WorldLight Company produces two lamp fixtures (products 1 and 2) that require metal parts and electrical components. Management wants to determine how many units of each product to manufacture to maximize profit. For each unit of product 1, 1 unit of metal parts and 2 units of electrical components are required. For each unit of product 2, 3 units of metal parts and 2 units of electrical components are required. The company has 200 units of metal parts and 300 units of electrical components. Each unit of product 1 yields a profit of $1 and each unit of product 2, up to 60 units, yields a profit of $2. Any excess of 60 units of product 2 does not yield a profit, so making more than that amount is out of consideration.a) Formulate a linear programming model.b) Use the graphical method to solve this model. What is the resulting total profit? 3.1-8. La compañía WorldLight produce dos dispositivos para lám-paras (productos 1 y 2) que requieren partes de metal y componenteseléctricos. La administración desea determinar cuántas unidades decada producto debe fabricar para maximizar la ganancia. Por cadaunidad del producto 1 se requieren 1 unidad de partes de metal y 2unidades de componentes eléctricos. Por cada unidad del producto2 se necesitan 3 unidades de partes de metal y 2 unidades de compo-nentes eléctricos. La compañía tiene 200 unidades de partes de metaly 300 de componentes eléctricos. Cada unidad del producto 1 da unaganancia de $1 y cada unidad del producto 2, hasta 60 unidades, dauna ganancia de $2. Cualquier exceso de 60 unidades del producto2 no genera ganancia, por lo que fabricar más de esa cantidad estáfuera de consideración.a) Formule un modelo de programación lineal.D.I b) Utilice el método gráfico para resolver este modelo. ¿Cuál esla ganancia total que resulta?

We need to formulate a linear programing of two variable after deciding decision variable , Solve it…

Answered: WorldLight Company produces two lamp…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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WorldLight Company produces two lamp fixtures (products 1 and 2) that require metal parts and electrical components. Management wants to determine how many units of each product to manufacture to maximize profit. For each unit of product 1, 1 unit of metal parts and 2 units of electrical components are required. For each unit of product 2, 3 units of metal parts and 2 units of electrical components are required. The company has 200 units of metal parts and 300 units of electrical components. Each unit of product 1 yields a profit of $1 and each unit of product 2, up to 60 units, yields a profit of $2. Any excess of 60 units of product 2 does not yield a profit, so making more than that amount is out of consideration.

a) Formulate a linear programming model.

b) Use the graphical method to solve this model. What is the resulting total profit?