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Workshop 4

Clothing company producing children's dresses and suits, sells its products through the company store. Sales of products depends on the weather conditions. According to previous observations, the company in April - May, warm weather conditions can realize as suits and dresses b in average statistical weather conditions with suits and dresses d and in cool weather - f g suits and dresses. It is known that the cost per unit of output during these months to make costumes N rub., For dresses K rubles. And the selling price is equal to the Z1 rubles respectively. and Z2 rubles. (Figures conditioned).

a) The objective is to maximize the average value of profits from the sale of output in the face of uncertainty of weather in the months under consideration. Managers of enterprises have in these conditions to determine the optimal strategy for the enterprise, providing in any weather a certain income.

Determine which strategies are preferred for the criteria:

maximax criterion; maximin criterion Wald; Savage minimax criterion; generalized maximin criterion (pessimistic - optimistic) Hurwitz (k = 0,5).

b) determine which strategy is preferred in terms of risk. Probability forecast: warm - 0.35; the average statistical - 0.5; cool - 0.15 = 0.5.

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