You would like to feed home-grown forages to your lactating dairy cows. You have corn silage (35%DMB) and alfalfa hay (93.3%DMB) available to feed. After some careful ration balancing you decide that your cows need a total of 18kg of dry matter coming from the forage portion of your ration

If you decided that you were going to feed only corn silage, how many kg of corn silage on an as fed basis (AFB) would it take to supply the required 18kg of DM?

If you decided that you were going to feed only alfalfa hay, how many kg of alfalfa hay as fed basis (AFB) would it take to supply the required 18kg of DM?

What if you wanted to have half of the DM to come from each of corn silage and alfalfa hay? How many kg of each would you have to feed in an AFB?

What if you wanted to feed the required amount of DM (18kg) using equal amounts of Alfalfa hay and CS on an AFB??How much of each would you have to feed to provide the requisite amount of DM? This problem requires the use of some long dormant algebra skills (simultaneous equations) because there are two (!!) unknowns..