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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?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
Problem 35CR
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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?
Transcribed Image Text: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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