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A furniture manufacturing company manufactures dining- room tables and chairs. A table requires 10 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 6 labor-hours for assembly and 2 labor-hours for finishing. The maximum labor hours available per day for assembly and finishing are 375 and 140, respectively. Write a system of linear inequalities that represents this situation. Use the following variables: Use for labor-hours spent working on tables and Use y for labor-hours spent working on chairs. Assembly: Finishing: ?

A furniture manufacturing company manufactures dining- room tables and chairs. A table requires 10 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 6 labor-hours for assembly and 2 labor-hours for finishing. The maximum labor hours available per day for assembly and finishing are 375 and 140, respectively. Write a system of linear inequalities that represents this situation. Use the following variables: Use for labor-hours spent working on tables and Use y for labor-hours spent working on chairs. Assembly: Finishing: ?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Overview:** A furniture manufacturing company produces dining-room tables and chairs. The requirements for each are as follows: - **Table:** - 10 labor-hours for assembly - 3 labor-hours for finishing - **Chair:** - 6 labor-hours for assembly - 2 labor-hours for finishing The company has a daily maximum of: - 375 labor-hours for assembly - 140 labor-hours for finishing The task is to write a system of linear inequalities that represent this situation. **Variables:** - \( x \): Labor-hours spent working on tables - \( y \): Labor-hours spent working on chairs **Inequalities:** - **Assembly:** - \( 10x + 6y \leq 375 \) - **Finishing:** - \( 3x + 2y \leq 140 \)
Transcribed Image Text:**Problem Overview:** A furniture manufacturing company produces dining-room tables and chairs. The requirements for each are as follows: - **Table:** - 10 labor-hours for assembly - 3 labor-hours for finishing - **Chair:** - 6 labor-hours for assembly - 2 labor-hours for finishing The company has a daily maximum of: - 375 labor-hours for assembly - 140 labor-hours for finishing The task is to write a system of linear inequalities that represent this situation. **Variables:** - \( x \): Labor-hours spent working on tables - \( y \): Labor-hours spent working on chairs **Inequalities:** - **Assembly:** - \( 10x + 6y \leq 375 \) - **Finishing:** - \( 3x + 2y \leq 140 \)
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