Setup The Model For the following Linear Programming Problem: A chemical firm makes two types of industrial solvents, S1 and S2. Each solvent is a mixture of three chemicals. Each Item of S1 requires 15L of chemical A, 11L of chemical B, and 20L of chemical C. Each Item of S2 requires 14L of chemical A, 25L of chemical B, and 31L of chemical C. The profit per Item of S1 is $200, and the profit per Item of S2 is $175. The inventory of the company shows 680 L of chemical A, 380 L of chemical B, and 820 L of chemical C. Assuming the company can sell all the solvent it makes, find the number of Item of each solvent that the company should make to maximize profit. Maximize: P=200x1+175x2 15x1+14x2≤680 11x1+25x2≤380 20x1+31x2≤820 x1,x2≥0

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter17: Commercial And Industrial Air-conditioning Control Systems
Section: Chapter Questions
Problem 22RQ
icon
Related questions
Question

Please help me in optimization homework please use FORMATION OF LiNEAR PROGRAMMING.

Setup The Model For the following Linear Programming Problem: A chemical firm makes two types of
industrial solvents, S1 and S2. Each solvent is a mixture of three chemicals. Each Item of S1 requires 15L of
chemical A, 11L of chemical B, and 20L of chemical C. Each Item of S2 requires 14L of chemical A, 25L of
chemical B, and 31L of chemical C. The profit per Item of S1 is $200, and the profit per Item of S2 is $175.
The inventory of the company shows 680 L of chemical A, 380 L of chemical B, and 820 L of chemical C.
Assuming the company can sell all the solvent it makes, find the number of Item of each solvent that the
company should make to maximize profit.
Maximize: P=200x1+175x2
15x1+14x2≤680
11x1+25x2≤380
20x1+31x2≤820
x1,x2≥0
Transcribed Image Text:Setup The Model For the following Linear Programming Problem: A chemical firm makes two types of industrial solvents, S1 and S2. Each solvent is a mixture of three chemicals. Each Item of S1 requires 15L of chemical A, 11L of chemical B, and 20L of chemical C. Each Item of S2 requires 14L of chemical A, 25L of chemical B, and 31L of chemical C. The profit per Item of S1 is $200, and the profit per Item of S2 is $175. The inventory of the company shows 680 L of chemical A, 380 L of chemical B, and 820 L of chemical C. Assuming the company can sell all the solvent it makes, find the number of Item of each solvent that the company should make to maximize profit. Maximize: P=200x1+175x2 15x1+14x2≤680 11x1+25x2≤380 20x1+31x2≤820 x1,x2≥0
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Electricity for Refrigeration, Heating, and Air C…
Electricity for Refrigeration, Heating, and Air C…
Mechanical Engineering
ISBN:
9781337399128
Author:
Russell E. Smith
Publisher:
Cengage Learning
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning