Question: Solve the following problems by DP. (a) Maximize z = 4x1 + 14x2 subject to 2x1 + 7x2 21 7x1 + 2x2 21

Solve the following problems by DP.

(a) Maximize z = 4x1 + 14x2 subject to 2x1 + 7x2 … 21 7x1 + 2x2 … 21 x1, x2 Ú 0

(b) Maximize z = 8x1 + 7x2 subject to 2x1 + x2 … 8 5x1 + 2x2 … 15 x1, x2 Ú 0 and integer

(c) Maximize z = 7x1 2 + 6x1 + 5x2 2 subject to x1 + 2x2 … 10 x1 - 3x2 … 9 x1, x2 Ú 0

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