Linear programming. 20) 3x + y ≤ 7; x + 2y ≤ 9; x ≥ 0; y ≥ 0 maximize the objective function: p = 2x + y show the graph

The value that maximize the objective function is the point (1,4)

Step-by-step explanation:

we have

----> inequality A

----> inequality B

----> inequality C

----> inequality D

Using a graphing tool

The solution is the shaded area

see the attached figure

The coordinates of the solution area are

we have

The Objective Function is equal to

To find out the value of x and y that maximize the objective function, substitute each ordered pair of the vertices in the objective function and then compare the results

For (0,0) -------->

For (0,4.5) -------->

For (1,4) -------->

For (2.33,0) -------->

The value that maximize the objective function is the point (1,4)