Activity 5: Linear Programming - Graphical Method Solve the following Linear Programming problems using the graphical method. Use the PHPSimplex application software. 1. An appliance manufacturer produces two models of televisions: Colored TV and B&W TV. Both models require fabrication and assembly work; each colored TV uses four hours of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and two hours of assembly. There are 600 hours fabrication available per week and 480 hours available of assembly. Each colored TV contributes P1200 to profit and each B&W TV contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer produce in order to maximize the profit?

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Author:WINSTON, Wayne L.
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Activity 5: Linear Programming – Graphical Method
Solve the following Linear Programming problems using the graphical method. Use the
PHPSimplex application software.
1. An appliance manufacturer produces two models of televisions: Colored TV and B&W
TV. Both models require fabrication and assembly work; each colored TV uses four hours
of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and
two hours of assembly. There are 600 hours fabrication available per week and 480 hours
available of assembly. Each colored TV contributes P1200 to profit and each B&W TV
contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer
produce in order to maximize the profit?
2. An animal food producer mixes two types of animal food: X and Y. Each unit of X costs
P100 and contains 40 grams of fat, 20 grams of protein and 1600 calories. Each unit of Y
costs P80 and contains 60 grams of fat, 60 grams of protein and 1200 calories. Suppose
the producer wants each unit of the final product to yield at least 360 grams of fat, at least
240 grams of protein and at least 9600 calories, how many of each type of grain should the
producer use to minimize his cost?
Transcribed Image Text:Activity 5: Linear Programming – Graphical Method Solve the following Linear Programming problems using the graphical method. Use the PHPSimplex application software. 1. An appliance manufacturer produces two models of televisions: Colored TV and B&W TV. Both models require fabrication and assembly work; each colored TV uses four hours of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and two hours of assembly. There are 600 hours fabrication available per week and 480 hours available of assembly. Each colored TV contributes P1200 to profit and each B&W TV contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer produce in order to maximize the profit? 2. An animal food producer mixes two types of animal food: X and Y. Each unit of X costs P100 and contains 40 grams of fat, 20 grams of protein and 1600 calories. Each unit of Y costs P80 and contains 60 grams of fat, 60 grams of protein and 1200 calories. Suppose the producer wants each unit of the final product to yield at least 360 grams of fat, at least 240 grams of protein and at least 9600 calories, how many of each type of grain should the producer use to minimize his cost?
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