Question: 1. [20 Pt.] An optimization programming model is formulated as follows: Max. Z= x + 2y S. t. 3x + y > 3 x +

1. [20 Pt.] An optimization programming model is

1. [20 Pt.] An optimization programming model is formulated as follows: Max. Z= x + 2y S. t. 3x + y > 3 x + 3y > 2 - x + 2y = 2 5x + y = 15 2x - y = 4 x, y 20 and the constraints in the model are illustrated in a plot as A B E D F G H K L M N (i) [5 Pt.] As an LP problem, identify the feasible solution area. (ii) [5 Pt.] Which points are the extreme points? Find the coordinates of each extreme point. (iii) [5 Pt.] In the feasible solution area in (i), identify all the possible integer solution points as an IP problem. (iv) [5 Pt.] Based on (iii), compute the optimal objective values Zip in LP and Zip in IP, respectively

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