Answer:
The feasible region is unbounded which is the shaded portion in the graph.
Step-by-step explanation:
Given that, the number of hours Jessie works as a teacher and tutor is y and x respectively, which can't be negative.
So, [tex]x\ge0\;\cdots(i)[/tex]
y\ge0\;\cdots(ii)
She works at least 36 hours a week.
[tex]\Rightarrow x+y\ge 36[/tex]
[tex]\Rightarrow y\ge 36-x\;\cdots (iii)[/tex]
She works as a teacher for al least twice the number of hours she works as a tutor.
[tex]\Rightarrow y\ge2x\;\cdots(iv)[/tex]
The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are
[tex]x=0, y=0, y=36-x[/tex] and [tex]y=2x[/tex].
The feasible region is the shaded portion which is the unbounded region as shown in the graph. Any point P(x,y) from the feasible region will satisfies all the constraints.
