Suppose we produce x1 AA batteries by process P1 and x2 by process P2, furthermore x3 A batteries by process P3 and x4 by process P4. Let the profit for 100 batteries be $10 for AA and $20 for A. Maximize the total profit subject to the constraints 12x1 + 8x2 + 6x3 + 4x4 <= 120 (material) 3x1 + 6x2 + 12x3 +24x4 <= 180 (labor)

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter2: Systems Of Linear Equations
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Suppose we produce xAA batteries by process P1 and x2 by process P2, furthermore x3 A batteries by process P3 and x4 by process P4. Let the profit for 100 batteries be $10 for AA and $20 for A. Maximize the total profit subject to the constraints

12x1 + 8x2 + 6x3 + 4x4 <= 120 (material)

3x+ 6x2 + 12x3 +24x4 <= 180 (labor)

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