This research work examined three problems: applicability of the linear programming method of allocating scarce resources to the allocation problems printing firms in Nigeria and its challenges; the use of the method to appropriately allocate scarce resources in the printing industry; and the determination of any other method of allocation used in the industry. To achieve these objectives, the researcher formulated the research hypotheses. Primary data were obtained through questionnaires, interviews, and direct observation of procedures. Secondary data were obtained from texts, journals and other unpublished works. The data obtained through questionnaires were analysed and interpreted using the percentage method. In order to test the hypotheses, the researcher used the Chisquare method of statistical analysis. Other data were tested using the linear programming methods (simplex and graphical). It was found out that linear programming is applicable to the allocation problems of a printing firm; that it can also be used to appropriately allocate their scarce resources for the achievement of optimality; that many printing firms prefer other methods tike mental judgement and the use of budgets for allocating their resources; and that many firms were not using such mathematical models because of in-exposure, and sheer unwillingness to change from the old method. It was recommended, among other things, that printing firms in Nigeria should adopt the use of linear programming method for resource allocation; that more academic institutions in the country should include Printing Technology in their curriculum; that the government should get involved in the regulation of printing standards in the country and that operators of printing houses should employ well-educated staff.