2.9
3000 units/week
3000
0.95 Eff
0.95
0.95 Rel
0.9
0.98 Yield
0.95
3 min/unit
5
40 hours/week
40
4.24
7.69
12
2.16
Order
20 Cost
$550 Finishing
$125 Recycle
$75 Price
$1,250 Min Good
15 Max p
Number of castings scheduled
15
16
17
18
19
20
21
22
23
24
25
26
5
0.05
6
0.05
0.05
7
0.05
0.05
0.05
8
0.05
0.05
0.05
0.05
9
0.05
0.05
0.05
0.05
0.05
10
0.05
0.05
0.05
0.05
0.05
0.05
11
0.1
0.05
0.05
0.05
0.05
0.05
0.05
12
0.1
0.1
0.05
0.05
0.05
0.05
0.05
0.05
13
0.15
0.1
0.1
0.05
0.05
0.05
0.05
0.05
0.05
14
0.15
0.15
0.1
0.1
0.05
0.05
0.05
0.05
0.05
0.05
15
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0.05
0.05
0.05
0.05
16
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0.05
0.05
0.05
0.05
17
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0.05
0.05
0.05
18
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0.05
0.05
19
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0.05
20
0.2
0.15
0.15
0.1
0.1
0.05
0.05
21
0.2
0.15
0.15
0.1
0.1
0.05
22
0.2
0.15
0.15
0.1
0.1
23
0.2
0.15
0.15
0.1
24
0.2
0.15
0.15
25
0.2
0.15
26
0.2
27
# of good
castings
2.9 (1 point)
5 days per week = 40 hours
F = (3min/unit/60min/hr)*3000units/(0.95*0.95*40hours*.98) = 1
2.15 and 2.16 (3 points)
a. Make a tree diagram of the 3 potential conditions, as shown
below
b. Write one Excel equation to produce that tree
c. Multiply the probability chart by the profit chart
d. Select the highest expected income
It is at 25 units.
e. For 2.16, Repeat using the binomial equation given instead o
the probability chart and the same Excel equations. The high
now is at 23. As you lower the probability, the required quant
goes up.
2.26 (1 point)
2.27 (1 point)
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28
29
30
1
1
1
1
1
1
1
1
1
1
1
1
2.16
p
0.88
15
16
17
18
19
20
21
22
23
24
25
26
15
0.15
0.28
0.29
0.21
0.12
0.06
0.02
0.01
0
0
0
0
16
0
0.13
0.26
0.28
0.22
0.13
0.07
0.03
0.01
0
0
0
17
0
0
0.11
0.25
0.28
0.22
0.14
0.07
0.03
0.01
0.01
0
18
0
0
0
0.1
0.23
0.27
0.23
0.15
0.08
0.04
0.02
0.01
19
0
0
0
0
0.09
0.21
0.27
0.23
0.16
0.09
0.05
0.02
20
0
0
0
0
0
0.08
0.2
0.26
0.24
0.17
0.1
0.05

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- Spring '06
- Bottlik
- $7,800, $7,725, $1,163, $10,550, $10,075, $10,625
-
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