Comfort-Air produces 3 types (Type 1, Type 2 and Type 3) thermostats for household temperature control. Three limitedresources 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 thermostatsare shown in the first row of the following table. The amount of resources required to produce one unit of the thermostatsare also given in the table. The last column of the table shows the available amount of the resources. Comfort-Air needsto decide the numbers of thermostats of each type (x,,x, and x,) to produce in order to maximize its total profit.Table: Production Related DataТуре 2115ThermostatТуре 1Туре 3Available Amount ofProfit per unit productAmount of requiredresources to produceeach unit product8070Resource1840 (hour)2100 (hour)3500 (units)R1587R247R38.10121) Based on the given information, formulate the problem as a standard Linear Programming (LP) model. You doNOT need to solve the model.2) Additionally, Comfort-Air decides that all available time of the Robotic Insertion Machine (RIM) must be usedup to the limit in producing the products. In other words, the RIM should not be idle during the entire time periodof production. Revise the LP model you presented in 1) above and write down the revised model. You do NOTneed to solve this revised model.3) In addition to the given information and the new requirement given in 2) above, Comfort-Air realizes that themarket demand for the combined Type 1 and Type 2 thermostats cannot exceed 550. Present the revised modelwith this new requirement. You do NOT need to solve this revised model.

1) The objective is to maximize the total profit. Hence, the objective function will be :Max Z =…

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

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 42P