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) Max P = 100x + 80y subject to 2x + 4y ≤ 60 4x + 2y ≤ 48 x; y ≥ 0 (b) Max P = 100x + 80y subject to 4x + 2y ≤ 60 2x + 4y ≤ 48 x; y ≥ 0 (c) Max P = 80x + 100y subject to 4x + 2y ≤ 60 2x + 4y ≤ 48 x; y ≥ 0 (d) Max P = 100x + 80y subject to 4x + 2y ≥ 60 2x + 4y ≥ 48 x; y ≥ 0 22. How many units of cabinet should the company produce to maximize the profit? (a) 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)
Max P = 100x + 80y
subject to
2x + 4y ≤ 60
4x + 2y ≤ 48
x; y ≥ 0
(b)
Max P = 100x + 80y
subject to
4x + 2y ≤ 60
2x + 4y ≤ 48
x; y ≥ 0
(c)
Max P = 80x + 100y
subject to
4x + 2y ≤ 60
2x + 4y ≤ 48
x; y ≥ 0
(d)
Max P = 100x + 80y
subject to
4x + 2y ≥ 60
2x + 4y ≥ 48
x; y ≥ 0
22. How many units of cabinet should the company produce to maximize the profit?
(a) 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
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
