Exam 12: Introduction to Simulation Using Analytic Solver Platform

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What function should be used for generating random numbers from a normal distribution with mean μ and standard deviation σ?

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The benefits)of simulation discussed in the text is/are

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Which of the following probability distributions are associated with discrete outcomes?

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Exhibit 12.4. The following questions use the information below. The manager of a Washington,DC sightseeing tour company is concerned about overbooking for one of his bus tours.The bus has 15 seats but sometimes there are empty seats.His records show that about 20% of ticket holders do not show up for their tour.Tickets cost $10 and are non-refundable.If the manager overbooks the tour and more than 15 passengers show up,some of them will be bumped to a later tour.This bumping costs the company $25 in various expenses to keep the customer happy until the next tour.The manager wants to see what happens to profits if 18 reservations are accepted. Exhibit 12.4. The following questions use the information below. The manager of a Washington,DC sightseeing tour company is concerned about overbooking for one of his bus tours.The bus has 15 seats but sometimes there are empty seats.His records show that about 20% of ticket holders do not show up for their tour.Tickets cost $10 and are non-refundable.If the manager overbooks the tour and more than 15 passengers show up,some of them will be bumped to a later tour.This bumping costs the company $25 in various expenses to keep the customer happy until the next tour.The manager wants to see what happens to profits if 18 reservations are accepted.    -Using the information in Exhibit 12.4,what formula should go in cell C13 of the worksheet to determine the Opportunity Cost of Empty Seats? -Using the information in Exhibit 12.4,what formula should go in cell C13 of the worksheet to determine the Opportunity Cost of Empty Seats?

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Common continuous distributions available in Analytic Solver Platform are

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University Florists makes bouquets from a variety of materials.The Daily Special Bouquet is priced at $20.The florist assembles this bouquet each day from a variety of low cost flowers he buys from his flower supplier.The actual cost of flowers ranges uniformly from $2 to $7,with all intermediate values being equally likely.The florist who studied management science many years ago)knows that the time to assemble a bouquet is normally distributed with a mean time of 5 minutes and standard deviation of 1 minute.This will be the time required for all of the Daily Special Bouquets for that day.The florist values his labor time at $10 per hour.Sales are normally distributed with a mean of 10 bouquets per day with a standard deviation of 1 bouquet.What formulas should go in cells B8:B14 to simulate daily profits for the store? A B E 1 Initial Conditions: 2 Sales Price \ 20 Constant 3 Number of Bouquets: Average 10 Std dev 1 Normal 4 Cost of Flowers Lo \ 2 \ 7 Cont. Uniform 5 Labor Time Average 5 Std dev 1 Normal 6 Labor Cost \ 10 Constant 7 8 Cost of Flowers \ 4.41 9 Labor Time Min) 2.55 10 Labor Cost \ 0.43 11 Total Cost 4.83 12 Profit/Bouquet \ 15.17 13 \# Bouquets Sold 12.20 14 Total Profit \ 184.99

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Uncertainty

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The average demand is 4.45 cases per day.Using the information in Exhibit 12.3,what formula should go in cell H4 to determine the average lost sales?

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A variable whose value cannot be predicted or set with certainty is a

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Best case analysis is an)view of the problem.

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What function should be used for generating random numbers from a normal distribution with mean μ and standard deviation σ between the values of a and b only?

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What function should be used for generating random numbers between 1 and 12 from a continuous uniform distribution?

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What function should be used for generating random integer numbers between 2 and 8?

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Inventory position is defined as

