Question: Solve using dynamic programming hand written please. I mean dynamic programming stage by stage, like stage for Project D, then C, then B, and then

Solve using dynamic programming hand written please. I mean dynamic programming stage by stage, like stage for Project D, then C, then B, and then A

  1. Investment Planning. An investor has Php 20,000 to invest in four projects, A, B, C and D. The amounts that can be invested in the projects and the expected returns from the projects are given in the table below. For example, the investor may place Php 0 in B, or may place Php 2,500 and expect to regain the Php 2,500 plus Php 800. The investor may place Php 7,500 in B and expect to regain Php 7,500 plus Php 2,500.

Project Amount invested (Php) Expected return (Php)
A 5,000 1,000
10,000 3,000
B 2,500 800
7,500 2,500
C 6,000 1,800
8,000 2,800
D 12,000 3,750
15,000 4,700

The time horizon for the expected return is assumed to be the same. Also, note that the investor may place only the amounts listed for each project. For example, the investor may put only one of the amounts Php 0, Php 2,500, or Php 7,500 in B; an investment of Php 5,000 in B is not allowed.

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