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Question 4) APP Linear Programming Given the following information: Quarter Demand Regular Prod. Capacity = 3,000 units/gtr 8,000 Overtime Prod. Capacity = 800 units/gtr Subcontracting Capacity = 1,800 units/gtr = 6,000 yntis gtr Regular Prod. Cost = $20/unit Overtime Prod. Cost = $25/unit 1 2 2,000 Inventory Capacity Beginning Inventory Subcontracting Cost = $35/unit Inventory Cost 3 = 500 units = $4/unit/gtr Linear programming is to be used to determine a production plan strategy of Level Production, Overtime, and Subcontracting. a. Formulate the Objective Function (note that there are 3 quarters). b. Formulate all Constraints (standardized). c. How many decision variables are in the model? d. How many constraints are in the model? (do not include non-negativity constraints)

Question 4) APP Linear Programming Given the following information: Quarter Demand Regular Prod. Capacity = 3,000 units/gtr 8,000 Overtime Prod. Capacity = 800 units/gtr Subcontracting Capacity = 1,800 units/gtr = 6,000 yntis gtr Regular Prod. Cost = $20/unit Overtime Prod. Cost = $25/unit 1 2 2,000 Inventory Capacity Beginning Inventory Subcontracting Cost = $35/unit Inventory Cost 3 = 500 units = $4/unit/gtr Linear programming is to be used to determine a production plan strategy of Level Production, Overtime, and Subcontracting. a. Formulate the Objective Function (note that there are 3 quarters). b. Formulate all Constraints (standardized). c. How many decision variables are in the model? d. How many constraints are in the model? (do not include non-negativity constraints)

Practical Management Science
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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### Question 4) APP Linear Programming #### Given the following information: | Quarter | Demand | |---------|---------| | 1 | 8,000 | | 2 | 4,000 | | 3 | 2,000 | - **Regular Prod. Capacity** = 3,000 units/qtr - **Overtime Prod. Capacity** = 800 units/qtr - **Subcontracting Capacity** = 1,800 units/qtr - **Inventory Capacity** = 6,000 units/qtr - **Beginning Inventory** = 500 units - **Regular Prod. Cost** = $20/unit - **Overtime Prod. Cost** = $25/unit - **Subcontracting Cost** = $35/unit - **Inventory Cost** = $4/unit/qtr #### Problem Context: Linear programming is to be used to determine a production plan strategy of **Level Production**, **Overtime**, and **Subcontracting**. #### Questions: a. **Formulate the Objective Function** (note that there are 3 quarters). b. **Formulate all Constraints** (standardized). c. **How many decision variables** are in the model? d. **How many constraints** are in the model? (do not include non-negativity constraints) This information is critical for students learning about linear programming as it provides practical examples regarding how to manage production planning and costs in an industrial context. The given data emphasizes the importance of utilizing different production capacities and cost minimizations effectively over multiple periods.
Transcribed Image Text:### Question 4) APP Linear Programming #### Given the following information: | Quarter | Demand | |---------|---------| | 1 | 8,000 | | 2 | 4,000 | | 3 | 2,000 | - **Regular Prod. Capacity** = 3,000 units/qtr - **Overtime Prod. Capacity** = 800 units/qtr - **Subcontracting Capacity** = 1,800 units/qtr - **Inventory Capacity** = 6,000 units/qtr - **Beginning Inventory** = 500 units - **Regular Prod. Cost** = $20/unit - **Overtime Prod. Cost** = $25/unit - **Subcontracting Cost** = $35/unit - **Inventory Cost** = $4/unit/qtr #### Problem Context: Linear programming is to be used to determine a production plan strategy of **Level Production**, **Overtime**, and **Subcontracting**. #### Questions: a. **Formulate the Objective Function** (note that there are 3 quarters). b. **Formulate all Constraints** (standardized). c. **How many decision variables** are in the model? d. **How many constraints** are in the model? (do not include non-negativity constraints) This information is critical for students learning about linear programming as it provides practical examples regarding how to manage production planning and costs in an industrial context. The given data emphasizes the importance of utilizing different production capacities and cost minimizations effectively over multiple periods.
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