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Comfort-Air produces 3 types (Type 1, Type 2 and Type 3) thermostats for household temperature control. Three 1 resources are required for the production. These resources are available time (R1) of a Robotic Insertion Machine ( workforce hours (R2) and certain type of electronic components (R3). Profits generated from each unit of the therm are shown in the first row of the following table. The amount of resources required to produce one unit of the therm are also given in the table. The last column of the table shows the available amount of the resources. Comfort-Air to decide the numbers of thermostats of each type (x,,x, and x,) to produce in order to maximize its total profit. Table: Production Related Data Туре 1 80 Туре 2 115 Туре 3 70 Thermostat Available Amour Profit per unit product Amount of required resources to produce each unit product Resource 1840 (hour) 2100 (hour) 3500 (units) R1 5 8 7 R2 4 7 6. R3 8 10 12 1) Based on the given information, formulate the problem as a standard Linear Programming (LP) model. Y NOT need to solve the model. 2) Additionally, Comfort-Air decides that all available time of the Robotic Insertion Machine (RIM) must b up to the limit in producing the products. In other words, the RIM should not be idle during the entire time j of production. Revise the LP model you presented in 1) above and write down the revised model. You do need to solve this revised model. 3) In addition to the given information and the new requirement given in 2) above, Comfort-Air realizes th

Comfort-Air produces 3 types (Type 1, Type 2 and Type 3) thermostats for household temperature control. Three 1 resources are required for the production. These resources are available time (R1) of a Robotic Insertion Machine ( workforce hours (R2) and certain type of electronic components (R3). Profits generated from each unit of the therm are shown in the first row of the following table. The amount of resources required to produce one unit of the therm are also given in the table. The last column of the table shows the available amount of the resources. Comfort-Air to decide the numbers of thermostats of each type (x,,x, and x,) to produce in order to maximize its total profit. Table: Production Related Data Туре 1 80 Туре 2 115 Туре 3 70 Thermostat Available Amour Profit per unit product Amount of required resources to produce each unit product Resource 1840 (hour) 2100 (hour) 3500 (units) R1 5 8 7 R2 4 7 6. R3 8 10 12 1) Based on the given information, formulate the problem as a standard Linear Programming (LP) model. Y NOT need to solve the model. 2) Additionally, Comfort-Air decides that all available time of the Robotic Insertion Machine (RIM) must b up to the limit in producing the products. In other words, the RIM should not be idle during the entire time j of production. Revise the LP model you presented in 1) above and write down the revised model. You do need to solve this revised model. 3) In addition to the given information and the new requirement given in 2) above, Comfort-Air realizes th

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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Comfort-Air produces 3 types (Type 1, Type 2 and Type 3) thermostats for household temperature control. Three limited resources are required for the production. These resources are available time (R1) of a Robotic Insertion Machine (RIM), workforce hours (R2) and certain type of electronic components (R3). Profits generated from each unit of the thermostats are shown in the first row of the following table. The amount of resources required to produce one unit of the thermostats are also given in the table. The last column of the table shows the available amount of the resources. Comfort-Air needs to decide the numbers of thermostats of each type (x,,x, and x,) to produce in order to maximize its total profit. Table: Production Related Data Туре 2 115 Thermostat Туре 1 Туре 3 Available Amount of Profit per unit product Amount of required resources to produce each unit product 80 70 Resource 1840 (hour) 2100 (hour) 3500 (units) R1 5 8 7 R2 4 7 R3 8. 10 12 1) Based on the given information, formulate the problem as a standard Linear Programming (LP) model. You do NOT need to solve the model. 2) Additionally, Comfort-Air decides that all available time of the Robotic Insertion Machine (RIM) must be used up to the limit in producing the products. In other words, the RIM should not be idle during the entire time period of production. Revise the LP model you presented in 1) above and write down the revised model. You do NOT need to solve this revised model. 3) In addition to the given information and the new requirement given in 2) above, Comfort-Air realizes that the market demand for the combined Type 1 and Type 2 thermostats cannot exceed 550. Present the revised model with this new requirement. You do NOT need to solve this revised model.
Transcribed Image Text:Comfort-Air produces 3 types (Type 1, Type 2 and Type 3) thermostats for household temperature control. Three limited resources are required for the production. These resources are available time (R1) of a Robotic Insertion Machine (RIM), workforce hours (R2) and certain type of electronic components (R3). Profits generated from each unit of the thermostats are shown in the first row of the following table. The amount of resources required to produce one unit of the thermostats are also given in the table. The last column of the table shows the available amount of the resources. Comfort-Air needs to decide the numbers of thermostats of each type (x,,x, and x,) to produce in order to maximize its total profit. Table: Production Related Data Туре 2 115 Thermostat Туре 1 Туре 3 Available Amount of Profit per unit product Amount of required resources to produce each unit product 80 70 Resource 1840 (hour) 2100 (hour) 3500 (units) R1 5 8 7 R2 4 7 R3 8. 10 12 1) Based on the given information, formulate the problem as a standard Linear Programming (LP) model. You do NOT need to solve the model. 2) Additionally, Comfort-Air decides that all available time of the Robotic Insertion Machine (RIM) must be used up to the limit in producing the products. In other words, the RIM should not be idle during the entire time period of production. Revise the LP model you presented in 1) above and write down the revised model. You do NOT need to solve this revised model. 3) In addition to the given information and the new requirement given in 2) above, Comfort-Air realizes that the market demand for the combined Type 1 and Type 2 thermostats cannot exceed 550. Present the revised model with this new requirement. You do NOT need to solve this revised model.
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