Jack's demand function is given by x(px,py,M)=pxM-py^2
1. Is x an inferior good? explain.
2. What is the own price elasticity if py=1, px=2 and M=20?
3. What is the cross price elasticity if py=1, px=2 and M=20?
4, What is market demand if py=4,px=3 and M=20 and there are 12 identical consumers in the market?
Explain your answers and provides examples.