2. Formulate the following problem as an LP problem. Do not solve it: A paint manufacturer must produce a base for its line of indoor domestic paints. Four chemicals A, B, C, and D, are critical in its manufacture. The final composition of the base by weight must be at least 5% of Chem- ical A, 3% of Chemical B, 26% of Chemical C, and no more that 15% of Chemical D. The manufacturer can produce this base by combining three crude materials. The composition by weight and costs of these materials are given in the following table: % of Chemical BCD A Mineral 1 0 5 30 20 8 30 10 Mineral 2 6 Mineral 3 7 0 25 16 Cost ($/lb) 4.00 7.50 3.00 The manufacturer could use just Mineral 2. However, he asks, "Is there some combination of these three minerals that will provide a base with the desired characteristics at a lowest cost?"
2. Formulate the following problem as an LP problem. Do not solve it: A paint manufacturer must produce a base for its line of indoor domestic paints. Four chemicals A, B, C, and D, are critical in its manufacture. The final composition of the base by weight must be at least 5% of Chem- ical A, 3% of Chemical B, 26% of Chemical C, and no more that 15% of Chemical D. The manufacturer can produce this base by combining three crude materials. The composition by weight and costs of these materials are given in the following table: % of Chemical BCD A Mineral 1 0 5 30 20 8 30 10 Mineral 2 6 Mineral 3 7 0 25 16 Cost ($/lb) 4.00 7.50 3.00 The manufacturer could use just Mineral 2. However, he asks, "Is there some combination of these three minerals that will provide a base with the desired characteristics at a lowest cost?"
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
LPP
Please formulate solve handwritten
Transcribed Image Text:2. Formulate the following problem as an LP problem. Do not solve it:
A paint manufacturer must produce a base for its line of indoor domestic
paints. Four chemicals A, B, C, and D, are critical in its manufacture.
The final composition of the base by weight must be at least 5% of Chem-
ical A, 3% of Chemical B, 26% of Chemical C, and no more that 15% of
Chemical D. The manufacturer can produce this base by combining three
crude materials. The composition by weight and costs of these materials
are given in the following table:
% of Chemical
A B C D
Mineral 1
0
5 30 20
30 10
Mineral 2 6 8
Mineral 3 7 0 25 16
Cost ($/b)
4.00
7.50
3.00
The manufacturer could use just Mineral 2. However, he asks, "Is there
some combination of these three minerals that will provide a base with
the desired characteristics at a lowest cost?"
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 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,
