I just wanted to make sure that with this particular problem, the designated independent and dependent variable doesn't matter.
Problem:
Farmer McGregor plants oats and wheat on his farm. For conservation purposes, he plants at least twice as many acres of wheat as oats. He can handle up to a total of 540 acres of planting. What combinations of plantings can he consider?
My solution was:
x = acres of wheat
y = acres of oats
Therefore,
y <= x + 540
and
y<= (1/2)x
Obviously, Constraints x >=0, y >= 0
This creates a shaded inequality along the xaxis as in the first attached graph. The solutions manual designates x = acres of oats, y = acres of wheat and gets a shaded inequality graph along the yaxis. So basically, it the independent and dependent variables don't matter in a problem like this?
Thanks for the help,
Problem:
Farmer McGregor plants oats and wheat on his farm. For conservation purposes, he plants at least twice as many acres of wheat as oats. He can handle up to a total of 540 acres of planting. What combinations of plantings can he consider?
My solution was:
x = acres of wheat
y = acres of oats
Therefore,
y <= x + 540
and
y<= (1/2)x
Obviously, Constraints x >=0, y >= 0
This creates a shaded inequality along the xaxis as in the first attached graph. The solutions manual designates x = acres of oats, y = acres of wheat and gets a shaded inequality graph along the yaxis. So basically, it the independent and dependent variables don't matter in a problem like this?
Thanks for the help,
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