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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
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...
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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.
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.
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