b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Process 1 2 3 Requirements per unit time R₂ Fuel 50 72 101 1850 R 9 6 4 Amount available 200 5 8 11 390 Output per unit time A 9 6 10 be run in order to maximize the amount of blend manufactured? B 6 9 12
b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Process 1 2 3 Requirements per unit time R₂ Fuel 50 72 101 1850 R 9 6 4 Amount available 200 5 8 11 390 Output per unit time A 9 6 10 be run in order to maximize the amount of blend manufactured? B 6 9 12
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
answer number 2
Transcribed Image Text:1. Formulate a mathematical model to the following problem. Describe the variables and constraint used:
a) A farmer has to purchase feeds of type A, B and C in the following amounts:
• At least 185kg of type A
. At most 100kg of type
• At least 80kg and at most 100kg of type C
He can buy these quantities from two different stores. The first store can sell up to 350kg of all
types of feeds, and the second store up to 300kg of all types. The cost (in pesos) of the various
types of feed at the two shops is given in the table:
Shop
Process
1
2
1
2
3
How can the farmer fulfill his feed requirements at minimal cost?
b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight.
These chemicals can be manufactured by 3 different processes using two different raw materials
(R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process
Price per kilogram of feed type
2
13.9
17.8
R
9
6
1
45
42.5
Requirements per unit time
R₂
Fuel
5
50
8
72
11
101
390
1850
4
Amount available 200
Output per unit time
A
B
9
6
6
9
10
12
be run in order to maximize the amount of blend manufactured?
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 7 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,
