To answer the original question: The loan requires a minimum of $5,000 in eligible improvements. Most rehab items are eligible, and you have to accumulate this amount improving the function, health, and safety of the property before including smaller items like painting or appliances. The HUD 203(k) handbook specifies that luxury items and improvements that do not become a permanent part of the real property are not eligible. It gives the following blurb as examples of ineligible items:
"Barbecue pits; bath houses; dumbwaiters; exterior hot tubs, saunas, spas, and whirlpool baths; outdoor fireplaces or hearths; photo murals; swimming pools; television antennas and satellite dishes; tennis courts; tree surgery. Additions or alterations to provide for commercial use are not eligible."
Although, as you might infer from the above posts (and other threads on the topic), some lenders may have more restrictive requirements or may not have a clear understanding of the rules.
Source: HUD 4240.4 Rev-2, 203k Handbook, Rehabilitation Home Mortgage Insurance, Section 1-7 Eligible Improvements.