A sausage company makes two brands of sausages: Link and Patty. Link brand uses 1 pound of pork and 3 pounds of beef while the Patty brand uses 2 pounds of pork and 3 pounds of beef. A case of Link sausage requires 3 hours of labor while a case of Patty sausages requires 1 hour of labor. The company has at most 1000 pounds of pork and 1800 pounds of beef available to make sausages. The total work hours are restricted to no more than 1200 hours. The profit on a pound of Link sausage is $3 while the profit on a pound of Patty sausage is $2. How many pounds are required to maximize profit? 1. How many pounds of each should be produced to maximize profit? Use a table  2. What is the maximum profit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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A sausage company makes two brands of sausages: Link and Patty. Link brand uses 1 pound of pork and 3 pounds of beef while the Patty brand uses 2 pounds of pork and 3 pounds of beef. A case of Link sausage requires 3 hours of labor while a case of Patty sausages requires 1 hour of labor. The company has at most 1000 pounds of pork and 1800 pounds of beef available to make sausages. The total work hours are restricted to no more than 1200 hours. The profit on a pound of Link sausage is $3 while the profit on a pound of Patty sausage is $2. How many pounds are required to maximize profit?

1. How many pounds of each should be produced to maximize profit? Use a table 

2. What is the maximum profit. 

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