Question: Linear Programming Consider the feasible region in the xy-plane defined by the following linear inequalities. X is greater than or equal to 0. Y is

Linear Programming

Consider the feasible region in the xy-plane defined by the following linear inequalities.

X is greater than or equal to 0.

Y is greater than or equal to 0.

X is less than or equal to 10.

X+y is greater than or equal to 6.

X+2y is less than or equal to 18.

Part 2.

1. Find the coordinates of the vertices of the feasible region. Clearly show how each vertex is determined and which lines form the vertex.

2.Find the value of Q=58x+73y for each vertex

3. What are the maximum and the minimum values of the function Q on the feasible region.

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