A company is launching a new product. The production will be realized by a combination of young workers and experienced workers. A young worker can produce 1 unit per day, an experienced worker takes care of a production of 1.5 units per day. To coach the young workers, for every 3 young workers there should be at least 1 experienced worker. A local law requires at least 10% of the workers to be young workers. The cost to hire a young worker is €60 per day, the cost to hire an experienced worker is €150 per day. The company has a maximum budget of €1500 per day for the salaries of the workers and aims to realize a production of at least 15 units per day. (a) Show on a graph what are the possibilities for the numbers of young and experienced workers to be hired. (b) Which combinations of young and experienced workers will satisfy the requirements at minimum cost? (The workers don't need to work in this production unit on a full-time basis, so the solution need not be a combination of integer numbers.) What is the minimum cost?
A company is launching a new product. The production will be realized by a combination of young workers and experienced workers. A young worker can produce 1 unit per day, an experienced worker takes care of a production of 1.5 units per day. To coach the young workers, for every 3 young workers there should be at least 1 experienced worker. A local law requires at least 10% of the workers to be young workers. The cost to hire a young worker is €60 per day, the cost to hire an experienced worker is €150 per day. The company has a maximum budget of €1500 per day for the salaries of the workers and aims to realize a production of at least 15 units per day. (a) Show on a graph what are the possibilities for the numbers of young and experienced workers to be hired. (b) Which combinations of young and experienced workers will satisfy the requirements at minimum cost? (The workers don't need to work in this production unit on a full-time basis, so the solution need not be a combination of integer numbers.) What is the minimum cost?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:31. A company is launching a new product. The production will be realized by a combination of young
workers and experienced workers. A young worker can produce 1 unit per day, an experienced worker
takes care of a production of 1.5 units per day. To coach the young workers, for every 3 young workers
there should be at least 1 experienced worker. A local law requires at least 10% of the workers to
be young workers. The cost to hire a young worker is €60 per day, the cost to hire an experienced
worker is €150 per day. The company has a maximum budget of €1500 per day for the salaries of
the workers and aims to realize a production of at least 15 units per day.
(a) Show on a graph what are the possibilities for the numbers of young and experienced workers
to be hired.
(b) Which combinations of young and experienced workers will satisfy the requirements at minimum
cost? (The workers don't need to work in this production unit on a full-time basis, so the solution
need not be a combination of integer numbers.) What is the minimum cost?
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