Question: Please solve part a and b with the specifics listed as problem 6.3.a. for part a and problem 6.3.b. for part b. Consider the following

Please solve part a and b with the specificsPlease solve part a and b with the specificsPlease solve part a and b with the specificsPlease solve part a and b with the specifics listed as problem 6.3.a. for part a and problem 6.3.b. for part b.

Consider the following optimization problem: MIN: X1 + X2 Subject to: -4X1 + 4X2 = 1 -8X1 + 10X2 15 X1, X2 > 0 a. What is the optimal solution to the problem? b. Now suppose that X, and X2 must be integers. What is the optimal solution? Problem 6.3.a. Solve this problem as a MIN, not a max. What is the value of X2 in the optimal solution of the LP? Problem 6.3.b. Solve this problem as a MIN, not a max. What is the value of X2 in the optimal solution of the IP if both variables must be integer

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