Goop Inc needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be Normally distributed with a mean of 250 gallons and a standard deviation of 125 gallons. Goop sells the polymer for $25 per gallon. Goop’s purchases raw material for $10 per gallon and Goop must spend $5 per gallon to dispose of all unused raw material due to government regulations. If demand is more than Goop can make, then Goop sells only what they made and the rest of demand is lost. Suppose Goop wants to ensure that there is a 92% probability that they will be able to satisfy the customer's entire demand. How many gallons of the raw material should they purchase? *Use Table in image and round your answer to the nearest integer.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Goop Inc needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be Normally distributed with a mean of 250 gallons and a standard deviation of 125 gallons. Goop sells the polymer for $25 per gallon. Goop’s purchases raw material for $10 per gallon and Goop must spend $5 per gallon to dispose of all unused raw material due to government regulations. If demand is more than Goop can make, then Goop sells only what they made and the rest of demand is lost.

Suppose Goop wants to ensure that there is a 92% probability that they will be able to satisfy the customer's entire demand. How many gallons of the raw material should they purchase? *Use Table in image and round your answer to the nearest integer.

 
-4.0
-3.9
-3.8
-3.7
-3.6
-3.5
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-19
-1.8
-1.7
-1.6
-15
-1.4
-1.3
-12
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0
1
2
3
4
5
6
7
8
9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
F)
0000
0000
0001
0001
0002
0002
0003
.0005
0007
0010
0013
0019
0026
0035
0047
0062
0082
0107
0139
0179
0228
0287
0359
0446
0548
0668
0808
0968
1151
1357
1587
1841
2119
2420
2743
3085
3446
3821
4207
4602
5000
5398
5793
.6179
6554
6915
7257
.7580
7881
8159
.8413
8643
8849
9032
9192
9332
9452
9554
9641
9713
9772
9821
9861
9893
9918
9938
9953
9965
.9974
9981
9987
9990
9993
9995
9997
9998
9998
9999
9999
1.0000
4
0000
0000
0000
0000
0000
0001
0001
0001
0002
0003
0004
0005
0008
0011
0015
0020
0027
0037
0049
0065
0085
0111
0143
0183
0232
0293
0367
0455
0561
0686
0833
1004
1202
1429
1687
1978
2304
2668
3069
3509
3989
4509
5069
5668
6304
6978
7687
8429
9202
1.0004
10833
11686
1.2561
1.3455
1.4367
1.5293
1.6232
1.7183
1.8143
1.9111
2.0085
2.1065
2.2049
2.3037
2.4027
2.5020
2.6015
2.7011
2.8008
2.9005
3.0004
3.1003
3.2002
3.3001
3.4001
3.5001
3.6000
3.7000
3.8000
3.9000
Transcribed Image Text:-4.0 -3.9 -3.8 -3.7 -3.6 -3.5 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -19 -1.8 -1.7 -1.6 -15 -1.4 -1.3 -12 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 1 2 3 4 5 6 7 8 9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 F) 0000 0000 0001 0001 0002 0002 0003 .0005 0007 0010 0013 0019 0026 0035 0047 0062 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 1841 2119 2420 2743 3085 3446 3821 4207 4602 5000 5398 5793 .6179 6554 6915 7257 .7580 7881 8159 .8413 8643 8849 9032 9192 9332 9452 9554 9641 9713 9772 9821 9861 9893 9918 9938 9953 9965 .9974 9981 9987 9990 9993 9995 9997 9998 9998 9999 9999 1.0000 4 0000 0000 0000 0000 0000 0001 0001 0001 0002 0003 0004 0005 0008 0011 0015 0020 0027 0037 0049 0065 0085 0111 0143 0183 0232 0293 0367 0455 0561 0686 0833 1004 1202 1429 1687 1978 2304 2668 3069 3509 3989 4509 5069 5668 6304 6978 7687 8429 9202 1.0004 10833 11686 1.2561 1.3455 1.4367 1.5293 1.6232 1.7183 1.8143 1.9111 2.0085 2.1065 2.2049 2.3037 2.4027 2.5020 2.6015 2.7011 2.8008 2.9005 3.0004 3.1003 3.2002 3.3001 3.4001 3.5001 3.6000 3.7000 3.8000 3.9000
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