Consider the Following Integer Linear Program

question 2

Essay

Consider the following integer linear program
Max
5x₁ + 7x₂ + 9x₃
s.t.
2x₁ + 3x₂ + 4x₃ ≤ 8
x₁ ≤ 3
x₂ ≤ 2
x₁, x₂, x₃ ≥ 0, integer
​
a.Set up the network that represents the dynamic programming formulation.
b.Solve the problem using dynamic programming.

---

Definitions:

Fair Adjustment

A reasonable modification or change made to rectify or balance a situation.

Straightforward Statement

A clear and unambiguous expression or declaration that is easy to understand and interpret.

Direct Approach

A straightforward method of communication or problem-solving that involves dealing with issues openly and explicitly.

Positive Messages

Communications that convey good news, affirmative updates, or positive feedback, often used to build morale or reinforce good behavior.