The article deals with the problems of the modelling approach towards the dependence of the growth of the company’s market value on maximisation of its volume of sales. The company’s production should be intensified under the condition that the company’s profit remains at least at the minimum level. The optimisation calculations carried out with the use of complex mathematical tools lead to the creation of the model of sales maximisation. Solving this model is equivalent to defining the volume of production that enables to create the company’s value as a strategic aim.
A method of solving problems involving invex functions via certain convex problems is presented. Nonsmooth problems are also considered. A definition of such a Fenchel-Young type duality for an invex function f that its second dual is equal to f is provided.
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