TASK 1 Consider an e-shop that sols consumer goods to the public and processes incoming customer orders in two stages: Stage 1: Order is received and confirmed at warehouse. Order is picked and packed. Stage 2: Invoice and shipping bil is prepared. Order is dispatched. The following figure is a stock and flow diagram of the order processing procedure: stage-1 wage 2 orders arrival rate stage-1 shipment rate orders The stocks "stage-1 orders and stage-2 orders are the number of currently processed orders in stage 1 and 2, respectively Arrival rate is the rate at which customer orders arrive at the e-shop. "Stage-1 exit rate is the rate at which stage 1 orders are forwarded to the next stage. "Shipment rate" is the rate at which processed orders are shipped to customers. Stage 1 and stage 2 are pipeline delays with delay times D.. 2 days and D. - 1 day. respectively. Initially, the arrival rate stage-1 extrate and shipment rate are equal to 0. Initially, both stocks stage-1 orders and stage-2 orders are equal to 0. The arrival rate" is equal to 25 orders/day for day t - 3, 4, 5, 6, 9, 10, 11, 12 and elsewhere (see figure below: orders/day 25 2 3 4 5 6 7 8 9 10 11 12 13 days Question 1.1 (15%) Calculate the "stage-1 exit rate" and the shipment rate" for day 0 to 15. Question 1.2 (15%) Calculate the net change rate for stocks "stage-1 orders" and "stage-2 orders" for day to 15. Question 1.3 (20 %) By means of graphical integration, calculate and plot the values of "stage-1 orders" and "stage-2 orders for day 0 to 15