How much will cost to have new tires mounted for a r6 motorcycle?
Ask your local tyre dealer. There are 1000's of different tyres that will fit that bike, all a different price.
No the ride should be crisper, quicker more stable. Check the air pressure those are the symptoms of low pressure.
First, check the air pressure in both tires, if anything the bike should have felt MORE responsive than less (unless you bought some cheap-*** POS tires). Could be some brake drag at first if your bike has disc brakes, but that would diminish after a few slow-downs using the brakes.
Yeah its possible to notice the ride change but if it feel like it sluggish you might have a draging brake and the wheel is out of alignment take it back to the shop and let them know it feels like some thing is holding the bike back
If your question means the labor cost I would ask a couple of local bike shops as there is no fixed price for that. If you want a price of tires plus labor you would need to have a quote on the same brand etc of the tires as the prices of tires are so variable. Sorry I can't be more helpful.