At first blush, it would appear that the core uplinks are way oversubscribed. However, before making any capital investment I'd recommend setting up some performance monitoring to see just how things look by gathering empirical data and then moving on to fact-based decision making. Invest $1000 or so in Solarwinds or other easy to use monitoring system (if you're handy with software and don't mind wokring under the hood, try one of the open source tools - mrtg or cacti). Once you have data, you can make better-informed decisions about architecture.
If end users have applications stored locally and data as well, things might be in not so bad shape. If they have big data sets and files on central servers, things are probably strained. If they really pull applications from servers (client software and all), then they are probably banging on your door. All of these scenarios might lead one to different architectural decisions (and attendant costs). That alpine swithc in the core is a bit long in the tooth and may be a bottleneck if you need to increase uplink quantities and throughput.
You say they have gigabit ports (10/100/1000?). How many of them are actually running at 1 Gbps? The APs are likely somewhat self-limiting due tho the shared bandwidth nature of the clients - unless you have high density client access and something like micro/pico cells.
Hope this helps. Please rate helpful posts.
