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) $7 x + 12 y \leq 610,7 x + 9 y \leq 230 , x \geq 0 , y \geq 0$

Question

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) $7 x + 12 y \leq 610,7 x + 9 y \leq 230 , x \geq 0 , y \geq 0$

Quizplus · Accepted Answer

The constraints for the grinder and bonder are based on their maximum operational minutes per day. For the grinder, each silver pen requires 7 minutes and each gold pen also requires 7 minutes, leading to the inequality $7x + 7y \leq 610$. For the bonder, each silver pen requires 12 minutes and each gold pen requires 9 minutes, resulting in the inequality $12x + 9y \leq 230$. The conditions $x \geq 0$ and $y \geq 0$ ensure that the number of pens produced cannot be negative.

Write the Inequalities That Describe the Constraints on Production 0≤19x+16y≤840,x≥0,y≥00 \leq 19 x + 16 y \leq 840 , x \geq 0 , y \geq 00≤19x+16y≤840,x≥0,y≥0

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