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Exhibit 12.3 The following questions use the information below. An auto parts store wants to simulate its inventory system for engine oil.The company has collected data on the shipping time for oil and the daily demand for cases of oil.A case of oil generates a $10 profit.Customers can buy oil at any auto parts store so there are no backorders the company loses the sale and profit).The company orders 30 cases whenever the inventory position falls below the reorder point of 15 cases.Orders are placed at the beginning of the day and delivered at the beginning of the day so the oil is available on the arrival day.An average service level of 99% is desired.The following spreadsheets have been developed for this problem.The company has simulated 2 weeks of operation for their inventory system.The current level of on-hand inventory is 25 units and no orders are pending. 1  Exhibit 12.3 The following questions use the information below. An auto parts store wants to simulate its inventory system for engine oil.The company has collected data on the shipping time for oil and the daily demand for cases of oil.A case of oil generates a $10 profit.Customers can buy oil at any auto parts store so there are no backorders the company loses the sale and profit).The company orders 30 cases whenever the inventory position falls below the reorder point of 15 cases.Orders are placed at the beginning of the day and delivered at the beginning of the day so the oil is available on the arrival day.An average service level of 99% is desired.The following spreadsheets have been developed for this problem.The company has simulated 2 weeks of operation for their inventory system.The current level of on-hand inventory is 25 units and no orders are pending.   \begin{array} { | l | l | l | l | l | l | l | l | }  \hline & \mathbf { A } & \mathbf { B } & \mathbf { C } & \mathbf { D } & \mathbf { E } & \mathbf { F } & \mathbf { G } \\ \hline 1 & & & & & & & \\ \hline \end{array}    -Using the information in Exhibit 12.3,what formula should go in cell C9 and copied to C10:C21 of the MODEL sheet to compute units received? -Using the information in Exhibit 12.3,what formula should go in cell C9 and copied to C10:C21 of the MODEL sheet to compute units received?

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What function should be used for generating random numbers between a and b from a symmetric triangular distribution when the most likely value is a + b)/2?

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Exhibit 12.5 The following questions use the information below. The owner of Sal's Italian Restaurant wants to study the growth of his business using simulation.He is interested in simulating the number of customers and the amount ordered by customers each month.He currently serves 1000 customers per month and feels this can vary uniformly between a decrease of as much as 5% and an increase of up to 9%.The bill for each customer is a normally distributed random variable with a mean of $20 and a standard deviation of $5.The average order has been increasing steadily over the years and the owner expects the mean order will increase by 2% per month.You have created the following spreadsheet to simulate the problem. -Sal,from Exhibit 12.5,has produced the following spreadsheet to compute confidence intervals on his income.What formula should go in cell B8 to compute the upper limit on a 95% confidence interval for the true population mean? A 1 2 Sample Size: 300 3 4 Sample Mean 309,773.5 6 5 Sample StandardDeviation 33,831.4 4 6 7 95\% LCL for the population mean: 305,945.1 7 8 95\% UCL for the population mean: 313,601.9 5 9 10 Target Proportion 0.900 11 95\% Lower Confidence Limit: 0.866 12 95\% Upper Confidence Limit: 0.934

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Methods for analyzing risk that are discussed in the textbook include

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If chance or uncertainty is present in a system then there is an element of in the decision-making problem.

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Exhibit 12.3 The following questions use the information below. An auto parts store wants to simulate its inventory system for engine oil.The company has collected data on the shipping time for oil and the daily demand for cases of oil.A case of oil generates a $10 profit.Customers can buy oil at any auto parts store so there are no backorders the company loses the sale and profit).The company orders 30 cases whenever the inventory position falls below the reorder point of 15 cases.Orders are placed at the beginning of the day and delivered at the beginning of the day so the oil is available on the arrival day.An average service level of 99% is desired.The following spreadsheets have been developed for this problem.The company has simulated 2 weeks of operation for their inventory system.The current level of on-hand inventory is 25 units and no orders are pending. 1  Exhibit 12.3 The following questions use the information below. An auto parts store wants to simulate its inventory system for engine oil.The company has collected data on the shipping time for oil and the daily demand for cases of oil.A case of oil generates a $10 profit.Customers can buy oil at any auto parts store so there are no backorders the company loses the sale and profit).The company orders 30 cases whenever the inventory position falls below the reorder point of 15 cases.Orders are placed at the beginning of the day and delivered at the beginning of the day so the oil is available on the arrival day.An average service level of 99% is desired.The following spreadsheets have been developed for this problem.The company has simulated 2 weeks of operation for their inventory system.The current level of on-hand inventory is 25 units and no orders are pending.   \begin{array} { | l | l | l | l | l | l | l | l | }  \hline & \mathbf { A } & \mathbf { B } & \mathbf { C } & \mathbf { D } & \mathbf { E } & \mathbf { F } & \mathbf { G } \\ \hline 1 & & & & & & & \\ \hline \end{array}    -Using the information in Exhibit 12.3,what Analytic Solver Platform function should be used in cell I8 to determine the lead time for an order? -Using the information in Exhibit 12.3,what Analytic Solver Platform function should be used in cell I8 to determine the lead time for an order?

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