TABLE 13.3 Expected cost for each possible outcome And the demand probabilities are If the stocking The expected cost will be 2 3 prob. = .20 prob. =.40 prob. = .30 prob. =.10 level is 1 unit short .40(1) ($4,200) = $1,680 S=D 2 units short .30(2) 3 units short .10(3) $0 ($4,200) = $2,520 ($4,200) = $1,260 $5,460 1-unit excess .20(1) ($800) = $160 2 units short .10(2) ($4,200) = $840 S=D 1 unit short .30(1) ($4,200) = $1,260 $0 $2,260 2-unit excess .20(2) ($800) = $320 1-unit excess .40(1) ($800) = $320 S=D 1 unit short .10(1) ($4,200) = $420 $0 $1,060 2-unit excess .40(2) ($800) = $640 1-unit excess .30(1) ($800) = $240 3-unit excess .20(3) S=D ($800) = $480 $0 $1,360
TABLE 13.3 Expected cost for each possible outcome And the demand probabilities are If the stocking The expected cost will be 2 3 prob. = .20 prob. =.40 prob. = .30 prob. =.10 level is 1 unit short .40(1) ($4,200) = $1,680 S=D 2 units short .30(2) 3 units short .10(3) $0 ($4,200) = $2,520 ($4,200) = $1,260 $5,460 1-unit excess .20(1) ($800) = $160 2 units short .10(2) ($4,200) = $840 S=D 1 unit short .30(1) ($4,200) = $1,260 $0 $2,260 2-unit excess .20(2) ($800) = $320 1-unit excess .40(1) ($800) = $320 S=D 1 unit short .10(1) ($4,200) = $420 $0 $1,060 2-unit excess .40(2) ($800) = $640 1-unit excess .30(1) ($800) = $240 3-unit excess .20(3) S=D ($800) = $480 $0 $1,360
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
A manager is going to purchase new processing equipment and must decide on the number of
spare parts to order with the new equipment. The spares cost $200 each, and any unused spares
will have an expected salvage value of $50 each. The probability of usage can be described by this
distribution:
Number 0 1 2 3
Probability .10 .50 .25 .15
If a part fails and a spare is not available, two days will be needed to obtain a replacement
and install it. The cost for idle equipment is $500 per day. What quantity of spares should be
ordered?
a. Use the ratio method.
b. Use the tabular method (see Table 13.3).

Transcribed Image Text:TABLE 13.3
Expected cost for each possible outcome
And the demand probabilities are
If the
stocking
The expected
cost will be
2
3
prob. = .20
prob. =.40
prob. = .30
prob. =.10
level is
1 unit short .40(1)
($4,200) = $1,680
S=D
2 units short .30(2)
3 units short .10(3)
$0
($4,200) = $2,520
($4,200) = $1,260
$5,460
1-unit excess .20(1)
($800) = $160
2 units short .10(2)
($4,200) = $840
S=D
1 unit short .30(1)
($4,200) = $1,260
$0
$2,260
2-unit excess .20(2)
($800) = $320
1-unit excess .40(1)
($800) = $320
S=D
1 unit short .10(1)
($4,200) = $420
$0
$1,060
2-unit excess .40(2)
($800) = $640
1-unit excess .30(1)
($800) = $240
3-unit excess .20(3)
S=D
($800) = $480
$0
$1,360
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