n7TipTop Snowboards in Beech Mountain, NC sell a popular snowboard during the winter ski season. The anticipateddemand is normally distributed with a mean of 731 units and standard deviation of 431 units. Tiptop purchases thesnowboard from the manufacturer for $217 and sells the snowboard for $395. Any unsold snowboards at the end of skiseason will be sold on clearance for $189. It costs $23 to hold a unit in inventory for the entire ski season.Quizut ofFinRound all entries to one decimal place (nearest tenth). Enter probabilities and percent changes as percentages roundedto nearest tenth of a percent (e.g. 0.7146 should be entered as 71.6%)a) Compute the optimal number of units that TipTop should order:units.b) Compute the probability of a stockout given the optimal order quantity, i.e. that demand exceeds the order quantity.c) Compute the optimal expected profit associated with the order quantity from part (a): $d) Given the optimal order quantity, how many units does TipTop expect to sell on clearance (on average)?units.Suppose that Tip Top's supplier is willing to offer a rush production and shipping option which will allow TipTop a secondorder opportunity. This will allow Tip Top to assess the winter ski season and order more snowboards if necessary oncethey observe the demand. However, to offset the cost of the flexible capacity investment, the supplier will charge $226for units ordered in the second order.units.e) Compute the optimal order quantity for the initial order:f) Compute the new optimal expected profit: $%.g) Compute the percent increase in profits for Tiptop if using the quick response option:

The anticipated demand is normally distributed with mean =731 units and standard deviation =431…

Answered: TipTop Snowboards in Beech Mountain, NC…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 35P: Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season....

