A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer’s order will not be met during a month? (This situation is referred to as a stockout.)
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A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a
month. The average demand for carpet from the stores that purchase from the distributor is 4,500
yards per month, with a standard deviation of 900 yards. What is the probability that a customer’s
order will not be met during a month? (This situation is referred to as a stockout.)
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Use @RISK to analyze the sweatshirt situation in Problem 14 of the previous section. Do this for the discrete distributions given in the problem. Then do it for normal distributions. For the normal case, assume that the regular demand is normally distributed with mean 9800 and standard deviation 1300 and that the demand at the reduced price is normally distributed with mean 3800 and standard deviation 1400.A company has supplied the following data with respect to its three different types of fertilizers: FERTILIZER ANNUAL DEMAND AVERAGE INVENTORY COST PER SACK SACKS SACKS € 10-10-10 30000 5000 18 16-16-16 20000 3000 15 20-10-5 10000 2000 20 Calculate (assuming 50 sales weeks annually): a) the inventory turnover and weeks of supply for each fertilizer b) the average inventory turnover and average weeks of supply
- “As soon as the customer places an Order, it is received by the Sales department and a Sales Order is created. The Sales Order is sent to the Finance Department to check if the customer has any outstanding balance for more than 60 days. The AR Clerk at the Finance Department checks and sends the results back to the Sales Department. If there is an outstanding balance for more than 60 days, the Sales Department puts the Order on hold and notifies the customer. Otherwise, the Order Entry Clerk creates an Order Confirmation and sends it to the customer. Simultaneously a Picking List is generated and sent to the Order Fulfilment Department who picks up the next set of process steps. The Order Fulfilment Department receives the Picking List and determines which Warehouse is closest to the Customer location. The Picking List is sent to that Warehouse location. There, the items from the Picking List are picked. An Invoice is generated and printed. The items are packed along with the printed…Why distribution range negative infinity to positive infinity is transformed to zero to positive infinity? ( probability distribution)The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Orders 145 70 115 85 120 54 82 141 123 94 Compute the…
- The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Orders: 1230 1155 1263 1159 1361 1273 1147 1250 1356 1155 Create tables to support your answer: a. Compute the monthly…The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Orders 145 70 115 85 120 54 82 141 123 94 Compute the…You have been asked to help a manufacturing firm that produces a variety of specialty components for local auto speed shops. The firm orders a number of components from suppliers, but the one they have asked you to analyze is special welding rod. Historical data suggests daily consumption of these rods can be modeled by a normal distribution with a mean and standard deviation of 42.3 and 5.1 bolts per day, respectively. The rods come in boxes of 5 rods/box, and the supplier will only ship in box quantities. It takes 2 days to receive an order from the supplier. You may assume that the daily demands are independent and identically distributed, and that inventory position is always known (i.e., continuous review). 1. The current policy is the order thirty boxes from the supplier when inventory position reaches ten boxes. What is the long run fraction of stock outs associated with the current strategy? 2. Assume the cost to place an order is $5 and holding is estimated to be…
- A warehouse manager at Mary Beth Marrs Corp. needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product, along with the cumulative distribution, appear in the table. Demand During Lead Time Cumulaive Probability Probability 120 0.01 0.01 140 0.12 0.13 160 0.35 0.48 180 0.20 0.68 200 0.04 0.72 220 0.08 0.80 240 0.20 1.00 The following random numbers have been generated: 9, 78, 40, 41, and 99. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilty distribution, for the given random number the demand during the lead time is: Random Number 9 78 40 41 99 Demand The average demand during the lead time is (enter your response as an integer). The total demand during the lead time based on the five simulations is (enter your response as an integer).Nyka cosmetics is planning to launch cosmetics in teen group caterigary. However,this market is crowded with a lot of competitors already Before the launch , nykaa cosmetics is trying to estimate the potential of thier cosmetics in the market by understanding the following for the next 2 years .The proportion of current cosmetics users( in teen category)who are going to switch to nykaa cosmetics. The source of business of nykaa cosmetics is the percentage of people who would use nykaa cosmetics in 2021 who once used each of the competitors for example 40% of the nykaa cosmetic users in 2021 used to use competitor 1 in 2019 In the next years ,30% of cosmetic users in teen category will switch to nykaa cosmetics .what will be the market share graph for 2021 including the 5 competitors25. Billy’s Bakery bakes fresh bagels each morning. The daily demand for bagels is a random variable with a distribution estimated from prior experience given by # of bagels sold in one day probability 0 .05 5 .10 10 .10 15 .20 20 .25 25 .15 30 .10 35 .05 The bagels cost Billy’s 8 cents to make, and they are sold for 35 cents each. Bagels unsold at the end of the day are purchased by a nearby charity soup kitchen for 3 cents each a) Based on the discrete distribution above, how many bagels should Billy’s bake at the start of each day? b) Determine the optimal number of bagels to bake each day using a normal distribution approximation. (Hint: You must compute the mean and the variance of the demand from the discrete distribution above.)26. Weiss’s paint store uses a reorder point inventory system to control its stock levels. For a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard…