Question: Consider the following mixed-integer linear program, Max 3x + 4x2 s.t. 3x + 7x, S 21 6x 5x, s 30 X, X, and x, integer

Consider the following mixed-integer linear

Consider the following mixed-integer linear program, Max 3x + 4x2 s.t. 3x + 7x, S 21 6x 5x, s 30 X, X, and x, integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. .xy 2 4 6 2 G 2 4 G 8 2 4 G 8 (b) Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. (Round the values of x, and the optimal solution to three decimal places, if necessary.) at (x,x) - Is this solution optimal? O Yes O No (c) Find the optimal solution for the mixed-integer linear program. (Round your answers to three decimal places, when necessary.) *t (x,, x,)-(

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