It ie the purpose of this paper to bring to the attention of the chemical engineerlng profession a recently developed mathematical technique, called " linear programming", which is exceedingly valuable ln solving certain Leneral problems connected with, in&r &a, the eillcient design of a chemical plant, and the discovery of an optimum production schedule which would maxim&e the pro&a of an enterprise. The general and more important features of linear progmmming will be dlscumed in the main body of this paper, while, in the Appendix, an illustrative problem of, it io hoped, general interest will be worked out numerically. R&nam~t article a et.4 &x%-pour attirer l'attention dea Ingdnieura du Genie Chimique w une technique math&natique rt!cemment developpee et app&e "linear programming," extremement p&&roe pour r&oudre certaina probli?mes g&u!raux relatif's, entre autres, B l'obtention dun projet e5icient d'une in&al&ion chimlque et B la decouverte d'un programme de production me;ximum qui porteraient B aon maximum lea proflta d'une entreprise. Dane le corps de cet article, lee auteum traitent des caract&lstiques g4n&ales les plus importantes du " linear programming," tandie qu'en appendlce ila &nIient numeriquement un exemple d'intiret