The Substitution Method

7.1.

Compute the value of the objective function $Z$ at all of the points of intersection. Type Z(A) for the point $A$, Z(B) for the point $B$, and so on. The point that yields the highest value of $Z$ is the optimal solution.

The Ruler Method

7.1.

Type w in an empty row in Algebra View and press Enter (if there is already another object with the name $w$, use another name instead). You should get a slider for the number $w$ in the same row. Enter the settings menu of the slider by clicking the three vertical dots in the row $w$ is on. Click the Slider pane, and set Min to 0 and Max equal to the smallest value of $A$ and $B$.

7.2.

In the next row in Algebra View, type

r(x) = -A*x/B+w

where you replace A and B with $A$ and $B$ from the exercise. You should get a line.

7.3.

Adjust the slider for the number $w$ so that $w$ increases, while making sure that at least one segment of the line remains within the feasible region. The line should eventually hit one point of intersection. This point is the optimal solution. If the line can’t reach a point of intersection, adjust Max in the slider settings accordingly.