We shall in this chapter endeavour to synthesize Sir Roy Harrod’s aggregative growth theory1 and Professor W. W. Leontief’s multi­ sectoral technique2 in such a way as to build linear programming models of optimal growth. Specifically the first section of this chapter will discuss what might be called the ‘Harrod matrix’ in the light of Leontief’s multisectoral methodology, while the second section will discuss linear programming problems of multisectoral optimal growth on appropriate assumptions about parameters and constraints, and in the perspective of the preceding section.