Question: Consider the following linear programming model: Maximize Z = 2x1+ x2 subject to x210 2x1+ 5x260 x1+ x218 3x1+ x2 44 x1,x20 a.[0.8Mark] In one

Consider the following linear programming model:

Maximize Z = 2x1+ x2

subject to

x210

2x1+ 5x260

x1+ x218

3x1+ x2 44

x1,x20

a.[0.8Mark] In one single graph, show the feasible region.

b.[0.7Mark] Determine the corner feasible points (show your calculations)

c.[0.3Mark] What is the optimal solution to the problem?

d.[0.2Mark] What is the optimal objective value?

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