(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 t3 N(t) =-45t2 + 16t, %3D Osts 10 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?
(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 t3 N(t) =-45t2 + 16t, %3D Osts 10 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?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:(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
t3
N(t) =-45t2 + 16t,
%3D
Osts 10
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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