CRUDE MODEL FOR HARVESTING OF WHALES
140000
120000
100000
Whale Population
80000
60000
40000
20000
0
0 50 100 150 200 250
Year
CRUDE MODEL FOR HARVESTING OF WHALES
900
800
700
600
Catch In Year n
500
400
300
200
100
0
0 50 100 150 200 250
Year
CRUDE MODEL FOR HARVESTING OF WHALES
Initial Popn Natural Rate Of Incr Max Sustainable Popn No Of Boats Harvesting Rate Total Annual Harvest aK/4 Fixed Point Fixed Point
(per year) (per yr per boat)
P.0 a K M q H x.P x.Q
75000 0.05 150000 200 4 800 1875 18210.9165 131789.083
CRUDE MODEL FOR HARVESTING MODEL FOR CRUDE MODEL OF HARVESTING OF W HALES
CRUDE MODEL FOR HARVESTING OF W HALES CRUDEOF W HALES HARVESTING FORW HALES
Year W hale Population Natural Increase In Year n Catch In Year n Total Catch To Year n
H = 800 H = 800 H = 800 H = 800
n P.n I.n C.n TC lastP.n lastI.n lastC.n lastTC
0 75000 1875 800 800
1 76075 1874.614792 800 1600 75000 1875 800 800
2 77149.61479 1873.459719 800 2400 76075 1874.61479 800 1600
3 78223.07451 1871.537264 800 3200 77149.61479 1873.45972 800 2400
4 79294.61177 1868.852103 800 4000 78223.07451 1871.53726 800 3200
5 80363.46388 1865.411085 800 4800 79294.61177 1868.8521 800 4000
6 81428.87496 1861.223189 800 5600 80363.46388 1865.41109 800 4800
worksheet main main main main main main
column 1 2 1 4
rows 201 201 201 201 201 201
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titles CRUDE MODEL
CRUDE MODEL FOR HARVESTING OF WHALES FOR HARVESTING OF WHALES
axis labels Year Whale Population Year Catch In Year n
series labels H = 800 H = 800
data 0 75000 0 800
1 76075 1 800
2 77149.61 2 800
3 78223.07 3 800
4 79294.61 4 800
5 80363.46 5 800
6 81428.87 6 800
7 82490.1 7 800
8 83546.4 8 800
9 84597.05 9 800
10 85641.35 10 800
11 86678.6 11 800
12 87708.14 12 800
13 88729.31 13 800
14 89741.48 14 800
15 90744.04 15 800
16 91736.41 16 800
17 92718.05 17 800
18 93688.4 18 800
19 94646.98 19 800
20 95593.32 20 800
21 96526.95 21 800
22 97447.48 22 800
23 98354.52 23 800
24 99247.71 24 800
25 100126.7 25 800
26 100991.3 26 800
27 101841.1 27 800
28 102675.9 28 800
29 103495.6 29 800
30 104300 30 800
31 105088.8 31 800
32 105862 32 800
33 106619.5 33 800
34 107361.3 34 800
35 108087.2 35 800
36 108797.3 36 800
37 109491.5 37 800
38 110170 38 800
39 110832.6 39 800
40 111479.7 40 800
41 112111.1 41 800
42 112727 42 800
43 113327.5 43 800
44 113912.9 44 800
45 114483.1 45 800
46 115038.5 46 800
47 115579.1 47 800
48 116105.3 48 800
49 116617 49 800
50 117114.7 50 800
51 117598.5 51 800
52 118068.6 52 800
53 118525.3 53 800
54 118968.8 54 800
55 119399.4 55 800
56 119817.3 56 800
57 120222.8 57 800
58 120616.1 58 800
59 120997.5 59 800
60 121367.2 60 800
61 121725.6 61 800
62 122072.8 62 800
63 122409.2 63 800
64 122735 64 800
65 123050.4 65 800
66 123355.8 66 800
67 123651.4 67 800
68 123937.4 68 800
69 124214.1 69 800
70 124481.8 70 800
71 124740.6 71 800
72 124990.9 72 800
73 125232.9 73 800
74 125466.8 74 800
75 125692.8 75 800
76 125911.2 76 800
77 126122.2 77 800
78 126326.1 78 800
79 126523 79 800
80 126713.1 80 800
81 126896.7 81 800
82 127073.9 82 800
83 127245 83 800
84 127410.2 84 800
85 127569.6 85 800
86 127723.4 86 800
87 127871.8 87 800
88 128015 88 800
89 128153.1 89 800
90 128286.4 90 800
91 128414.9 91 800
92 128538.8 92 800
93 128658.4 93 800
94 128773.6 94 800
95 128884.8 95 800
96 128991.9 96 800
97 129095.2 97 800
98 129194.8 98 800
99 129290.7 99 800
100 129383.2 100 800
101 129472.4 101 800
102 129558.3 102 800
103 129641.1 103 800
104 129720.9 104 800
105 129797.8 105 800
106 129871.8 106 800
107 129943.2 107 800
108 130012 108 800
109 130078.2 109 800
110 130142 110 800
111 130203.4 111 800
112 130262.6 112 800
113 130319.6 113 800
114 130374.6 114 800
115 130427.4 115 800
116 130478.4 116 800
117 130527.4 117 800
118 130574.7 118 800
119 130620.1 119 800
120 130663.9 120 800
121 130706.1 121 800
122 130746.7 122 800
123 130785.8 123 800
124 130823.5 124 800
125 130859.7 125 800
126 130894.6 126 800
127 130928.2 127 800
128 130960.6 128 800
129 130991.7 129 800
130 131021.7 130 800
131 131050.5 131 800
132 131078.3 132 800
133 131105.1 133 800
134 131130.8 134 800
135 131155.6 135 800
136 131179.4 136 800
137 131202.4 137 800
138 131224.5 138 800
139 131245.7 139 800
140 131266.2 140 800
141 131285.9 141 800
142 131304.9 142 800
143 131323.1 143 800
144 131340.7 144 800
145 131357.6 145 800
146 131373.9 146 800
147 131389.6 147 800
148 131404.6 148 800
149 131419.1 149 800
150 131433.1 150 800
151 131446.5 151 800
152 131459.5 152 800
153 131471.9 153 800
154 131483.9 154 800
155 131495.4 155 800
156 131506.5 156 800
157 131517.2 157 800
158 131527.4 158 800
159 131537.3 159 800
160 131546.8 160 800
161 131556 161 800
162 131564.8 162 800
163 131573.3 163 800
164 131581.4 164 800
165 131589.3 165 800
166 131596.8 166 800
167 131604.1 167 800
168 131611.1 168 800
169 131617.8 169 800
170 131624.3 170 800
171 131630.5 171 800
172 131636.5 172 800
173 131642.3 173 800
174 131647.8 174 800
175 131653.2 175 800
176 131658.3 176 800
177 131663.2 177 800
178 131668 178 800
179 131672.6 179 800
180 131677 180 800
181 131681.2 181 800
182 131685.3 182 800
183 131689.2 183 800
184 131693 184 800
185 131696.6 185 800
186 131700.1 186 800
187 131703.5 187 800
188 131706.7 188 800
189 131709.9 189 800
190 131712.9 190 800
191 131715.7 191 800
192 131718.5 192 800
193 131721.2 193 800
194 131723.8 194 800
195 131726.2 195 800
196 131728.6 196 800
197 131730.9 197 800
198 131733.1 198 800
199 131735.2 199 800
200 131737.3 200 800
TING OF WHALES