Suppose that you have estimated the following demand curve:

Q_D = 1200 4P + .01I

You know that the current market price is $11 and average income (I) is $40,000.

a)Calculate the markets total Demand?

b)Calculate the market's consumer surplus.

c)Calculate the price elasticity of demand.

d)Is the price elasticity of demand calculated in Question #1c elastic or inelastic?

e)Calculate the income elasticity of demand

f)Based on the income elasticity of demand calculated in Question #1e, is this product a normal good or an inferior good?

Please show work for explanation