For Ux1x2 6x113 x2 preferences are consistent with constan

For U(x₁,x₂) = 6x₁^1/3 + x₂, preferences are

consistent with constant marginal rate of substitution.

consistent with increasing marginal rate of substitution.

not consistent with a utility function.

consistent with diminishing marginal rate of substitution.

Solution

consistent with diminishing marginal rate of substitution.