October 31st, 2012, 11:22 PM  #1 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  number of lathes required ?
A lathe machine is used for turning operation and it takes 30 minutes to process the component . Efficiency of the lathe is 90 % and the scrap is 20 % . the desired output is 600 pieces per week . Consider 48 hours per week . Determine the number of lathes required ?  solving Time = 600 x 0.5 = 300 hr Now 300 / 0.9 =333.3 
November 1st, 2012, 12:08 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: number of lathes required ?
Each lathe will work for 90% of 48 hours, or 43.2 hours. 2 components per hour can be processed by each lathe, or 86.4 components per week. Divide 600 by this, and round up to the nearest integer to determine the minimum number of lathes required.

November 1st, 2012, 12:38 AM  #3 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  Re: number of lathes required ?
thanks .. please Can explain this solving Time taken includiin scrap = 300/ 0.8 = 375 Hours 375 / 0.9 = 416 .6 number of lath machine 416 .6 / 48 = 9 
November 1st, 2012, 12:43 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: number of lathes required ?
I assumed the scrap was just an extraneous piece of information. If 20% of the components have to be discarded, then: Each lathe will work for 90% of 48 hours, or 43.2 hours. 2 components per hour can be processed by each lathe, or 86.4 components per week. 20% of these will be scrap, so we are left with 80% of 86.4 components, or 69.12. Divide 600 by this, and round up to the nearest integer to determine the minimum number of lathes required. 
November 1st, 2012, 02:21 AM  #5 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  Re: number of lathes required ?
thanks but what mean by this step 375 / 0.9 = 416 .6 ?? 

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