• Suppose that there are one consumer of type "A" and another consumer of type "B".
• A's inverse demand function: p = 4-x and B's inverse demand function : p = 2-2/3x
• There is one firm with cost function c(x)=tx^2 + 1 (where t>0)

Suppose that t>1/2. Calculate the aggregate surplus in equilibrium and derive t-elasticity of aggregate surplus in equilibrium.