The demand for a product of a monopolistic company evolves according to a linear function of a form:

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yd (t) = a(t)p(t) + b(t), a(t), b(t) > 0, A function of production total cost is given as ko (ys (t)) = y(t)ys (t) + 8 (t), y (t), 8(t) > 0, Vt 0, 1, ..., 20. Vt = 0, 1,..., 20. 1. Solve the profit maximization problem determining the optimal supply and an optimal price level by the following assumptions: