Q1 Given the following integer program: max z = 10x1 + 17x2 + 11x3 + 13x4 s.t. 8x1 +4x2 + 5x3 +3x4 <= 12 x ∈ Z^4 By inspecting the constraint and the objective coefficients, find the optimal solution to the Linear Programming Relaxation of the Integer Program given above. What does the optimal value of the Linear Programming relaxation of the model suggest about the optimal value of the Integer Program? A) x4 =4; x1=x2=x3=0 the solution is optimal to the integer program B) x4=13/4; x1=x2=x3=0 The solution is a lower bound to the optimal solution of the integer program. C) x3=4; x1=x2=x4=0 The solution is optimal to the integer program. D) x4=4; x1=x2=x3=0 The solution is a lower bound to the optimal solution of the integer program. Which option is correct?
Added by David H.
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For this, we need to find all of the x-values that satisfy the constraints in the problem. Since the constraints in this problem are all linear, we can solve them all at once using the linear programming algorithm. The result of solving these constraints will Show more…
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