2. (30 points) The forecasted demand D(t), fixed ordering cost K'(t), unit variable cost e(t), and inventory holding cost per unit per week h(t) of an item are as follows. Week (t) | D(t) | K(t) | c(t) | h(t) 1 25 30 2 50 70 30 50 15 40 20 30 Shortages are not allowed. Initial and final inventory levels are zero. Determine the optimal timing and quantities of replenishment orders for this item using the dynamic programming algorithm