Suppose we have three consumers A, B and C with the following utility functions
UA (c₁, c₂) = min {c₁, 3c₂}
Ub (c₁, c₂) = c₁+ 3c₂
Uc (c₁, c₂) = c₁(c₂³)
Derive the demand functions for goods c1, c2 for all consumers