A state highway department is trying to decide whether it should “hot-patch” a short section of an existing county road or resurface it. If the hot-patch method is used, approximately 300 cubic meters of material would be required at a cost of $700 per cubic meter. Additionally, the shoulders will have to be improved at the same time at a cost of $24,000. These improvements will last 2 years, at which time they will have to be redone. The annual cost of routine maintenance on the patched up road would be $5000. Alternatively, the state can resurface the road at a cost of $850,000. This surface will last 10 years if the road is maintained at a cost of $2000 per year beginning 3 years from now. No matter which alternative is selected, the road will be completely rebuilt in 10 years. At an interest rate of 8% per year, which alternative should the state select on the basis of an annual worth analysis? Do NOT use excel. Be sure to explicitly write out the appropriate formulas and corresponding values in your solution.