Problem $1.$ Calculating Gain on Property. David purchased land in $2015$ for $$400,000$ and sold the land in $2023$ for $$800,000.$ Determine David$$s adjusted basis, amount realized, and realized gain or loss based on the following additional facts:

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$($i$)$ What if David purchased a small adjacent lot for $$50,000$ and combined the lots into one before the sale in $2023?$

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$($ii$)$ What if David invested $$50,000$ in the land in $2016$ to add a parking lot, then depreciated the parking lot by $$30,000$ between $2016$ and the date of sale in $2023?$

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$($iii$)$ Same facts as $($ii$)$ above, except that David earns $$35,000$ in parking fees between $2016$ and $2023.$