INEQUALITIES (2 VARIABLES) Linear Programming (Page 7 of 7)

The four vertices are (0,2), (0,4), (3,0) and (5,3). Finally, test each of these ordered pairs in the objective function C = 4x + 3y. We can do this on the Home screen.

2nd QUIT key. CLEAR key.

4 Multiply key. 0 Plus key. 3 Multiply key. 2 ENTER key. Point (0,2)
4 Multiply key. 0 Plus key. 3 Multiply key. 4 ENTER key. Point (0,4)
4 Multiply key. 3 Plus key. 3 Multiply key. 0 ENTER key. Point (3,0)
4 Multiply key. 5 Plus key. 3 Multiply key. 3 ENTER key. Point (5,3)

 Calculator screen image.
Calculator screen image.

Based on the results, the minimum value of the objective function, 6, occurs at the point (0,2) and the maximum value of 29 occurs at (5,3).
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