The Quantum Optix spinning reels aren't dedicated carp reels, but for an affordable price they could be good, respectable reels for a variety of fish species.
Size 40 and size 60 are still available from Quantum for under $23. Quantum = Zebco.
There is a 5 year warranty from the manufacturer. The reels hold more than 100 yds of 17 lbs (roughly 65# braid diameter) monofilament according to the manufacturer.
If you prefer a combo package (reel and rod) here's an option around $50 for a fast action, medium, 8' rod. It's not a carp rod, but it looks pretty reasonable for a "starter" set or for someone who only occasionally fishes for carp and doesn't need to cast more than 40 - 50 yds from shore. Quantum has a medium-heavy option if you need to use more than a couple ounces of lead or cast more than 50 yds.
