Tackstrip is wood strips with little nails sticking up at an angle that grab the carpet.
Putting down tackstrip is the first thing done on a carpet job.
There are 2 main types of tackstrip... wood and concrete
15 by 14 is 210 Sq ft which is 23.33 yards If installation is 5$ a yard Pad is 3$ a yard. Carpet you get a 12 $ a yard carpet (med. Grade) So right at about 500$ is what you'd be looking at