Question: Using the constraint region shown below, determine which of the following objective functions has (a) a maximum at vertex A, (b) a maximum at vertex

Using the constraint region shown below, determine which of the following objective functions has (a) a maximum at vertex A, (b) a maximum at vertex B, (c) a maximum at vertex C, and (d) a minimum at vertex C.
(i) z = 2x + y
(ii) z = 2x ˆ’ y
(iii) z = ˆ’x + 2y

$y 5. A(0, 4) \B(4, 3) 3- 2- C(5, 0) 1+ х -i 12 3 4$

y 5. A(0, 4) \B(4, 3) 3- 2- C(5, 0) 1+ -i 12 3 4

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