Question 1 [4 marks]. Prove that, for any possible pivot rule, if a particular variable ac is chosen as the leaving variable on iteration i of the Simplex Method, the same variable :1: will never be chosen as the entering variable on the next iteration (that is, iteration i. + 1). Your proof should be independent of the choice of pivot rule (so there should be no reason to refer to any particular pivot rule in your answer). Hint: Consider the structure of the dictionary before and after .7: leaves the basis