Question: Consider the (partial) branch and bound tree developed for the following integer programming model. (IP) Minz=6x1+7x2+4x3subjectto4x1+6x2+9x345n..,2..,0.14 a) (5 pts) Provide the best lower bound for

Consider the (partial) branch and bound tree developed for the following

Consider the (partial) branch and bound tree developed for the following integer programming model. (IP) Minz=6x1+7x2+4x3subjectto4x1+6x2+9x345n..,2..,0.14 a) (5 pts) Provide the best lower bound for the optimal value of the IP. b) (5 pts) Provide the best upper bound for the optimal value of the IP. c) (5 pts) Is it possible to find an optimal solution by processing Node 2? Why? d) (5 pts) Consider Nodes 3 and 4. What can you say about these nodes? Explain. e) (5 pts) Show that any feasible solution of the IP satisfies the following inequality. x1+x2+x38

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