Find an Objective Function That Has a Minimum Value at the Indicated

Multiple Choice

Find an objective function that has a minimum value at the indicated vertex D of the constraint region shown below.

A) Answer will vary. Sample answer: $z = x + 3 y$ .
B) Answer will vary. Sample answer: $z = 3 x + y$ .
C) Answer will vary. Sample answer: $z = 3 ( x + y )$ .
D) Answer will vary. Sample answer: $z = 3 ( x + 2 y )$ .
E) Answer will vary. Sample answer: $z = 3 ( 2 x + y )$ .