cows and corn

thinking... farmers are given subsidies to not grow food on large areas of land. this is so food prices stay at a regular/stable level and the countries economy doesn't go down the drain. also cows give off large amounts of methane which is a greenhouse gas, partially because a large amount of their diet is corn based which is not the normal food for cows. and causes lots of cows to be less tasty than grass fed cows. also many farmers are losing money because the supply of corn is greater than the demand which is one of the reasons their are so many products with corn in them nowadays (farmers keep trying to find new people to sell thier corn to ex. cow farmers, grosherie stores, resturaunts, scientists including scientists who make plastic out of stuff they get out of corn, other countries, hippies who make stuff out of corn, ect.). so what if farmers diversified their crops by planting something else on even just a few dozen acres. to give us a greater amount of variety in our diets. this would slightly raise the price of corn and help farmers make more money because it would be a little less common and would force cow farmers to buy something else than the cheapest thing they can get their hands on (corn if you didn't guess). i know that it is comparatively easy and labor efficient to grow genetically modified corn over huge tracts of land but i think that Americas knowledge of food is growing and once all of the ways to cook corn or tear it apart to make another synthetic product are discovered then people will want to start cooking and building with other fruits and vegetables. to clarify i would be interested in finding out if farmers would be willing to cut down on the corn land and grow another edible plant for us to eat and take all the land that nothing is growing on (exempt for grass i assume) and feed the grass to the cows to make them taste better and fart less. i don't know if mowing their grass and selling it to cow farmers would count against their federal contracts but if it does then it shouldn't because farmers don't get paid enough to not be allowed to use all the land that they can and its not like the price of grass would affect grosherie stores and thus the general american economy unless the price of the better tasting cows is passed down the line to them but that wouldn't make sense because all that would be changed would be that cows are eating different food and they get a larger selection of produce to sell. and i don't think that grosherie stores really care what cows are being fed as long as its not poisonous and it doesn't raise the price of the meat that they buy. most of this would apply to big farms that only grow one or two different crops