Write the Inequalities That Describe the Constraints on Production $0 \leq 19 x + 16 y \leq 840 , x \geq 0 , y \geq 0$

question 149

Multiple Choice

Write the inequalities that describe the constraints on production.
-The Pen-Ink Company manufactures two ballpoint pens: silver and gold. The silver requires 7 minutes in a grinder and 12 minutes in a bonder. The gold requires 7 minutes in a grinder and 9 minutes in a bonder. The
Grinder can be run no more than 610 minutes per day and the bonder no more than 230 minutes per day. Let x Represent the silver pens and let y represent the gold pens.

• A) \(0 \leq 19 x + 16 y \leq 840 , x \geq 0 , y \geq 0\)
• B) \(7 x + 7 y \leq 610,12 x + 9 y \leq 230 , x \geq 0 , y \geq 0\)
• C) \(x + y \leq 610 , x + y \leq 230 , x + y \leq 840 , x \geq 0 , y \geq 0\)
• D) \(7 x + 12 y \leq 610,7 x + 9 y \leq 230 , x \geq 0 , y \geq 0\)

---

Definitions:

Imperfect Information

A situation where economic decision-makers do not have complete information or have misinformation, affecting their decisions.

Individual Preferences

refers to the specific desires, choices, and priorities of an individual, especially regarding consumption of goods and services.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be used simultaneously by more than one person without diminishing the value or availability to others.

Lack Perfect Information

A market condition where all participants do not have equal or complete information, affecting their decision-making.