A cobbler family makes mainly two types of shoes for Gents and Ladies. The Gents' shoe takes 1.5 hours of machining time and 3 hours of manual labour. For the Ladies' shoe it takes 3 hours of machining time and 1 hour of manual labour. Maximum machine-time available in a day is 42 hours and man-hours available is 24 hours. The profit on the Gents' shoe and Ladies' shoe are RO 6 and RO 3 respectively. Determine the number of shoes of each type that must be made so as to maximize the profit by optimizing the resources. What is the maximum profit that could be made?

A cobbler family makes mainly two types of shoes for Gents and Ladies. The Gents' shoe takes 1.5 hours of machining time and 3 hours of manual labour. For the Ladies' shoe it takes 3 hours of machining time and 1 hour of manual labour. Maximum machine-time available in a day is 42 hours and man-hours available is 24 hours. The profit on the Gents' shoe and Ladies' shoe are RO 6 and RO 3 respectively. Determine the number of shoes of each type that must be made so as to maximize the profit by optimizing the resources. What is the maximum profit that could be made?

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Description: A cobbler family makes mainly two types of shoesfor Gents and Ladies. The Gents' shoe takes 1.5hours of machining time and 3 hours of manuallabour. For the Ladies' shoe it takes 3 hours ofmachining time and 1 hour of manual labour.Maximum machine-ti

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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Question

A cobbler family makes mainly two types of shoes
for Gents and Ladies. The Gents' shoe takes 1.5
hours of machining time and 3 hours of manual
labour. For the Ladies' shoe it takes 3 hours of
machining time and 1 hour of manual labour.
Maximum machine-time available in a day is 42
hours and man-hours available is 24 hours. The
profit on the Gents' shoe and Ladies' shoe are RO
6 and RO 3 respectively. Determine the number of
shoes of each type that must be made so as to
maximize the profit by optimizing the resources.
What is the maximum profit that could be made?

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