JN Company manufactures two products that use material 1, material 2, andmaterial 3. Consider the following table:Resources neededMaterial 1Material 2Material 3Price per Unit in PesosRequirement per UnitProduct 1220150Product 2314200a. Write the linear programming model for this problem.b. Present the optimal solution and interpret the result.Maximum Availability(units)12001000800c. Determine the status of each resource.d. Determine the dual prices for the materials 1, 2 and 3. Explain each value.e. Determine the feasibility ranges for the dual prices obtained in (d).f. If the available number of material 1 is increased to 1300 units, find the new optimumsolution.g. Find the range of optimality for (i.) product 1 and (ii.) product 2 for which the optimal.solution remains valid.

Linear programming is a mathematical technique that is also used in operations management…

Answered: a. Write the linear programming model…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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a. Write the linear programming model for this problem. b. Present the optimal solution and interpret the result. c. Determine the status of each resource.