2(a). A manufacturer of small garden tools has introduced a new product, a battery powered shrub/hedge trimmer. The anticipated demand is normally distributed with a mean of μ = 100 and a standard deviation of σ = 50. Each unit costs $75 to manufacture and the introductory price is to be $125. Any unsold units at the end of the season are unlikely to be very valuable and will be disposed of in a fire sale for $25 each. It costs $10 to hold a unit in inventory for the entire season. What is the cost of overstocking? What is the cost of understocking? What is the optimal cycle service level? How many units should be manufactured for sale?
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2(a). A manufacturer of small garden tools has introduced a new product, a battery powered shrub/hedge trimmer. The anticipated demand is
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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.Green Thumb, a manufacturer of lawn care equipment has introduced a new product. Each unit cost $150 to manufacture, and the introductory price is to be $200. At this price, the anticipated demand is normally distributed, with a mean of 100 and a standard deviation of 40. Any unsold units at the end of the season are unlikely to be very valuable and will be disposed of in a fire sale for $50 each. It costs $20 to hold a unit in inventory for the entire season. How many units should Green Thumb manufacture for sale? What is the cycle service level (probability of not stocking out) associated with this policy? If the holding costs increase, how does this affect the optimal number of units to manufacturer and the cycle service level? *Note you can construct a graph if you preferGreen Thumb, a manufacturer of lawn care equipment has introduced a new product. Each unit cost $150 to manufacture, and the introductory price is to be $200. At this price, the anticipated demand is normally distributed, with a mean of 100 and a standard deviation of 40. Any unsold units at the end of the season are unlikely to be very valuable and will be disposed of in a fire sale for $50 each. It costs $20 to hold a unit in inventory for the entire season. If the manufacturing costs decrease, how does this affect the optimal number of units to manufacture and the cycle service level? *Note you can construct a graph if you prefer. What is the expected profit from this policy? (Using excel formulas from the text) On average, how many customers does Green Thumb expect to turn away because of stocking out? (hint: computed expected number of units that are understocked).
- A book and paper store distributes one specialized monthly magazine. When looking at the sales the last years, they have concluded that the demand for each issue of the magazine will be normally distributed with an expected sale of 250 and a standard deviation of 100. The purchase price for the magazine is $20. and the sales price is $50.The store has an agreement with a second -hand store that buys unsold magazines for $5 each. How many magazines should the store buy of each issue?Dan’s Independent Book Store is trying to decide on how many copies of a book to purchase at the start of the upcoming selling season. The book retails for $28.00. The publisher sells the book to Dan at $20.00. Dan can dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season. Dan estimates that demand for this book during the season is Normal with a mean of 1000 and a standard deviation of 250. Question 1: What is the quantity that Dan should order to maximize his expected profit?A company is planning to purchase 10,000 units of a particular item in the year ahead. The item is purchased in boxes each containing 10 units of the item, at a price of €400 per box. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 10% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of €7,000 were incurred on 25 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 5% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required: (a) Calculate the economic order quantity (EOQ) in boxes which minimises total costs (b) Outline when and why it is appropriate to use economic batch quantity (EBQ)
- Dan's Independent Book Store is trying to decide how many copies of a book to purchase at the start of the upcoming selling season. The book retails at $28.00. The publisher sells the book to Dan at $20.00. Dan will dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season. Dan estimates that demand for this book during the season is normal with a mean of 1000 and a standard deviation of 250. The publisher is thinking of offering the following scheme to Dan. At the end of the season, they will buy back unsold copies at a pre-determined price of $17.00. However, Dan would have to bear the costs of shipping unsold copies back to the publisher at $1.00 per copy. What is the quantity that Dan should order, to maximize his expected profits?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).Company ABC manufactures a seasonal product with uncertain demand. The production cost of the product is $130 per unit, and the product will be sold to the customers at $160 per unit. The demand of the product during a selling season is normally distributed with mean 1000 and standard deviation 300. At the end of the selling season, any unsold quantity can be disposed of in a clearance sale for $80 per unit. In order to reach the required standard imposed by an ethical and sustainable supplier certification program, ABC must improve its corporate social responsibility (CSR) performance. ABC is considering two possible investments that enable it to meet the required standard. These investments will lead to a higher CSR level, which will result in greater market demand. Investment 1 has a lump-sum cost of $2000, and it will increase the mean and standard deviation of the demand by 100 units and 20 units, respectively. Investment 2 has a lump-sum cost of $3000, and it will increase the…
- 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.) ProbabilityThe owner of a boat has estimated the following distribution of demand for a particular kind of boat. No. demanded o 1 2 3 Probability 0.10 0.20 0.30 0.40 Each boat costs him (c + d) rials and he sells them for (2 • c + 2 • d) rials each. Prices are given in hundreds rial units. Boats that are left unsold at the end of the season must be disposed off for (c + d – 2) rials each. How many should be stocked so as to maximize his expected profit?8. An acquaintance in marketing has requested your help in pricing the Spider Cider product for the launch. They tell you that for every day after the Spider Cider beverage is produced the company incurs a $3,650 fee to keep the unbottled beverage in vats, at 17.00°C, and the postponement of sales in stores. If Witch's Brew wants to make a minimum profit of $50,000, how much will each Spider Cider drink need to cost after choosing the bid with the lowest overall unit cost? (Hint: think of ALL the costs associated with the final beverage.) References: