The demand function for a market is given by $Q=200-3P$ and the supply function is given by $Q=2P+100.$

a$.$ The world price is given at $$10.$ Is this an importing country or an exporting county? Calculate the amount of import$/$ export and show your work and show your answers graphically.

b$.$ Calculate the consumer surplus, producer surplus, and the gain from trade $($if there is any$)$ and show your answers graphically.

c$.$ If the government imposes tariff for $$5.$ Calculate the new import$/$export$,$ the new quantity demanded and quantity supplied. Calculate the consumer surplus, producer surplus, government revenue, and dead$-$weight loss $($if there are any$)$ and show your answers graphically.