3 LINEAR PROGRAMMING PROBLEM Maximization with Sensitivity Analysis By deploying three major operations (i e, assembly, display, and warehousing), a company provides two types of products (R and S) to customers, generating a sales revenue of birr 110 and birr 90 per unit of each product respectively Each unit of R demands 3 assembly hours and 8 m 3 for warehouse On the other hand, 5 assembly hours, 1 portable display, and 5 m 3 are demanded for 1 unit of product S the maximum availability of assembly time, display, and warehousing space is 150 hours, 20 units, and 300m 3 respectively The combined cost of these resources is $60 and $50 for each unit of products R and S respectively Considerthe following table Required Based on the above information, answer the following$$ Develop Formulate the standardized model for the LP problem Interpret the elements of the optimal solution properly Identify the shadow prices of the constraints and explain their implication Determine the Range of feasibility ( RoF) of all the constraints If the manufacturer has the chance to do it, which resource should it increase Why

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Question: 3. LINEAR PROGRAMMING PROBLEM Maximization with Sensitivity Analysis By deploying three major operations (i.e, assembly, display, and warehousing), a company provides two types of products

3. LINEAR PROGRAMMING PROBLEM Maximization with Sensitivity Analysis

By deploying three major operations (i.e, assembly, display, and warehousing), a company provides two types of products (R and S) to customers, generating a sales revenue of birr 110 and birr 90 per unit of each product respectively. Each unit of R demands 3 assembly hours and 8 m³ for warehouse. On the other hand, 5 assembly hours, 1 portable display, and 5 m³are demanded for 1 unit of product S. the maximum availability of assembly time, display, and warehousing space is 150 hours, 20 units, and 300m³respectively.The combined cost of these resources is $60 and $50 for each unit of products R and S respectively. Considerthe following table.

Required: Based on the above information, answer the following$$

Develop/Formulate the standardized model for the LP problem
Interpret the elements of the optimal solution properly.
Identify the shadow prices of the constraints and explain their implication.
Determine the Range of feasibility (RoF) of all the constraints.
If the manufacturer has the chance to do it, which resource should it increase? Why?

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