The Tennessee Department of Highways is trying to decide whether it should “hot-patch” a short stretch of an existing highway or resurface it. If the hotpatch method is chosen, approximately 500 cubic meters of material would be required at a cost of $800/cubic meter (in place). If hot-patched, the shoulders will have to be improved at the same time at a cost of $24,000. The shoulders must be maintained at a cost of $3000 every 2 years. The annual cost of routine maintenance on the patched road is estimated to be $6000. Alternatively, the state can resurface the road at a cost of $500,000. If maintained properly, at a cost of $2000 per year beginning in the second year, the surface will last for 10 years. The shoulders would require reworking at the end of the fifth year at a cost of $15,000. Regardless of the method selected, the road will be completely rebuilt in 10 years. At an interest rate of 9%, which alternative should be chosen?
The Tennessee Department of Highways is trying to decide whether it should “hot-patch” a short stretch of an existing highway or resurface it. If the hotpatch method is chosen, approximately 500 cubic meters of material would be required at a cost of $800/cubic meter (in place). If hot-patched, the shoulders will have to be improved at the same time at a cost of $24,000. The shoulders must be maintained at a cost of $3000 every 2 years. The annual cost of routine maintenance on the patched road is estimated to be $6000. Alternatively, the state can resurface the road at a cost of $500,000. If maintained properly, at a cost of $2000 per year beginning in the second year, the surface will last for 10 years. The shoulders would require reworking at the end of the fifth year at a cost of $15,000. Regardless of the method selected, the road will be completely rebuilt in 10 years. At an interest rate of 9%, which alternative should be chosen?
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