An individual has the following characteristics:

Utility=X^aY^b, which implies MUx=aX^a-1Y^b, MUy=BX^aY^b-1 Income M=500, a=1/2, b=1/4

1. What is the formula for the demand curve for good X
2. Graph the curve and plot the points when the price of X is P=100, P=50, P=25 and P=10
3. The market contains 10 individuals. 5 of them have an income of 500 and 5 of them have an income of 200. Graph the market demand curve at the same prices above.