Write the Inequalities That Describe the Constraints on Production $0 \leq x \leq 84,0 \leq y \leq 84,7 x + 3 y \leq 210$

question 222

Multiple Choice

Write the inequalities that describe the constraints on production.
-The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 84 rings each day, using up to 210 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 7 man-hours to make one SST ring. Let x represent the number of VIP rings, and let y represent The number of SST rings.

• A) \(0 \leq x \leq 84,0 \leq y \leq 84,7 x + 3 y \leq 210\)
• B) \(x + y \leq 84,7 x + 3 y \leq 210 , x \geq 0 , y \geq 0\)
• C) \(0 \leq x \leq 84,0 \leq y \leq 84,3 x + 7 y \leq 210\)
• D) \(x + y \leq 84,3 x + 7 y \leq 210 , x \geq 0 , y \geq 0\)

---

Definitions:

Fixed Cost

A cost that does not change with an increase or decrease in the amount of goods or services produced or sold.

Unit Variable Cost

The cost associated with producing one additional unit of a product, including materials, labor, and other variable expenses.

Break-Even Analysis

A calculation to determine the sales level at which a company covers its costs, with no profit or loss.

Pattern Designers

Professionals who create templates for parts of garments or other items, ensuring they fit together perfectly to produce the intended design.