On the fact that the production process held by a cemint'
factory at tartous region province , cause air , land , pollution that
might be reflected in bad health of people those either work at
factory or live nearby.
Therefor the present studies
take into its considerations the
new alternatives to lower such pollution level so as the production
cost therefor higher profits will be gained as a result the higher
welfare is.
In this paper, we will study one of the concepts of game theory,
which is the Nash equilibrium and mixed strategy.
And how to find mixed strategy Nash equilibrium Which aims to
find the optimal possibilities corresponding to each strategy thus
ensuring better profit for each player chosen so as not inconsistent
with the interests of others.
The present research aimed at calculating the optimum size
of production so reaching the minimum point at production cost
curve. The profit function in the short run was used , the results
showed that the optimum size of phosphate' factory product
ion
amounted to about 27.5 thousands ton which accompanied with
both minimum cost and higher profit.
