Question: Consider this linear optimization problem: maximize 4 x + 5 y + 6 z subject to 3 x + 2y

Consider this linear optimization problem:

maximize  4 x + 5 y + 6 z

subject to

3 x + 2y <= 100

y + 3 z <= 120

4 x + z <= 80

x, y, z should be non-negative.

Solve this and write down the value of x in the optimal solution.

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