Problem #3. and M2. The following table provides the basic data of the problem: PK Inc. manufactures interior and exterior paints from two raw materials, M. Tons of raw materials per ton of Exterior paint 6 1 Maximum daily Interior paint availability (tons) Raw material M, 4 24 Raw material M, Profit per ton $5,000 $4,000 A market survey indicates that the daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. PK Inc. wants to determine the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit. -; Formulate and explain the mathematical model for this LP problem, including: The Objective Function All the constraints that the solution must satisfy, including nonnegativity. Solve the LP problem using the graphical method. b.
Problem #3. and M2. The following table provides the basic data of the problem: PK Inc. manufactures interior and exterior paints from two raw materials, M. Tons of raw materials per ton of Exterior paint 6 1 Maximum daily Interior paint availability (tons) Raw material M, 4 24 Raw material M, Profit per ton $5,000 $4,000 A market survey indicates that the daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. PK Inc. wants to determine the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit. -; Formulate and explain the mathematical model for this LP problem, including: The Objective Function All the constraints that the solution must satisfy, including nonnegativity. Solve the LP problem using the graphical method. b.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
help please
Transcribed Image Text:Problem #3.
PK Inc. manufactures interior and exterior paints from two raw materials, M1
and M2. The following table provides the basic data of the problem:
Tons of raw materials per ton of
Exterior paint
Maximum daily
availability (tons)
Interior paint
Raw material M,
Raw material M,
4
24
1
2
Profit per ton
$5,000
$4,000
A market survey indicates that the daily demand for interior paint cannot exceed that for exterior paint
by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons.
PK Inc. wants to determine the optimum (best) product mix of interior and exterior paints that maximizes
the total daily profit.
-; Formulate and explain the mathematical model for this LP problem, including:
The Objective Function
а.
All the constraints that the solution must satisfy, including nonnegativity.
b.
Solve the LP problem using the graphical method.
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 3 steps with 9 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.