SIMULATION OPERATIONS RESEARCH Question 2 Customers arrive at an automatic teller machine (ATM) to withdraw cash. Statistical analysis of past data shows that the amounts withdrawn per day range between R1200 and R5300 per customer with the following frequencies: Amount per Frequency (number of customers withdrawal per day) R1200 8 R2400 20 R3500 12 R4700 R5300 7 3 (2.1) Suppose the initial amount of cash available at the ATM on a certain day is R65000. Can the bank expect a shortfall of cash at the ATM on that day? (6) (2.2) Simulate cash withdrawal at the ATM for the first 20 customers of the day and find the remaining amount of cash at the ATM given that the initial amount for the day is R65000. Use the following U[0,1)-random numbers: = U =0.52; U = 0.79; Us = 0.57; U4 = 0.83; U = 0.65; U6 =0.28; U=0.36; Us 0.74; U9 0.18; U10 = 0.29; U11 = 0.10; U12 0.05; U13 0.87; U14 = 0.96; U15 0.39; U16 =0.75; U17 0.15; U18 0.27; U19 ===> =0.63; U20 = = = = 0.81. (10)