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.

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Chapter2: Second-order Linear Odes
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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.
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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