Let the corresponding threshold volume = N
At volume N :
Total cost of purchasing from a vendor = $ 7.N
Total cost of making it in house through first process , $ = 160,000 + 5.N
Total cost of making it in house through second process , $ = 190,000 +4.N
Applicable volume for buying it from outside vendor :
One will buy from outside vendor if,
Total cost of purchasing from vendor 160,000
Or, N > 80,000
As well as ,
160,000 + 5.N 80,000 as well as N > 30,000.
Applicable volume for making it in house through second process:
Cost of making it in house through second process 190,000
Or, N > 63333.33
As well as ,
190,000 + 4.N 30,000
Taking into account both constraints together i.e N > 30,000 as well as N > 63333.33,
It should be N > 63333.33
IT THUS CAN BE SUMMARIZED THAT :
FOR VOLUME LESS THAN 63,334 IT IS BEST TO BUY FROM OUTSIDE VENDOR. FOR LARGER QUANTITIES IT IS BEST TO PRODUCE IN HOUSE THROUGH SECOND PROCESS ( i.e $4 / UNIT )
FOR ANNNUAL VOLUME LESS THAN 63334 PURCHASING THE MOTORS FROM A VENDOR IS BEST, FOR LARGER QUANTITIES , BEST TO PRODUCE IN HOUSE AT $4 PER UNIT
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