It’s quite possible to do this for under $15. As long as you place absolutely no value on your time and you can get a free computer.
An Arduino, a potentiometer and a spring will make a computer-readable scale ( F = kx, remember?) that can be calibrated very accurately if you take the time to do it. You can buy Arduino clones wholesale for $2 each. In fact, I could come up with cheaper ways to do it, but at some point you have to ask what the point is.
What are you trying to do that absolutely must be done for under $15? I’ll happily build it for you for $1,500.00