I think some thing is wrong here. I answered $50,000 and the answer is $35,000 and here is NINJA's explanation.
The interest, taxes, and miscellaneous itemized deductions are not deductible for AMT (alternative minimum tax). The medical expenses are deductible to the extent that they exceed 10% of AGI for both regular and AMT. Miscellaneous itemized deductions are deductible for regular tax (not AMT) only to the extent that they exceed 2% of the individual's AGI. For this taxpayer, the miscellaneous itemized deduction for regular tax would be limited to the amount exceeding AGI of $150,000 × 2% (or 0.02) = $3,000.
Therefore, the taxpayer would have as a miscellaneous itemized deduction $2,000 ($5,000 – $3,000). This deduction is not allowed for AMT and would be added back to taxable income to calculate the alternative minimum taxable income.
Add back:
Interest ($15,000) + Taxes ($18,000) + Miscellaneous itemized deductions ($5,000 – ($150,000 × 0.02)) = $35,000
BEC 79
FAR 86
AUD 79
REG 90