Write the constraint below as a linear inequality. A canoe requires 6 hours of fabrication and a rowboat 5 hours. The fabrication department has at least 109 hours of labor available each week. Let x be the number of canoes and let y be the number of rowboats. Choose the inequality that represents the given constraint. OA. 5x+6y≤ 109 OB. 5x+6y≥ 109 OC. 6x + 5y 2 109 OD. 6x + 5y ≤ 109 ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Exercise: Writing a Linear Inequality**

**Problem Statement:**

Write the constraint below as a linear inequality.

A canoe requires 6 hours of fabrication and a rowboat 5 hours. The fabrication department has at least 109 hours of labor available each week. Let \( x \) be the number of canoes and let \( y \) be the number of rowboats.

---

**Question:**

Choose the inequality that represents the given constraint.

- **A.** \( 5x + 6y \leq 109 \)

- **B.** \( 5x + 6y \geq 109 \)

- **C.** \( 6x + 5y \geq 109 \)

- **D.** \( 6x + 5y \leq 109 \)

**Explanation:**

The objective is to find the correct inequality that represents the constraint based on the hours needed for fabrication and the total hours available.
Transcribed Image Text:**Exercise: Writing a Linear Inequality** **Problem Statement:** Write the constraint below as a linear inequality. A canoe requires 6 hours of fabrication and a rowboat 5 hours. The fabrication department has at least 109 hours of labor available each week. Let \( x \) be the number of canoes and let \( y \) be the number of rowboats. --- **Question:** Choose the inequality that represents the given constraint. - **A.** \( 5x + 6y \leq 109 \) - **B.** \( 5x + 6y \geq 109 \) - **C.** \( 6x + 5y \geq 109 \) - **D.** \( 6x + 5y \leq 109 \) **Explanation:** The objective is to find the correct inequality that represents the constraint based on the hours needed for fabrication and the total hours available.
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