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ABSTRACTResearch on learning effects in mathematical programming models for optimum resource allocation has called attention to the difficulty in solving such models in their original nonlinear form. In this paper, systematically varying sizes of linear segments are designed to approximate productivity changes along the learning curve, and a single separable linear programming model is developed. With production complementarity and learning transmission between products, a more realistic resource allocation and production scheduling problem emerges. Two cases of learning transmissions are considered, and the model design process, which defines a decision problem that can be solved by a simplex algorithm, is demonstrated.

AbstractThis paper applies mathematical programming to cost‐volume‐profit (CVP) analysis under contribution margin uncertainty. Three CVP probabilistic chance‐constraint models based on various safety‐first criteria for decisions under uncertainty are presented and compared. It is shown that a break‐even segment of the mean‐standard deviation frontier is a set of optimal solutions for the proposed models. An operational parametric quadratic programming (QP) model is constructed, and the efficiency frontier is generated. The procedures for locating an optimal solution on the efficiency frontier are then presented. The recommended QP procedure offers both technical relief from the computational difficulties posed by the probabilistic constraints and a desired flexibility in generating and presenting the relevant information for decisions under uncertainty.

Essays on Language, Communication and Literature in Africa explores language choice questions, together with domain-driven lingua-communicative and literary resources situated within the discourses of law, culture, medicine, visual art, politics, the media, music and literature in Africa. It identifies the distinctive African paraphernalia of these discourses, and foregrounds their real-world and mediated cultural and societal values, and highlights the Western presence through the inclusion of aspects of Shakespearean perspectives which bear universal tidings and speak to the African gender tradition.The chapters' attention to verbal and visual artistic communicative mechanisms underlines such engagements as multilingualism policies, socio-political declension, social dynamism and cultural interventions that characterise the African setting. These realities are discussed in impressive detail, authoritative scholastic depth and effective stylistic tones that reflect the authors' familiarity with the facets of African societies deducible from language, communication and literature