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Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of l

ID: 465797 • Letter: P

Question

Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. As the suppliers all reside in a location prone to hurricanes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time at least 2 weeks is 2%. Such a total shutdown would cost the company approximately $520,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $16,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available.

Explanation / Answer

Total shut down cost =$520,000 that for 2%

Unique risk suppliers is 5%

Additional supplier cost per year is $16,000

First supplier = 16,000 *5/100=$800(risk amount)

Second supplier =32,000*5/100=$1600(risk amount)

Third supplier =48,000*5/100=$2400(risk amount)

Fourth supplier = 64,000*5/100=$3200(risk amount)

Fifth supplier =80,000 * 5/100 =$4,000(risk amount)

Total shut down risk =$520,000   *   2/100 = $10,400(risk value)

$800 + $1600+ $2400 + $3200=$8,000

so upto four supplier he can use