CASE STUDY 4.2 Linear Programming Simplex Method BSA Furniture Shop manufactures tables and chairs. All of its tables and chairs pass through two departments, namely Department 1 and Department 2. In one production period, Department 1 and Department 2 have total available hours of 120 and 96, respectively. The production of one table requires 3 hours in Department 1 and 6 hours in Department 2. Similarly, producing one chair requires 6 hours in Department 1 and 3 hours in Department 2. The contribution margin or profit of one table is Php30.00 and that of a chair is Php24.00. Using the simplex method, determine the optimal solution. REQUIRED Solution of the following: Improved Objective Function Max Profit Converted Constraints Prepare the following: Table 1. Initial Table Table 2. First Iteration Table 3. Second Iteration and so on with the following details: Identify the incoming variable Identify the outgoing variable Create a table to show product, solution quantity, pivot value, and quotient.
CASE STUDY 4.2 Linear Programming Simplex Method BSA Furniture Shop manufactures tables and chairs. All of its tables and chairs pass through two departments, namely Department 1 and Department 2. In one production period, Department 1 and Department 2 have total available hours of 120 and 96, respectively. The production of one table requires 3 hours in Department 1 and 6 hours in Department 2. Similarly, producing one chair requires 6 hours in Department 1 and 3 hours in Department 2. The contribution margin or profit of one table is Php30.00 and that of a chair is Php24.00. Using the simplex method, determine the optimal solution. REQUIRED Solution of the following: Improved Objective Function Max Profit Converted Constraints Prepare the following: Table 1. Initial Table Table 2. First Iteration Table 3. Second Iteration and so on with the following details: Identify the incoming variable Identify the outgoing variable Create a table to show product, solution quantity, pivot value, and quotient.
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:CASE STUDY 4.2 Linear Programming Simplex Method
BSA Furniture Shop manufactures tables and chairs. All of its tables
and chairs pass through two departments, namely Department 1
and Department 2. In one production period, Department 1 and
Department 2 have total available hours of 120 and 96,
respectively. The production of one table requires 3 hours in
Department 1 and 6 hours in Department 2. Similarly, producing
one chair requires 6 hours in Department 1 and 3 hours in
Department 2. The contribution margin or profit of one table is
Php30.00 and that of a chair is Php24.00.
Using the simplex method, determine the optimal solution.
REQUIRED
Solution of the following:
Improved Objective Function
Max Profit
Converted Constraints
Prepare the following:
Table 1. Initial Table
Table 2. First Iteration
Table 3. Second Iteration and so on with the following details:
Identify the incoming variable
Identify the outgoing variable
Create a table to show product, solution quantity, pivot value,
and quotient.
Transcribed Image Text:CASE STUDY 4.3 Linear Programming Simplex Method
Princess Manufacturing Company produces two types of tarpaulin
products for its customers, namely Class A and Class AA. Each
class of finished product uses two types of raw materials, namely
material R and material S. It has been observed by the business
that for a square meter of Class A tarpaulin, it requires 2 kilos of
material R and 1 kilo of material S. On the other hand, each
square meter of Class AA tarpaulin requires 1 kilo of material R and
2 kilos of material S. The profit per square meter of Class A and
Class AA tarpaulins are Php160.00 and Php200.00, respectively.
Every week, the business has 100 kilos of material R and 140 kilos of
material S for the production of tarpaulins.
Using the simplex method, determine the optimal solution.
REQUIRED
Solution of the following:
Improved Objective Function
Max Profit
Converted Constraints
Prepare the following:
Table 1. Initial Table
Table 2. First Iteration
Table 3. Second Iteration and so on with the following details:
Identify the incoming variable
Identify the outgoing variable
Create a table to show product, solution quantity, pivot value,
and quotient.
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