A manufacturer produces two models of racing bike, B and C, each of which must be processed through two machine shops. Machine shop 1 is available for 120 hours per month and machine shop 2 for 180 hours per month. The manufacture of each bike of type B takes six hours in shop 1 and three hours in shop 2. The corresponding times for C are 4 and 10 hours, respectively. If the profit is $180 and $220 per bike of type B and C, respectively, how should the manufacturer arrange production to maximise total profit?

A manufacturer produces two models of racing bike, B and C, each of which must be processed through two machine shops. Machine shop 1 is available for 120 hours per month and machine shop 2 for 180 hours per month. The manufacture of each bike of type B takes six hours in shop 1 and three hours in shop 2. The corresponding times for C are 4 and 10 hours, respectively. If the profit is $180 and $220 per bike of type B and C, respectively, how should the manufacturer arrange production to maximise total profit?

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Description: 1. A manufacturer produces two models of racing bike, B and C, each of which must beprocessed through two machine shops. Machine shop 1 is available for 120 hours permonth and machine shop 2 for 180 hours per month. The manufacture of each bike ofty

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

1. A manufacturer produces two models of racing bike, B and C, each of which must be
processed through two machine shops. Machine shop 1 is available for 120 hours per
month and machine shop 2 for 180 hours per month. The manufacture of each bike of
type B takes six hours in shop 1 and three hours in shop 2. The corresponding times for
C are 4 and 10 hours, respectively. If the profit is $180 and $220 per bike of type B and C,
respectively, how should the manufacturer arrange production to maximise total profit?

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