Question: Consider the KNAPSACK problem, but now instead of implementing the PTAS algorithm given in the book, we use a greedy approach of always picking the

Consider the KNAPSACK problem, but now instead of implementing the PTAS algorithm given in the book, we use a greedy approach of always picking the next item that maximizes the ratio of value over weight (as in the optimal way to solve the fractional version of the KNAPSACK problem). Show that this approach does not produce a c-approximation algorithm, for any fixed value of c.

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