Let λ0 ¼ 200; n ¼ 2 (for concave decrease of the demand in
time), α ¼ 0:04; c ¼ 12; h ¼ 1, K ¼ 4000 and E ¼ 10. Thus,
θ ¼ 9:5; xmax ¼ 1 and πðxmax Þ ¼ 2375:5. The optimal solution is
xn ¼ 0:48, which leads to an optimal inventory policy of
T n ¼ 4:8; pn ¼ 53:65 and Q n ¼ 410 that yields π n ¼ 3133:3. Fig. 3
describes the profit and its derivative as a function of x.