Identify the vertices of the feasible region for the given linear programming constraints.
1 answer:
The vertices of the feasible region are as follows,
(-14, -11), (9, -11) and (6, 4)
What is a Feasible Region?
The area of the graph where all constraints are satisfied is the feasible solution zone or feasible region. It might also be thought of as the point where each constraint line's valid regions intersect. Any decision in this region would lead to a workable resolution for our objective function.
Vertices of the Feasible Region
As it can be seen in the graph, the vertices of the feasible region surrounded by the given constraints are:
(-14, -11), (9, -11) and (6, 4)
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Answer:
EG = 2 units
Step-by-step explanation:
Given that line q bisects EG at T , then
ET = TG ( substitute values )
x = x - 2 ( multiply through by 3 to clear the fraction )
x = 3x - 6 ( subtract x from both sides )
0 = 2x - 6 ( add 6 to both sides )
6 = 2x ( divide both sides by 2 )
3 = x
Then
ET = x =
× 3 = 1
TG = x - 2 = 3 - 2 = 1
Thus
EG = ET + TG = 1 + 1 = 2 units