Bloom’s Jeans is searching for new suppliers, and Debbie Bloom, the owner, has n
ID: 446862 • Letter: B
Question
Bloom’s Jeans is searching for new suppliers, and Debbie Bloom, the owner, has narrowed her choices to two sets. Debbie is very concerned about supply disruptions, so she has cho- sen to use three suppliers no matter what. For option 1, the suppliers are well established and located in the same country. Debbie calcu- lates the “unique-event” risk for each of them to be 4%. She esti- mates the probability of a nationwide event that would knock out all three suppliers to be 2.5%. For option 2, the suppliers are newer but located in three different countries. Debbie calculates the “unique- event” risk for each of them to be 20%. She estimates the “super- event” probability that would knock out all three of these suppliers to be 0.4%. Purchasing and transportation costs would be $1,000,000 per year using option 1 and $1,010,000 per year using option 2. A total disruption would create an annualized loss of $500,000.
a) What is the probability that all three suppliers will be dis- rupted using option 1?
b) What is the probability that all three suppliers will be dis- rupted using option 2?
c) What is the total annual purchasing and transportation cost plus expected annualized disruption cost for option 1?
d) What is the total annual purchasing and transportation cost plus expected annualized disruption cost for option 2?
e) Which option seems best?
Explanation / Answer
a) What is the probability that all three suppliers will be disrupted using option 1? : Probability of all 3 getting disrupted =Probability of a nationwide event +Probability that all 3 get disrupted "uniquely" =2.5%+(4%*4%*4%) 0.02500256 or 2.5% b)What is the probability that all three suppliers will be disrupted using option 2? =Probability of a super event+ Probability that all 3 get disrupted "uniquely" =0.4%+(20%)^3 0.012 or 1.2% c)What is the total annual purchasing and transportation cost plus expected annualized disruption cost for option 1? Answer: =Total purchasing & transport cost + Probability of disruption*Loss on disruption $1,012,501.28 d)What is the total annual purchasing and transportation cost plus expected annualized disruption cost for option 2? : =Total purchasing cost & transport cost + Probability of disruption*Loss on disruption $1,016,000.00 e)Which option seems best? Since the total expected cost is lesser in option 1, option 1 seems best.