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For items 10 -17, consider the following: 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 4 hours in Finishing and 2 hours in Assembly, while it takes 4 hours to assemble a dresser and 2 hours to finish it. If the profit generated per cabinet is Php80 and per dresser is Php100.(Hint: Let a be the number of cabinet produced and y be the number of dresser produced). 10. Which of the following objective function best describe the given problem? (P=Profit) (A) Max P = 100x + 80y (C) Max P = 80x – 100y %3D %3D (B) Max P = 100x - 80y (D) Max P = 80x + 100y %3D

For items 10 -17, consider the following: 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 4 hours in Finishing and 2 hours in Assembly, while it takes 4 hours to assemble a dresser and 2 hours to finish it. If the profit generated per cabinet is Php80 and per dresser is Php100.(Hint: Let a be the number of cabinet produced and y be the number of dresser produced). 10. Which of the following objective function best describe the given problem? (P=Profit) (A) Max P = 100x + 80y (C) Max P = 80x – 100y %3D %3D (B) Max P = 100x - 80y (D) Max P = 80x + 100y %3D

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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answer only number 11 and 10 and this questions are not graded

For items 10 -17, consider the following: 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 4 hours in Finishing and 2 hours in Assembly, while it takes 4 hours to assemble a dresser and 2 hours to finish it. If the profit generated per cabinet is Php80 and per dresser is Php100.(Hint: Let a be the number of cabinet produced and y be the number of dresser produced). 10. Which of the following objective function best describe the given problem? (P=Profit) (A) Max P = 100x + 80y (C) Max P = 80x – 100y %3D %3D (B) Max P = 100x – 80y (D) Max P = 80x + 100y
Transcribed Image Text:For items 10 -17, consider the following: 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 4 hours in Finishing and 2 hours in Assembly, while it takes 4 hours to assemble a dresser and 2 hours to finish it. If the profit generated per cabinet is Php80 and per dresser is Php100.(Hint: Let a be the number of cabinet produced and y be the number of dresser produced). 10. Which of the following objective function best describe the given problem? (P=Profit) (A) Max P = 100x + 80y (C) Max P = 80x – 100y %3D %3D (B) Max P = 100x – 80y (D) Max P = 80x + 100y
11. Which of the following LP model (objective function and constraints) best describe the given problem? Open with (C) Max P = 80x + 100y Subject to 4x + 2y < 60 2x + 4y < 48 x, y > 0 (A) Max P = 100x + 80y Subject to 2x + 4y < 60 4.x + 2y < 48 x, y > 0 (B) Max P = 100x + 80y Subject to 4x + 2y < 60 2x + 4y < 48 x, y > 0 (D) Max P = 80x + 100y Subject to 2.x + 4y < 60 4.x + 2y < 48 x, y > 0 12. What are the intercepts of the line 2x + 4y = 60? (A) (15, 0) and (0, 30) (C) (0, 24) and (12,0) (B) (0, 15) and (30, 0) (D) (24,0) and (0, 12) 13. What are the intercepts of the line 4x + 2y = 48? (A) (15, 0) and (0, 30) (C) (0, 24) and (12,0) (B) (0, 15) and (30,0) (D) (24, 0) and (0, 12) 14. What are the coordinates of the point of intersection of the lines 2x +4y = 60 and 4x + 2y = 48? (A) (12,6) (C) (6,6) (B) (6, 12) (D) (12, 12).
Transcribed Image Text:11. Which of the following LP model (objective function and constraints) best describe the given problem? Open with (C) Max P = 80x + 100y Subject to 4x + 2y < 60 2x + 4y < 48 x, y > 0 (A) Max P = 100x + 80y Subject to 2x + 4y < 60 4.x + 2y < 48 x, y > 0 (B) Max P = 100x + 80y Subject to 4x + 2y < 60 2x + 4y < 48 x, y > 0 (D) Max P = 80x + 100y Subject to 2.x + 4y < 60 4.x + 2y < 48 x, y > 0 12. What are the intercepts of the line 2x + 4y = 60? (A) (15, 0) and (0, 30) (C) (0, 24) and (12,0) (B) (0, 15) and (30, 0) (D) (24,0) and (0, 12) 13. What are the intercepts of the line 4x + 2y = 48? (A) (15, 0) and (0, 30) (C) (0, 24) and (12,0) (B) (0, 15) and (30,0) (D) (24, 0) and (0, 12) 14. What are the coordinates of the point of intersection of the lines 2x +4y = 60 and 4x + 2y = 48? (A) (12,6) (C) (6,6) (B) (6, 12) (D) (12, 12).
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