mb i assume that your yield varies based on food available. but my question was being centered more around the number of boxes needed to produce a yield of 300lbs whether for eg. you needed 5 supers along with 3 brood chambers. trot kinda answered cvause i am again assuming that for 9 boxes high you are looking at about 4 boxes just for brood.
First you must have all queen such that they lay in 2 deeps. It is not easy. You may put two small hive together and so you have one queen's brood only to nursed with 2 hives foragers.
Then you have 3 brood chambers + 4-5 supers (medium)
Then you must have a good pasture. If you have good pastures very near, it will not succeed.
IF you have unlimited pastures and weather is favourable, bees get here in Finland those 300 lbs in 2-3 weeks from canola or from fireweed or from raspberry.
Last summer I had 50 hectars canola around hives and hives were only 5 pieces. They got on average about 120 lbs honey. It was really dry and hot.
But in some places when flowers stopped blooming bees start to carry honeydew. Yield was tremendous and capped from top to toe. We have no rain and aphid's juice accumulated on branches. It is really good stuff.
My nabourg beekeeper got yield on average 280 lbs per hive. He has hives near bog area where water is always near surface. Summer was extremely hot and yield period was 6 weeks. Normally yield period is here 1-3 weeks when surplus comes into hives. And if you leave 50% of your yield into hive there it is, but I know no one who does that here. He must be sick if he does.
Normally our professionals talk about 80 lbs per hive. They like to use 4-deep system because it is friendly to body if you have 600 hives and you go them through all the time a couple of minutes per hive. Capped honey box off and empty combs in.