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For the next three items, consider the following scenario: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which pass through the assembly and the finishing departments. The Assembly department has 60 hours of work available each week, while the finishing department has 48 hours each week. Making one cabinet needs 2 hours in Finishing and 4 hours in Assembly, while it takes 2 hours to assemble a dresser and 4 hours to finish it. If the profit generated per cabinet is P100 and per dresser is P80. (Hint: Let x be the number of cabinet produce and y be the number of dresser produce). 21. Which of the following LP model is the best describe from the given problem? (a) (b) (c) Max P = 80x+100y (d) Max P = 100x + 80y Max P = 100x + 80y Max P = 100x + 80y subject to 4x + 2y < 60 subject to subject to subject to 2x + 4y < 60 4x + 2y < 60 4x + 2y > 60 4x + 2y < 48 2x + 4y < 48 2x + 4y < 48 2x + 4y > 48 х, у 20 х, у >0 х, у 2 0 х, у 20 22. How many units of cabinet should the company produce to maximize the profit? (а) 15 (b) 12 (c) 6 (d) 0 23. How many units of dresser should the company produce to maximize the profit? (a) 12 (b) 9 (c) 6 (d) 0

For the next three items, consider the following scenario: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which pass through the assembly and the finishing departments. The Assembly department has 60 hours of work available each week, while the finishing department has 48 hours each week. Making one cabinet needs 2 hours in Finishing and 4 hours in Assembly, while it takes 2 hours to assemble a dresser and 4 hours to finish it. If the profit generated per cabinet is P100 and per dresser is P80. (Hint: Let x be the number of cabinet produce and y be the number of dresser produce). 21. Which of the following LP model is the best describe from the given problem? (a) (b) (c) Max P = 80x+100y (d) Max P = 100x + 80y Max P = 100x + 80y Max P = 100x + 80y subject to 4x + 2y < 60 subject to subject to subject to 2x + 4y < 60 4x + 2y < 60 4x + 2y > 60 4x + 2y < 48 2x + 4y < 48 2x + 4y < 48 2x + 4y > 48 х, у 20 х, у >0 х, у 2 0 х, у 20 22. How many units of cabinet should the company produce to maximize the profit? (а) 15 (b) 12 (c) 6 (d) 0 23. How many units of dresser should the company produce to maximize the profit? (a) 12 (b) 9 (c) 6 (d) 0

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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For the next three items, consider the following scenario: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which pass through the assembly and the finishing departments. The Assembly department has 60 hours of work available each week, while the finishing department has 48 hours each week. Making one cabinet needs 2 hours in Finishing and 4 hours in Assembly, while it takes 2 hours to assemble a dresser and 4 hours to finish it. If the profit generated per cabinet is P100 and per dresser is P80.(Hint: Let x be the number of cabinet produce and y be the number of dresser produce). 21. Which of the following LP model is the best describe from the given problem? (Ь) (c) Mаx P (a) (d) Max P = 100x + 80y Mаx P 100x + 80y 80x + 100y Маx Р = 100x + 80y %3D subject to subject to subject to subject to 2x + 4y < 60 4x + 2y < 60 4x + 2y < 60 4x + 2y > 60 4x + 2y < 48 2x + 4y < 48 2x + 4y < 48 2x + 4y > 48 х, у 2 0 х, у 20 х, у > 0 х, у > 0 22. How many units of cabinet should the company produce to maximize the profit? (а) 15 (b) 12 (c) 6 (d) 0 23. How many units of dresser should the company produce to maximize the profit? (a) 12 (b) 9 (c) 6 (d) 0
Transcribed Image Text:For the next three items, consider the following scenario: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which pass through the assembly and the finishing departments. The Assembly department has 60 hours of work available each week, while the finishing department has 48 hours each week. Making one cabinet needs 2 hours in Finishing and 4 hours in Assembly, while it takes 2 hours to assemble a dresser and 4 hours to finish it. If the profit generated per cabinet is P100 and per dresser is P80.(Hint: Let x be the number of cabinet produce and y be the number of dresser produce). 21. Which of the following LP model is the best describe from the given problem? (Ь) (c) Mаx P (a) (d) Max P = 100x + 80y Mаx P 100x + 80y 80x + 100y Маx Р = 100x + 80y %3D subject to subject to subject to subject to 2x + 4y < 60 4x + 2y < 60 4x + 2y < 60 4x + 2y > 60 4x + 2y < 48 2x + 4y < 48 2x + 4y < 48 2x + 4y > 48 х, у 2 0 х, у 20 х, у > 0 х, у > 0 22. How many units of cabinet should the company produce to maximize the profit? (а) 15 (b) 12 (c) 6 (d) 0 23. How many units of dresser should the company produce to maximize the profit? (a) 12 (b) 9 (c) 6 (d) 0
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