Center City Cake Shoppe knows that for their signature (and expensive) birthday cake, the daily demand has the following distribution: Demand Probability 0.10 0.15 0.25 0.25 9 0.15 10 0.10 Center City Cake Shoppe prepares their cake in advance of customers coming in. In order to maintain a service level of 90%, they should have an inventory-on-hand equal to cakes. 0 8 6. O 10
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- 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).Your firm uses a periodic review system for all SKUS classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUS classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item's current characteristics are: Demand (D) = 15,080 units/year Ordering cost (S) = $125.00/order Holding cost (H) = $3.00/unit/year Lead time (L) = 5 weeks Cycle service level = 95 percent Demand is normally distributed, with a standard deviation of weekly demand of 64 units. 1- How do you think each system can affect your procurement procedures/methods?Your firm uses a periodic review system for all SKUS classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUS classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item's current characteristics are: Demand (D) = 15,080 units/year Ordering cost (S) = $125.00/order Holding cost (H) = $3.00/unit/year Lead time (L) = 5 weeks Cycle service level = 95 percent Demand is normally distributed, with a standard deviation of weekly demand of 64 units. -Calculate the item's EOQ. - Use the EOQ to define the parameters of an appropriate continuous review and periodie review system for this item. -Which system requires more safety stock and by how much? -How do you think each system can affect your procurement procedures/methods?
- Your firm uses a periodic review system for all SKUs classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUs classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item’s current characteristics are:Demand 1D2 = 15,080 units/yearOrdering cost 1S2 = $125.00/orderHolding cost 1H2 = $3.00/unit/yearLead time 1L2 = 5 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 64 units.a. Calculate the item’s EOQ.b. Use the EOQ to define the parameters of an appropriate continuous review and periodic review system for this item.c. Which system requires more safety stock and by how much?33) please please help me with this Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of 28 customers (with a standard deviation of 14) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $122. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-trip ticket averages $228. Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost. By how many seats should Super Discount overbook the flight? Note: Use Excel's NORM.S.INV function to find the z value. Round z value to 2 decimal places. Round your answer to the nearest whole number.Problem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.30 a copy. You sell a copy of San Pedro Times for $1.10. Daily demand is distributed normally with mean = 265 and standard deviation = 53. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) Optimal order quantity b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) Probability
- Franklin Tooling, Inc., manufactures specialty tooling for firms in the paper-making industry. All of their products are engineer-to-order and so the company never knows exactly what components to purchase for a tool until a customer places an order. However, the company believes that weekly demand for a few components is fairly stable. Component 135.AG is one such item. The last 26 weeks of historical use of component 135.AG is recorded below. Week Demand Week Demand 1 2 3 4 5 6 7 8 9 10 11 12 13 137 136 143 136 141 128 149 136 134 142 125 134 118 14 15 16 17 18 19 20 21 22 23 24 25 26 131 132 124 121 127 118 120 115 106 120 113 121 119 Use OM Explorer’s Time Series Forecasting Solver to evaluate the following forecasting methods. Start error measurement in the fifth week, so all methods are evaluated over the same time interval. Use the default settings for initial forecasts.i. Naïve (1-Period Moving Average)ii. 3-Period Moving Averageiii. Exponential Smoothing,…Problem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.50 a copy. You sell a copy of San Pedro Times for $1.25. Daily demand is distributed normally with mean = 335 and standard deviation = 67. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.)Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of 25 customers (with a standard deviation of 13) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $135. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-trip ticket averages $218. Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost. By how many seats should Super Discount overbook the flight? Use Excel's NORM.S.INV() function to find the z value.
- A company had an average inventory last year of $204,000 and its inventory turnover was 6. If sales volume and unit cost remain the same this year as last and inventory turnover is 8 this year, what will average inventory have to be during the current year?A restaurant uses 40 jars of a special sauce each week. The manager is willing to accept no more than a 0.62% risk of stockout. Average lead time is 3 weeks with a standard deviation of 0.5 weeks. Assume the distribution of usage is normal. Determine the value of z. Group of answer choicesGiven this frequency distribution, what demand values would be associated with the following random numbers? (Do not round intermediate calculations.) Demand Frequency 16 1 10 2 28 3 46 Random Number Simulated Demand 0.1 0.5 0.9 1.