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How to use mathematica to solve this problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128128] How to use mathematica to solve this problem
  • From: åçå <toc531 at gmail.com>
  • Date: Tue, 18 Sep 2012 03:38:58 -0400 (EDT)
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Situation:

  Each unit purchased costs "v",each unit sold produces a revenue of "p",each unit disposed as salvage gives a revenue of "g"=EF=BC=8Cand there is an additional cost "B" associated with each unit of demand not satisfied. If a quantity "Q" is stocked and a demand "x" occurs, the profit is

P(Q,x)= -Qv+px+g(Q-x) if x<=Q
        -Qv+pQ-B(x-Q) if x>=Q

    The expect value of the profit,as a function of Q is given by

    E[P(Q)]=Integral[P(Q,x),(x,0,infinite)]


Question:
         HOW to use mathematica to present"E[P(Q)]"



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