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. a.) If the profit generated per cabinet is ₱80 and per dresser is ₱100, write the objective function that best describe the given problem where x is the number of cabinet produced, y is the number of dresser produced and P is the profit. b.) How many units of dresser should the company produce to maximize the profit? c.) How many units of cabinet should the company produce to maximize the profit? d.) What is the maximum profit for the given problem?

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. a.) If the profit generated per cabinet is ₱80 and per dresser is ₱100, write the objective function that best describe the given problem where x is the number of cabinet produced, y is the number of dresser produced and P is the profit. b.) How many units of dresser should the company produce to maximize the profit? c.) How many units of cabinet should the company produce to maximize the profit? d.) 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 73P

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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. 1. If the profit generated per cabinet is −−P80 and per dresser is −−P100. 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?
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