Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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## Linear Programming Problem Find the indicated maximum or minimum value of the objective function in the linear programming problem. ### Objective Function Maximize \( f = 30x + 70y \) ### Subject to the Constraints 1. \( x + 2y \leq 48 \) 2. \( x + y \leq 30 \) 3. \( 2x + y \leq 50 \) 4. \( x \geq 0 \) 5. \( y \geq 0 \) Each constraint represents a condition that solutions must satisfy. These constraints form a feasible region when graphed, and the maximum or minimum of the objective function will occur at one of the vertices of this region.
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Transcribed Image Text:## Linear Programming Problem Find the indicated maximum or minimum value of the objective function in the linear programming problem. ### Objective Function Maximize \( f = 30x + 70y \) ### Subject to the Constraints 1. \( x + 2y \leq 48 \) 2. \( x + y \leq 30 \) 3. \( 2x + y \leq 50 \) 4. \( x \geq 0 \) 5. \( y \geq 0 \) Each constraint represents a condition that solutions must satisfy. These constraints form a feasible region when graphed, and the maximum or minimum of the objective function will occur at one of the vertices of this region.
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