Question: Suppose a quasilinear preference is represented by a utility function of the form u(x)=x1+(x2,...,xn). Show that the Hicksian demand functions for goods 2,.,n are independent

Suppose a quasilinear preference is represented by a utility function of the form u(x)=x1+(x2,...,xn). Show that the Hicksian demand functions for goods 2,.,n are independent of utility with and without assuming this function is differentiable, i.e. use the definition of quasilinear preference to prove.

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