In 2011, the demand for rice in India was given by Q_d = 100 2p_R. Here Q_d is the quantity demanded in kilograms and p_R is the price of rice in rupees. Agriculture in India relies heavily on the monsoon rains. 2011 saw a plentiful monsoon and the supply of rice was given by Q_s = 10 + p_R.

1. What was the equilibrium price of rice in India in 2011? How much rice was sold in the market? Draw a properly labeled diagram to illustrate your answer.
2. The rains in 2012 are not as good. In fact a lot of regions are facing a drought like situation. Discuss what might happen to the supply curve of rice in 2012? Will a lack of rains affect the demand for rice? Discuss.
3. Now suppose demand is not affected. Is Q_s = 5 + 0.5p_R a possible candidate for the new supply function? How about Q_s = 5 + 2p_R? Why?
4. If the new supply function is indeed given by Q_s = 5 + 0.5p_R what is the new equilibrium price and quantity? Illustrate your answer on the same graph as for the previous part of the question
5. The government wants to help the poor by keeping rice prices in check. It decides to import some rice into the country. The supply function for imported rice is given by Q_{imp s} = 5+0.5p_R. What is the new supply function for the Indian market? Calculate the new equilibrium and illustrate on the graph you have drawn previously
6. Will the consumers favour the new policy? What about rice farmers? Why?