I hoped it did not sound way over done...
It also comes down to what the pattern is.. Curves would likely give you more waste.
I really like to try to not waste any fabric, so what can not be used in this top can find a home in another project.. I would say anything under a 1/2" wide likely does get tosssed and even those someone may have come up with a project for...
Our h- pup likes to be with us so a doggie bed he would laugh at..but a blanket on the bed would be just fine...I surpose the bits of waste used for bedding it economical, but I have concerns about them swallowing the bits...our house dog would not, but our out side dog(kenneled) would eat it. no joking...I can not believe fibers would digest well... he prefers a bed of straw and shavings and anything else in his kennel is just fair game...