The paper represents an immediate continuation of part I [1], where the independent twofold one parametric linear programming problem was treated. The author deals with a linear programming problem with as objective function as capacity rector depending each on one parameter. Both parameters may depend too in a fixed manner. This depe~ldenoe can be considered as tt curve being contained in parameter space. One resolves the problem using t'he corresponding independent problem in forming the intersections of the curve with t,he rectangles resulting as solution of the independent problem. There are obtained again maximal regions for respectively one system of basic variables, yielding the corresponding solution of such a region. The author gives two procedures for solving the problem and three examples illustrating various cases of dependence.