A manufacturing plant makes two types of inflatable boats—a two-person boat and a four-person boat. Each two-person boat requires 2 labor hours from the cutting department, while each four-person boat requires 1 labor hour from the cutting department. The maximum number of hours available for the cutting department is 20. The two-person boat requires 10 hours of assembling and 2 hours of finishing, while the four-person boats require 1 hour of assembling and 5 hours of finishing. The machines in the finishing and assembly department require a minimum usage of 36 hours, so a minimum of 36 hours for cutting and 36 hours for finishing are available. The company makes a profit of $3 on each two-person boat and $1 on each four-person boat. Write down the profit function and the constraints. Draw the feasible region.
A manufacturing plant makes two types of inflatable boats—a two-person boat and a four-person boat. Each two-person boat requires 2 labor hours from the cutting department, while each four-person boat requires 1 labor hour from the cutting department. The maximum number of hours available for the cutting department is 20. The two-person boat requires 10 hours of assembling and 2 hours of finishing, while the four-person boats require 1 hour of assembling and 5 hours of finishing. The machines in the finishing and assembly department require a minimum usage of 36 hours, so a minimum of 36 hours for cutting and 36 hours for finishing are available. The company makes a profit of $3 on each two-person boat and $1 on each four-person boat. Write down the profit function and the constraints. Draw the feasible region.
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.81TI: The weekly news magazine has a big story naming the Person of the Year and the editor wants the...
Related questions
Question
A manufacturing plant makes two types of inflatable boats—a two-person boat and a four-person boat. Each two-person boat requires 2 labor hours from the cutting department, while each four-person boat requires 1 labor hour from the cutting department. The maximum number of hours available for the cutting department is 20. The two-person boat requires 10 hours of assembling and 2 hours of finishing, while the four-person boats require 1 hour of assembling and 5 hours of finishing. The machines in the finishing and assembly department require a minimum usage of 36 hours, so a minimum of 36 hours for cutting and 36 hours for finishing are available. The company makes a profit of $3 on each two-person boat and $1 on each four-person boat. Write down the profit function and the constraints. Draw the feasible region.
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,