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Questlon 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(e) =- Osts 10 4.5t + 16t, For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?

Questlon 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(e) =- Osts 10 4.5t + 16t, For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?

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 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Question 3 (b)

Questlon 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(e) =- Osts 10 4.5t + 16t, For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?
Transcribed Image Text:Questlon 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(e) =- Osts 10 4.5t + 16t, For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?
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