Question

Jessie works at least 36 hours a week. She works as a math

Answer 1

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, $x\ge0\;\cdots(i)$

y\ge0\;\cdots(ii)

She works at least 36 hours a week.

$\Rightarrow x+y\ge 36$

$\Rightarrow y\ge 36-x\;\cdots (iii)$

She works as a teacher for al least twice the number of hours she works as a tutor.

$\Rightarrow y\ge2x\;\cdots(iv)$

The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are

$x=0, y=0, y=36-x$ and $y=2x$.

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.