $3000. The annual cost of routine maintenance of the "patched" road would be $4000. Repairs would only last 2 years, after which they would have to be re-made. The other alternative is for the department to repave the entire road, which would cost $65,000. This area would last 10 years if the road were maintained at a cost of $15000 per year, starting in 4 years. Regardless of which alternative is chosen, the road will be rebuilt within 10 years. If the interest rate is 13% per year, which alternative should the department select, based on
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