4) 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? a) Write the objective function. Define the variables. b) Write the system of inequalities describing the constraints. c) Graph the system. Shade and Label the feasibility region. Label corner points after completing part d.
4) 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? a) Write the objective function. Define the variables. b) Write the system of inequalities describing the constraints. c) Graph the system. Shade and Label the feasibility region. Label corner points after completing part d.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:d) Find all corner points. List these below and on the graph.
Show all computations.
e) How many pounds of each should be produced to maximize
profit? Use a table.
f) What is the maximum profit?
LO
5
Transcribed Image Text:4) 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?
a) Write the objective function. Define the variables.
b) Write the system of inequalities describing the constraints.
c) Graph the system. Shade and Label the feasibility
region. Label corner points after completing part d.
whe
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
