A manufacturer produces two models of racing bike, X and Y, each of which must be processed through two machine shops. Machine shop 1 is available for 100 hours per month and machine shop 2 for 160 hours per month. The manufacture of each bike of type X takes 6 hours in shop 1 and 3 hours in shop 2. The corresponding times for Y are 4 and 10 hours respectively. If the profit is $160 and $200 per bike of type X and Y respectively, how should the manufacturer arrange production to maximize total profit?

A manufacturer produces two models of racing bike, X and Y, each of which must be processed through two machine shops. Machine shop 1 is available for 100 hours per month and machine shop 2 for 160 hours per month. The manufacture of each bike of type X takes 6 hours in shop 1 and 3 hours in shop 2. The corresponding times for Y are 4 and 10 hours respectively. If the profit is $160 and $200 per bike of type X and Y respectively, how should the manufacturer arrange production to maximize total profit?

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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