Question: Solve the following optimization problems using Dynamic Programming (DP). 1. Objective Functions: Max Z= 8X 1 +7X 2 Constraints: 2X 1 + X 2

Solve the following optimization problems using Dynamic Programming (DP).

1.

Objective Functions:

Max Z= 8X1+7X2

Constraints:

2X1 + X2 <= 8

5X1 + 2X2 <=15

X1, X2 are non-negative integers

2.

Objective Function:

Max Z = 12X13 + 3X12 - 2X1 + 12X2 - X23

Constraints:

X1 + X2 <=3

X1, X2 are non-negative

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