Find the point or points (x, y) that satisfy the given constraints and give the stated objective.
Given: x+2y>6
x+3y>7
x>0, y>0
Minimize: 3x=4y"
Where I have > I really mean > or equal to, but I couldn't figure out how to type that. Also, how would I maximize it?
Justin G
Favorite Answer
ok. not 100% on this but... here goes...
on the first inequality, solve for x. u get x>6 - 2y
then take that and plug it in for x on the 2nd one.
so u get (6 - 2y) + 3y > 7. solve for y.
y > 1
so back substitute that into the thing where u solved for x.
x > 6 - 2(1) ............... x> 4
plug your x and y values into the Minimixe function. 3(4)=4(1)
that gives u 12 = 4, obviously untrue. since y is ">" 1, it can be higher. make y=3, and you get 12 = 12.
i hope that's what the problem is asking.