Answered: A company is required to make sockets…

Name: A company is required to make sockets and switches each day. At least
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Description: A company is required to make sockets and switches each day. At least 50 sockets and at least 120 switches must be made daily. Each socket is made from 6 components and each switch is made from 7 components. There are 4200 components available. The c

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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A company is required to make sockets and switches each day. At least 50 sockets and at least 120 switches must be made daily. Each socket is made from 6 components and each switch is made from 7 components. There are 4200 components available. The company makes a profit of $4 on each socket and $5 on each switch.

I. Formulate a linear programming model for this solution

II. Represent this on a graph using a scale of 1cm to 50 units on each axis.

III. Find the numbers of sockets and switches that will maximise the profit.

IV. State the maximum profit.

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