The manufacturing company Omega discontinued production of a certain unprofitable product line. This action created considerable excess production capacity. Management wants to devote this capacity to one or more of three products, called 1, 2 and 3. The following table summarizes the available capacity of each machine that can limit production:(--)The number of machine-hours required to manufacture each unit of the respective products is unit of the respective products is Productivity coefficient (in hours)(--)The sales department indicates that potential sales of products 1 and 2 exceed the maximum production rate and that potential sales of product 3 are 20 units per week. The unit profit would be $50, $20, and $25, for products 1, 2, and 3, respectively. The objective is to determine how many of each type of product The objective is to determine how many of each type the company must produce to maximize profit.a) Formulate a linear programming model for this problem. 3.1-11.* La compañía manufacturera Omega discontinuó la produc-ción de cierta línea de productos no redituable. Esta medida creó unexceso considerable de capacidad de producción. La administraciónquiere dedicar esta capacidad a uno o más de tres productos, llamados1, 2 y 3. En la siguiente tabla se resume la capacidad disponible decada máquina que puede limitar la producción:Tiempo disponible(en horas-máquina por semana)Tipo de máquinaFresadora500Torno350Rectificadora150El número de horas-máquina que se requieren para elaborar cadaunidad de los productos respectivos esCoeficiente de productividad (en horas-máquinapor unidad)Tipo de máquina Producto 1 Producto 2 Producto 3Fresadora935Torno54Rectificadora33El departamento de ventas indica que las ventas potenciales delos productos 1 y 2 exceden la tasa máxima de producción y que lasventas potenciales del producto 3 son de 20 unidades por semana. Laganancia unitaria sería de $50, $20 y $25, para los productos 1, 2 y 3,respectivamente. El objetivo es determinar cuántos productos de cadatipo debe producir la compañía para maximizar la ganancia.a) Formule un modelo de programación lineal para este problema.

Consider that the quantity of units of item 1 is indicated by, the number of units of item 2 is…

Answered: The manufacturing company Omega…

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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The manufacturing company Omega discontinued production of a certain unprofitable product line. This action created considerable excess production capacity. Management wants to devote this capacity to one or more of three products, called 1, 2 and 3. The following table summarizes the available capacity of each machine that can limit production:

(--)

The number of machine-hours required to manufacture each unit of the respective products is unit of the respective products is Productivity coefficient (in hours)

(--)

The sales department indicates that potential sales of products 1 and 2 exceed the maximum production rate and that potential sales of product 3 are 20 units per week. The unit profit would be $50, $20, and $25, for products 1, 2, and 3, respectively. The objective is to determine how many of each type of product The objective is to determine how many of each type the company must produce to maximize profit.

a) Formulate a linear programming model for this problem.