Demand and Supply functions for rice are given as below:Q$\_$d$($R$)=-1600-0\mathrm{.}3$P$\_$R $+0\mathrm{.}1$P$\_$W $+0\mathrm{.}15$YQ$\_$s$($R$)=-200+0\mathrm{.}8$P$\_$R $-0\mathrm{.}3$P$\_$W $-0\mathrm{.}1$W $+8$RWhereas: P$\_$R $=$ Average Price of Rice, P$\_$W $=$ Average Wholesale Price of Wheat $=$ $$350,$ W $=$ Average wages of unskilled labor $=$ $$750,$ Y $=$ Income of the consumer $=$ $$8,000,$ R $=$ Average Annual Rainfall $=25$ inches$($a$)$ Find out market$-$clearing price and quantity of rice.$($b$)$ Find out market$-$clearing price and quantity of rice if the government imposes $$15$ per unit tax on buyers and sellers simultaneously.$($c$)$ Find out cross$-$price elasticity of supply; interpret your results. Also, identify that both rice and wheat are what types of products.