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Date: April 14\", 2016 Solve All Questions Problem-1 (6 marks) Part A is produce

ID: 1767015 • Letter: D

Question

Date: April 14", 2016 Solve All Questions Problem-1 (6 marks) Part A is produced on Machine 1 and then Machine 2. One unit of Part A is assembled with two units of Part B, which is produced on Machine 2, in Assembly Station 1. Machine I has a scrap factor of 30%, Machine 2 has a scrap factor of 10%, and the assembly process has a scrap factor of 15% If 20% of the scrapped units produced on Mach ne I can be reworked, what are the requirements for Parts A and B in order to meet the demand of 3000 units per week of the completed product? What would be the number of required units of Machine 2? Assume the company will be operating 5 days per week, 16 hours per day. The following information orn Machine 2 is known: Standard time Efficieney (minutes) 1%) 95 95

Explanation / Answer

Units required U= 3000/week

No. of units required of part A , IA=U/[(1-0.3)(1-0.10)(1-0.15)]= 3000/(0.5355)=5602 units/week (if no rework possible)

Since 20% of scrap units can be reworked on Machine A.

No. of actual units of part A, IA=[(1-0.2)*U]/[(1-0.3)(1-0.10)(1-0.15)]=4482 units

No. of units of part B=2*U/([1-0.1)(1-0.15)=2*3000/0.765=7843 units

Comapny is working for 5 days/week & 16 hrs/day.

No. of minutes /week : H= 5*16*60=4800 min/week

No. of Machine B required=(No. of units to be produced* standard time)/(Efficiency of Machine*Reliability of Machine* duration)

No. of Machine B required=(7843*2)/[(0.95)*(0.95)*4800]=3.62~4 machines

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