Here we use the following notations:

• CSE — a center of sport or entertainment;
• AG — alternative groups of services;
• NG — a non-alternative such group.

     Given:

• investment amount, allocated for acquisition of services in CSE;
• one of two possible criteria of usefulness of service samples, which are selected for their acquisition:
  • utility ratio for a sample (relative criterion);
  • purchasing worth of a sample, that is equal to the product of its utility ratio by its cost (absolute criterion);
• a set of available for acquisition services, which are divided into several categories;
• for each such category are given the number of services, for each of them are set:
  • number of available for acquisition samples of a service;
  • name and description of a sample;
  • its cost;
• formed by investor (a client of CSE) several AG for services, selected by him, and one NG;
• for each chosen service is given a value of criterion of its sample usefulness;
• for each AG are set the minimum and maximum numbers of acquired samples of various services, included in this group;
• for each service of a single NG are set the minimum and maximum numbers of its acquired samples.

     Maximized quality criterion: total purchasing worth of acquired services under given restriction on the investment amount.