SIMULATION Question 18 (6.0 points) Consider a waiting line problem with one server. - The interarrival time is 3 minutes for each customer. - The service time has the following distribution: \begin{tabular}{|c|c|c|} \hline ServiceTime & Probability & \\ \hline 2 & 0.10 & \\ \hline 3 & 0.30 & \\ \hline 4 & 0.50 & \\ \hline 5 & 0.10 & \\ \hline \end{tabular} To determine the service times for 3 customers, use the following random numbers: Given the interarrival time and service time information, simulate this waiting line problem for 3 customers by manual calculations. Show the values in the table below. You can, but you do not need to write equations. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{3}{|c|}{ CUSTOMER ARRIVALS } & \multicolumn{6}{|c|}{ SERICE } \\ \hline Customer & InterarrivalTime & ArrivalTime & StartTime & WaitTime & RandomNumber & ServiceTime & CompletionTime & TimeInService & ServerIdleTime \\ \hline 1 & & & & & 44 & & & & \\ \hline 2 & & & & & 85 & & & & \\ \hline 3 & & & & & 8 & & & & \\ \hline \end{tabular} How many customers waited before starting service? SIMULATION Question 19 (6.0 points) Skinner's Fish Market buys fresh Boston bluefish daily for $5.00 per pound and sells it for for $8.00 per pound. At the end of business each day, any remaining bluefish is sold to a producer of cat food for $2.00 per pound. The shortage cost is equal to the profit foregone. The daily demand for the bluefish, although uncertain, is estimated to be as follows: \begin{tabular}{|c|c|c|} \hline DailyDemand & Probabilit & RNA \\ \hline 40 & 0.30 & \\ \hline 50 & 0.40 & \\ \hline 60 & 0.20 & \\ \hline 70 & 0.10 & \\ \hline \end{tabular} Answer the following questions for this single-period inventory problem. (a) Consider a day for which the company ordered 50 pounds of bluefish and the demand on that day was 60 pounds. What is the total profit on that day? (b) The company wants to simulate ordering 50 pounds of bluefish each day. Using the table below, simulate this policy for 3 days by manual calculations using the following random numbers to determine the daily demand. You can, but you do not need to write equations. 752538 Show the simulation values in the table below. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Day & RandomNumber & Demand & Sold & SalesRevenue & PurchaseCost & Loss(shortage) & Salvage & SundayProfit \\ \hline 1 & 75 & & & & & & & \\ \hline 2 & 25 & & & & & & & \\ \hline 3 & 38 & & & & & & & \\ \hline \end{tabular} What is the average profit