Completeing a Comprehensive Schedule C with Home Office

This is a full tax return, but I only need help with the schedule C and the per diem, that is the only thing I do not understand.

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...n is $58/day*5 business days*.50=$145. Though he visited relatives for three days, he is still entitled to his full airfare, but his car rental and lodging must be prorated. Thus, his business-related car rental is $624*5 days of business/8 days traveling=$390 and his lodging is $636*5 days of business/8 days traveling=$398. His total travel-related deduction is thus:

Plane fare $723
Hotel ...