1. (25 points) Enjoy the beauty of the simplex method. Let us solve the following linear programming
problem by the simplex method without tabular forms. (Please DO NOT use tabular forms to solve it.)

(c) (5 points) In (a), the current basis is composed of x3,x4,X5, X6. Suppose x1 enters the basis and x3
lcaves the basis. What is the dictionary at the next iteration? In other words, please complete the
followings.
