We consider the following mixed m-state model with leisure utility:
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.
.
.
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where

and
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.
.
.
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and
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.
.
.
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Each constant labor can be computed from

and
for state
1

and
for state
2

and
for state
3
.
.
.

and
for state
m
respectively beforehand. We here change both thetafs and hfs.