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Determining the optimal integer solution

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Reference no: EM132182130

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.

Reference no: EM132182130

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