Suppose we calculate the MRS at a particular bundle for a consumer whose utility function is U(q_{1}, q_{2}). If we use a positive monotonic transformation, F, to obtain a new utility function, V(q_{1}, q_{2}) = F(U(q_{1}, q_{2})), then this new utility function contains the same information about the consumer’s rankings of bundles. Prove that the MRS is the same as with the original utility function.