Final answer:
To allocate the total cost among land, land improvements, and a building, we can calculate the percentage of the total appraised value that each category represents and then calculate the allocated cost for each category.
Step-by-step explanation:
To allocate the total cost among the three categories, we need to determine the percentage of the total appraised value that each category represents:
Land: $225,000 / ($225,000 + $75,000 + $200,000) = 38.67%
Land Improvements: $75,000 / ($225,000 + $75,000 + $200,000) = 12.92%
Building: $200,000 / ($225,000 + $75,000 + $200,000) = 48.41%
Now we can calculate the allocated cost for each category:
Land: 38.67% * $352,755 = $136,316.71
Land Improvements: 12.92% * $352,755 = $45,599.86
Building: 48.41% * $352,755 = $170,838.43