Step $1$: Under each demand scenario, try to figure out how much to produce for products A and B in Plants $1$ and $2$ in the gray area. The production plan you propose should maximize the profit under this demand scenario.

Step $2$: Calculate the corresponding profit given the production plan you proposed in the light blue area.

Step $3$: Calculate the overall expected profit that summarizing all the demand senarios$.$ Report it in the light green area.

Step $4$: Answer the following questions in the textbox.