Return to the LP of Exercise 7-11.

(a) Compute in both x and y space the next move direction that would be pursued by affine scaling Algorithm 7A.

(b) Verify that the x of part

(a) is both improving and feasible.

(c) Compute the step size l that Algorithm 7A would apply to your move directions in part (a).

(d) Plot the move of parts

(a) and

(c) in both original x-space and scaled y-space.