How much do full-time care gives cost?

My wife is a CNA. She and I have a very nice living arrangement. We're live-in care gives for an elderly man who is the father of a family friend. We are paid $1,200 USD / month in addition to free rent and utilities. The arrangement was that my wife would help in the morning and the evening, Monday - Friday, then sometimes during the middle of the day when help is needed. We'd have basic cleanup, cooking, and shopping responsibilities. Unfortunately, circumstances have not been as they're outlined and it feels a little like we're getting taken advantage of. This job has turned into an all day most days thing for my wife, and we can't have a single weekend to ourselves without getting called home for "emergencies" that are not emergencies.

If this were a 40 hrs / week gig, the pay would average out to a little less than $7 / hour. Factoring in the cost of rent (since we get free housing), maybe a total wage of $15 / hour altogether for our state's housing costs.

If they hired a professional rather than us, how much would they be being charged? I mean, this was a much better alternative to a retirement home, which would be a minimum of $6,000 / month in our state, but that includes food, activities, medical checks, etc.