In $2023,$ Matteo drove from his home in Los Angeles to Oregon to consult with a client. He worked for $1$ day and spent $3$ days enjoying Oregon since the consultation was right before a $3-$day weekend. Matteo's expenses were $$175$ to drive to Oregon and back, $$600$ for lodging, $$50$ for food from a convenience store on the day that he worked, and $$125$ for restaurant food on the other $3$ days. How much of his travel expenses are deductible?

a$.$ $$175$

b$.$ $$350$

c$.$ $$800$

d$.$ $$200$