Model the following decision-making situation as a linear program. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table below. For how much time should each process be run in order to maximize the total amount of che blend manufactured? Requirements per unit time Output per unit time Fuel Chem 1 (units) (units) Raw 1 Raw 2 Chem 2 Process (units) (units) (units) 1 5 50 9. 2 6 8 75 7 10 3 4 11 100 10 6 Available 200 400 1850 (a) Clearly define the decision variables. (b) Write the objective function. (c) Write the constraints.
Model the following decision-making situation as a linear program. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table below. For how much time should each process be run in order to maximize the total amount of che blend manufactured? Requirements per unit time Output per unit time Fuel Chem 1 (units) (units) Raw 1 Raw 2 Chem 2 Process (units) (units) (units) 1 5 50 9. 2 6 8 75 7 10 3 4 11 100 10 6 Available 200 400 1850 (a) Clearly define the decision variables. (b) Write the objective function. (c) Write the constraints.
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:Model the following decision-making situation as a linear program.
A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by
weight. These chemicals can be manufactured by three different processes using two
different raw materials and a fuel. Production data are given in the table below. For
how much time should each process be run in order to maximize the total amount of
the blend manufactured?
Requirements per unit time Output per unit time
Fuel Chem 1
(units)
Raw 1
Raw 2
Chem 2
(units) (units)
(units)
(units)
6.
Process
1
9.
5
50
2
6
75
7
10
4
11
100
10
Available
200
400
1850
(a) Clearly define the decision variables.
(b) Write the objective function.
(c) Write the constraints.
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
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,
