Geodesic
Integral equation of the Volterra type: an application to a firm-sponsored off-the-job training
Mathematica Applicanda, Tome 44 (2016) no. 2, pp. 295-307 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

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This paper is concerned with deriving, using the Volterra integral equation, a production function for a single product firm financing off-the-job training from its revenue from output. The short-run scenario where labour is the only variable factor of production is studied within the ambit of the law of diminishing returns and the condition for profit-maximization. The study utilizes the Cobb-Douglas production function wherein capital is fixed as a theoretical underpinning. The results indicate that the production function of the firm is a transcendental function and that the proportion of output required to finance the training lies within an interval with a definite upper bound.
DOI : 10.14708/ma.v44i2.1229
Classification : 45D05, 91B38
Mots-clés : firm, production function, Volterra integral equation 
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Virtue U Ekhosuehi. Integral equation of the Volterra type: an application to a firm-sponsored off-the-job training. Mathematica Applicanda, Tome 44 (2016) no. 2, pp.  295-307. doi: 10.14708/ma.v44i2.1229

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