Question: Return to the knapsack problem of Exercise 12-29. (a) Explain why LP relaxation optimal solutions can be rounded to integer-feasible solutions by setting xn jd

Return to the knapsack problem of Exercise 12-29.

(a) Explain why LP relaxation optimal solutions can be rounded to integer-feasible solutions by setting xn jd

j=.

(b) Repeat the branch and bound computations of Exercise 12-29, this time rounding up each relaxation solution in this way to produce earlier incumbent solutions.

(c) Comment on the computational savings with rounding.

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