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Given the following all-integer linear program: Use EXCEL SOLVER.
Max 15x1 + 2x2
s. t. 7x1 + x2 < 23
3x1 - x2 < 5
x1, x2 > 0 and integer
a. Solve the (using SOLVER) as an LP, ignoring the integer constraints.
b. What solution is obtained by rounding up fractions greater than or equal to 1/2? Is this the optimal integer solution?
c. What solution is obtained by rounding down all fractions? Is this the optimal integer solution? Explain.
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