Consider the problem below

Min z = 3A + 4B

s.t.

1A + 3B ≥ 6

1A + 1B ≥ 4

A, B ≥ 0

QUESTION 1:

Explain in your own words how you would graph the objective function (Min z = 3A + 4B). That is, explicitly capture the steps to plot the line z = 3A + 4B on the graph above. The points you use must be captured on the A and B axis above.

QUESTION 2:

How would you communicate the direction of improvement of the objective function on the graph above?  Explicitly describe your steps. Take the position of explaining this to a novicestudent who has just invested in your textbook to gain an understanding about their homework assignment.