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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 65 "Exponential Models with \+
Immigration -- Stretch Your Understanding" }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 91 "The cell below looks at one partic
ular price model based on the law of supply and demand.  " }{TEXT 256 
127 "Evaluate it now and then use it as the basis for answer the quest
ions in the Stretch Your Understanding section of this module." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 383 "k := 0.0001:\n\nsupply := p -> 500 * (p - 0.50):\ndemand := p -
> 1000 * (2 - p):\nfcn := p -> p + k * (demand(p) - supply(p)):\n\npri
ce := proc(n)\n         if n = 1 then 1.00 else fcn(price(n - 1)) fi\n
         end:\n\nfor j from 1 to 20 \n      do printf(`%4d %10.4f`, j,
 price(j));\n      print();\n      od;\n\nplot([seq([n, price(n)], n =
 1 .. 20)], \n        year = 1 .. 20, title = `Price`);\n" }}}}{MARK "
1 0 0" 383 }{VIEWOPTS 1 1 0 1 1 1803 }