If the profit generated per cabinet is P80 and per dresser is P100, write the objecti that best describe the given problem where r is the number of cabinet produced, y is of dresser produced and P is the profit. Construct the constraints that best describe the given problem where r is the number produced and y is the number of dresser produced. How many units of cabinet should the company produce to maximize the profit? How many units of dresser should the company produce to maximize the profit? What is the maximum profit for the given problem?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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For items 8 -12, 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 48 hours of work available each week, while the
finishing department has 36 hours each week. Making one cabinet needs 3 hours in Finishing and
2 hours in Assembly, while it takes 3 hours to assemble a dresser and 4 hours to finish it.
8. If the profit generated per cabinet is P80 and per dresser is P100, write the objective function
that best describe the given problem where r is the number of cabinet produced, y is the number
of dresser produced and P is the profit.
9. Construct the constraints that best describe the given problem where r is the number of cabinet
produced and y is the number of dresser produced.
10. How many units of cabinet should the company produce to maximize the profit?
11. How many units of dresser should the company produce to maximize the profit?
12. What is the maximum profit for the given problem?
Transcribed Image Text:For items 8 -12, 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 48 hours of work available each week, while the finishing department has 36 hours each week. Making one cabinet needs 3 hours in Finishing and 2 hours in Assembly, while it takes 3 hours to assemble a dresser and 4 hours to finish it. 8. If the profit generated per cabinet is P80 and per dresser is P100, write the objective function that best describe the given problem where r is the number of cabinet produced, y is the number of dresser produced and P is the profit. 9. Construct the constraints that best describe the given problem where r is the number of cabinet produced and y is the number of dresser produced. 10. How many units of cabinet should the company produce to maximize the profit? 11. How many units of dresser should the company produce to maximize the profit? 12. What is the maximum profit for the given problem?
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