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 M1 6. 4 24 Raw material M2 1 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: a. The Objective Function All the constraints that the solution must satisfy, including nonnegativity. b. s) Solve the LP problem using the graphical method.
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 M1 6. 4 24 Raw material M2 1 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: a. The Objective Function All the constraints that the solution must satisfy, including nonnegativity. b. s) Solve the LP problem using the graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem #3 - S) - PK Inc. manufactures interior and exterior paints from two raw materials, M1
and M2. The following table provides the basic data of the problem:
Maximum daily
Tons of raw materials per ton of
Exterior paint
Interior paint
availability (tons)
Raw material M1
6.
4
24
Raw material M2
1
6.
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.
5) Formulate and explain the mathematical model for this LP problem, including:
a.
The Objective Function
All the constraints that the solution must satisfy, including nonnegativity.
s) Solve the LP problem using the graphical method.
b.
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