A pen company makes silver and gold pens. A silver pen requires 1 minute in the grinder, 3 minutes in the bonder and 5 minutes in the polisher. A gold pen requires 3 minutes in the grinder, 3 minutes in the bonder and 4 minutes in the polisher. The grinder can be operated no more than 40 hours per wcek, the bonder nd more than 50 hours per week and the polisher no more than 75 hours per week. If the company makes a profit of $0.30 on each silver pen and $0.60 on cach gold pen, how many of each type of pen should be made each week to maximize profit? Let x be the number of silver pens and y be the number of gold pens. The corners of the bounded feasible region are at (0, 0), (0,800), (300, 700), (500, 500), (900, 0). What is the maximum profit? $ gold pens How many gold pens are made when the maximum is achieved? minutes How much time is leftover in the grinder?

A pen company makes silver and gold pens. A silver pen requires 1 minute in the grinder, 3 minutes in the bonder and 5 minutes in the polisher. A gold pen requires 3 minutes in the grinder, 3 minutes in the bonder and 4 minutes in the polisher. The grinder can be operated no more than 40 hours per wcek, the bonder nd more than 50 hours per week and the polisher no more than 75 hours per week. If the company makes a profit of $0.30 on each silver pen and $0.60 on cach gold pen, how many of each type of pen should be made each week to maximize profit? Let x be the number of silver pens and y be the number of gold pens. The corners of the bounded feasible region are at (0, 0), (0,800), (300, 700), (500, 500), (900, 0). What is the maximum profit? $ gold pens How many gold pens are made when the maximum is achieved? minutes How much time is leftover in the grinder?

Name: A pen company makes silver and gold pens. A silver pen requires 1 min
Uploaded: 2024-03-20T07:07:26.000Z
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Description: A pen company makes silver and gold pens. A silver pen requires 1 minute in the grinder, 3 minutes in the bonder and 5 minutes in the polisher. A gold penrequires 3 minutes in the grinder, 3 minutes in the bonder and 4 minutes in the polisher. The g

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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Question

A pen company makes silver and gold pens. A silver pen requires 1 minute in the grinder, 3 minutes in the bonder and 5 minutes in the polisher. A gold pen
requires 3 minutes in the grinder, 3 minutes in the bonder and 4 minutes in the polisher. The grinder can be operated no more than 40 hours per week, the bonder no
more than 50 hours per week and the polisher no more than 75 hours per week. If the company makes a profit of $0.30 on each silver pen and $0.60 on each gold
pen, how many of each type of pen should be made each week to maximize profit?
Let x be the number of silver pens and y be the number of gold pens.
The corners of the bounded feasible region are at (0, 0), (0,800), (300, 700), (500, 500), (900, 0).
What is the maximum profit? S
gold pens
How many gold pens are made when the maximum is achieved?
minutes
How much time is leftover in the grinder?

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