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Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
Six months before its annual convention, the American Medical Association must determine how many rooms to reserve. At this time, the AMA can reserve rooms at a cost of 150 per room. The AMA believes the number of doctors attending the convention will be normally distributed with a mean of 5000 and a standard deviation of 1000. If the number of people attending the convention exceeds the number of rooms reserved, extra rooms must be reserved at a cost of 250 per room. a. Use simulation with @RISK to determine the number of rooms that should be reserved to minimize the expected cost to the AMA. Try possible values from 4100 to 4900 in increments of 100. b. Redo part a for the case where the number attending has a triangular distribution with minimum value 2000, maximum value 7000, and most likely value 5000. Does this change the substantive results from part a?
The annual demand for Prizdol, a prescription drug manufactured and marketed by the NuFeel Company, is normally distributed with mean 50,000 and standard deviation 12,000. Assume that demand during each of the next 10 years is an independent random number from this distribution. NuFeel needs to determine how large a Prizdol plant to build to maximize its expected profit over the next 10 years. If the company builds a plant that can produce x units of Prizdol per year, it will cost 16 for each of these x units. NuFeel will produce only the amount demanded each year, and each unit of Prizdol produced will sell for 3.70. Each unit of Prizdol produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. a. Among the capacity levels of 30,000, 35,000, 40,000, 45,000, 50,000, 55,000, and 60,000 units per year, which level maximizes expected profit? Use simulation to answer this question. b. Using the capacity from your answer to part a, NuFeel can be 95% certain that actual profit for the 10-year period will be between what two values?
The retail price of a Mother’s Day cake in San Ramon Safeway is $30.00. A local bakery sells the cakes to the Safeway at $20.00. The Safeway will dispose of all of the unsold cakes at 50% off the retail price, at the end of the Mother’s Day weekend. The manager in Safeway estimates that demand for this cake during the Mother’s Day weekend is Normal Distribution with a mean of 100 cakes and a standard deviation of 50 cakes. (1) How many cakes should San Ramon Safeway order from the bakery? (2) If the store manager learned a new forecast method in a class that would reduce the standard deviation of estimated demand from 50 to 25 (mean remains 100), how many cakes should San Ramon Safeway order from the local bakery?
Topgun Records and several movie studios have decided to sign a revenue-sharing contract for CDs. Each CD costs the studio $2 to produce. The CD will be sold to Topgun for $3. Topgun, in turn, prices a CD at $15 and forecasts demand to be normally distributed, with a mean of 5,000 and a standard deviation of 2,000. Any unsold CDs are discounted to $1, and all sell at this price. Topgun will share 35 percent of the revenue with the studio, keeping 65 percent for itself. How many CDs should Topgun order? How many CDs does Topgun expect to sell at a discount? What is the profit that Topgun expects to make? What is the profit that the studio expects to make? Repeat parts (a)–(d) if the studio sells the CD for $2 (instead of $3) but gets 43 percent of revenue.
A hot dog vendor at Wrigley Field sells hot dogs for$1.50 each. He buys them for $1.20 each. All the hot dogshe fails to sell at Wrigley Field during the afternoon can besold that evening at Comiskey Park for $1 each. The dailydemand for hot dogs at Wrigley Field is normally distributedwith a mean of 40 and a standard deviation of 10.a If the vendor buys hot dogs once a day, how manyshould he buy?b If he buys 52 hot dogs, what is the probability that hewill meet all of the day’s demand for hot dogs at Wrigley?
Good Shoes Company manufactures ski boots for children each pair of which costs $40 to manufacture. Good Shoes sells the boots to a well-known sports goods retailer and the retailer sells each pair for $100. Any boots not sold (by the retailer) during the season are sold to a discount retailer for $20 a pair. Demand during the season is assumed to have a Normal distribution with a mean of 850 and a standard deviation of 350. What should the manufacturer charge the retailer per pair to maximize its expected profits? Assume that Good Shoes will consider a price from the following set: (60,65,70,75,80,85 90,95), i.e., The manufacturer's price will be either $60, or $65 or $70, or ......,,$95).
The manager of a fish market pays 80 cents each The manager of a fish market pays 80 cents each for cod and sells them for $1.50 each. Fish left over at the end of the day are discarded. The daily demand can be approximated by a normal distribution having a mean of 300 and a standard deviation of 50. To maximize his expected profit, how many cod should the manager buy before the market opens each day? The manager of a fish market pays 80 cents each
Magdeleine James is a sole trader, who sells souvenir T-shirts. She wishes to sell her T-shirts at the Tobago Jazz festival. Each t-shirt cost $165 to produce and sells for $225. After the festival, she reduces the sale price of the T-shirts by 70% in order to sell them off. Experience from previous years has shown that the demand for these T-shirts at the festival is 82, with a standard deviation of 21. How many T-shirts should Magdeleine take to sell at the festival?
A company needs to order raw material and demand is forecast to be normally distributed with a mean of 250 gallons and standard deviation of 100 gallons. One gallon of raw material produces one gallon of product and the product sells for $25/gallon. Raw material costs $10/gallon but the company must also spend $5/gallon for disposal of any UNUSED raw material. If demand is higher than production capacity, the company sells what it can make and loses the rest of demand. a) If they buy 400 gallons of raw material, how much should they expect to spend on disposal costs (in $)? b) To have a 92% probability of satisfying demand, how many gallons of raw material should be bought?
Target is considering opening mini-Target stores in airports across the United States. Target knows that 25% of the items in its store account for 70% of the store's sales and expects that this Pareto relationship will hold for the mini-Target stores. The mini-Targets will each carry 50 items, but it's unknown at this point which 50 items will be stocked. The annual sales of a mini-Target is forecasted to be $500,000. Assume A items are top 20% of items sold, B items are the next 30% and C items are the bottom 50% of items sold. Turnover is expected to be for A items = 50, B items = 40 and C items = 10. 1. The top 20% of items in the min-Target store will account for what percent of sales? - 42.9% - 56.2% - 68.7% - 63.6% 2. What is the annual item sales expected to be for the 25th best selling product in the mini-Target store? - $113 - $4,510 - $437,500 - $76,350

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