Which term best describes the solution of the situation represented by the system of inequalities? (Assume that x >= 0 and y >= 0.)
x + 2y <= 4
x – y <= 1
f(x, y) = 3x + 2y
The terms are
one optimal solution
unbounded
infeasible
alternate optimal solutionss
2 answers
I don't know what the middle equation is.
x + 2y <= 4 transforms to:
y ≤ 2 - (x/2) ...(1)
x – y <= 1 transforms to:
y ≥ x-1
The two inequalities (or equalities) intersect at (2,1), which is an optimal point with the objective function
f(x,y)=3*2+2*1=8
See:
http://img80.imageshack.us/img80/4674/1285455307.png
y ≤ 2 - (x/2) ...(1)
x – y <= 1 transforms to:
y ≥ x-1
The two inequalities (or equalities) intersect at (2,1), which is an optimal point with the objective function
f(x,y)=3*2+2*1=8
See:
http://img80.imageshack.us/img80/4674/1285455307.png
1 answer