Question: 1. Consider the following integer program: objective Max 2x +5y Subjective 2x+3y = 15; x+3y 0; x, y EZ (a) Sketch graph of the region.

1. Consider the following integer program:

1. Consider the following integer program: objective Max 2x +5y Subjective 2x+3y = 15; x+3y 0; x, y EZ (a) Sketch graph of the region. Determine the coordinates of the vertices for the correspond- ing linear program (including vertices with non-integer coordinates). (b) What is the optimal solution and optimal objective value to the linear program where the variables are not required to be integers? (c) List all of the integer-valued points that occur in the feasible region. (d) What is the optimal solution and optimal objective value for the integer program

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