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Find the optimal solution to the lp relaxation

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Reference no: EM132836987

Consider the following mixed-integer linear program:

Max. 2X1 + 3X2 s.t.4X1 + 9X2 ≤ 367X1 + 5X2 ≤ 35 X1, X2 ≥ 0 and X1 integer

a) Using desmos calculator graph the constraints for this problem. Indicate on your graph all feasible mixed integer solutions.

b) Find the optimal solution to the LP Relaxation. Round the value of X1 down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not?

c) Find the optimal solution for the mixed integer program.

Reference no: EM132836987

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