The daily demand for substitute teachers in the Los Angeles teaching system foll

Question

The daily demand for substitute teachers in the Los
Angeles teaching system follows the distribution given in
Table 7. Los Angeles wants to know how many teachers to
keep in the substitute teacher pool. Whether or not the
substitute teacher is needed, it costs $30 per day to keep a
substitute teacher in the pool. If not enough substitute teachers
are available on a given day, regular teachers are used to cover
classes at a cost of $54 per regular teacher. How many teachers
should Los Angeles have in the substitute teacher pool?†

TABLE 7
Number Needed Probability
200 .03
275 .03
350 .03
400 .05
450 .40
500 .30
550 .06
600 .07
650 .03

Explanation / Answer

-->expected number of teachers=200* 0.03 +275*0.03 + .... 600*0.07 +650*0.03 -->expected number of teachers= 469.25

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