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, 2 kilos of material R and 1 kilo of material S are required. 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 kilos of material S for the production of 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. Required. Using the simplex method, determine the optimal solution. Complete the required information below. Tables are provided with extra columns and rows. Improved Objective Function: Converted Constraints: Table 1 Initial Table Cj Product Solution Quantity Zj Cj-Zj The incoming variable: The outgoing variable: Product Solution Quantity Pivot Value Quotient Table 2 First Iteration Cj Product Solution Quantity Zj Cj-Zj The incoming variable: The outgoing variable: Product Solution Quantity Pivot Value Quotient Table 3 Second Iteration Cj Product Solution Quantity Zj Cj-Zj Recommendation:
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, 2 kilos of material R and 1 kilo of material S are required. 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 kilos of material S for the production of 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. Required. Using the simplex method, determine the optimal solution. Complete the required information below. Tables are provided with extra columns and rows. Improved Objective Function: Converted Constraints: Table 1 Initial Table Cj Product Solution Quantity Zj Cj-Zj The incoming variable: The outgoing variable: Product Solution Quantity Pivot Value Quotient Table 2 First Iteration Cj Product Solution Quantity Zj Cj-Zj The incoming variable: The outgoing variable: Product Solution Quantity Pivot Value Quotient Table 3 Second Iteration Cj Product Solution Quantity Zj Cj-Zj Recommendation:
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 1. Simplex Model
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, 2 kilos of material R and 1 kilo of material S are required. 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 kilos of material S for the production of 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.
Required. Using the simplex method, determine the optimal solution. Complete the required information below. Tables are
provided with extra columns and rows.
Improved Objective Function:
Converted Constraints:
Table 1 Initial Table
Cj
Product
Solution
Quantity
Zj
Cj-Zj
The incoming variable:
The outgoing variable:
Product
Solution Quantity
Pivot Value
Quotient
Table 2 First Iteration
Cj
Product
Solution
Quantity
Zj
Cj-Zj
The incoming variable:
The outgoing variable:
Product
Solution Quantity
Pivot Value
Quotient
Table 3 Second Iteration
Cj
Product
Solution
Quantity
Zj
Cj-Zj
Recommendation:
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