A stamping plant supplies sheet metal parts to a final assembly plant in the aut

Question

A stamping plant supplies sheet metal parts to a final assembly plant in the automotive industry. The following data are values representative of the parts made at the plant. Annual demand is 150,000 pc (for each part produced). Average cost per piece is $18 and holding cost is 20% of piece cost. Changeover (setup) time for the presses is 5 hours and the cost of downtime on any given press is $200/hr. Determine (a) the economic batch size and (b) the total annual inventory cost for the data. If the changeover time for the presses could be reduced to 10 minutes, determine (c) the economic batch size and (d) the total annual inventory cost.

Explanation / Answer

a) D=150000, S=$200/hr*5hr=$1000, H=$18*20%=3.6

EOQ=sqrt(2DS/H)=sqrt(2(150000)(5*200)/(18*.2))=9129pc

b) Q=EOQ=9129

C=(QH/2)+(DS/Q)=((9129/2)*3.6)+((150000/9129)*1000)=$32863

c) new S=$200/hr*(10/60)hr=$33

EOQ=sqrt(2DS/H)=sqrt(2(150000)((10/60)*200)/(18*.2))=1667pc

d) new Q=EOQ=1667

C=(QH/2)+(DS/Q)=(((1667/2)*3.6)+((150000/1667)*33)=$5970

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