Optimization of the allowed levels of radioactive contamination on a virtual market of polluted provisions

The goal is to optimize the allowed levels of 137 Cs contamination of food products according to the ALARA principle. The model creates a virtual market of contaminated daily portions of various products, their contamination being distributed log normally with the same parameters as in real products. The consumer requests portions and wasters contaminated until one obtains 365 acceptable portions of every product per year. The cost of wastering is high at a low allowed level. The floating price of irradiation depends on the yearly consumption of 137 Cs and is stated very high when the last value approaches the dose limit (risk aversive function). Varying allowed levels, it is possible to minimize the cost of wastering and total cost of wastering and irradiation. The iterative algorithm is proposed