Question: 6. (20 points) In the rod cutting problem, we are given a rod of length n, along with pi, which indicates the price of

6. (20 points) In the rod cutting problem, we are given a

6. (20 points) In the rod cutting problem, we are given a rod of length n, along with pi, which indicates the price of a rod/piece of length pi, for i = 0, 1, 2, ...., n. Consider the following instance: Po = 0, P = 2, P2 = 7,P3 15, P4 = 16 and n = 4. Let r; denote the maximum profit you can obtain by cutting a rod of length i into smaller pieces (or by making no cuts). What is the respective value of ro, r1, ..., r4? You must show how you obtained the values by applying the recurrence. =

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