tSorry the formating on that last post was so strange. Here it is again. Thanks for your help. When I add the assume and additionally conditions, i am able to get some answers, although I do not understand them. They are in the RootOF form.I have read the documentation of this but I am still confused about how to interpret this. Here is the code with the solutions at the end. if anyway has any suggestions about how to interpret the RootOf in this case i would be thrilled. restart;

> assume(d>=0):

> additionally(d<=1):

> assume(r>=0):

> additionally(r<=1):

> assume(z>0):

> additionally(z<1):

> assume(x>1):

> f:=d*(1-r); >

> q:=r^z*(1-(1-r)*d)+(1-(r^z))*(1-d)-x; >

> g:=f+mu*q; >

> eq1:=diff(g,mu);

> eq2:=diff(g,d);

>eq3:=diff(g,r);

>ew2:=solve({eq1=0,eq2=0,eq3=0},{d,r,mu});

> ew2 := {r = exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z)))),

d = -(z+1-x*z-x-exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*x*z)/(-z-1+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))),

mu = -(-z-1+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z)/(z+1)}

Thanks for everyone's help. I really appreciate it.

thanks for your help. When I add the assume and additionally conditions, i am able to get some answers, although I do not understand them. They are in the RootOF form.I have read the documentation of this but I am still confused about how to interpret this. Here is the code with the solutions at the end. if anyway has any suggestions about how to interpret the RootOf in this case i would be thrilled. restart; > assume(d>=0): > additionally(d<=1): > assume(r>=0): > additionally(r<=1): > assume(z>0): > additionally(z<1): > assume(x>1): > f:=d*(1-r); > > q:=r^z*(1-(1-r)*d)+(1-(r^z))*(1-d)-x; > > g:=f+mu*q; > > eq1:=diff(g,mu); > eq2:=diff(g,d); >eq3:=diff(g,r); >ew2:=solve({eq1=0,eq2=0,eq3=0},{d,r,mu}); > ew2 := {r = exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z)))), d = -(z+1-x*z-x-exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*x*z)/(-z-1+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))), mu = -(-z-1+exp(RootOf(_Z*z-ln(-1/(-z-1+exp(_Z)*z))))*z)/(z+1)} Thanks for everyone's help. I really appreciate it.