2. Zara is determining how many coats to order for this upcoming winter selling season. Zara forecasts the demand distribution for coats this upcoming winter to be the following. Demand (number of coats) Probability 100 0.2 150 0.1 200 0.2 250 0.1 0.1 0.3 300 350 Each coat costs Zara $100 to purchase wholesale and sells for $200 retail. At the end of the winter selling season, Zara may sell as many coats as it desires at a salvage value of $50 per coat. a. Suppose that Zara has purchased 250 coats, what is the marginal value from a 251st coat? Is it profitable for Zara to purchase its 251st coat? Justify your answer. b. Suppose that Zara has purchased 260 coats, what is the marginal value from a 261st coat? Is it profitable for Zara to purchase its 261st coat? Justify your answer. c. What is the optimal number of coats for Zara to purchase in order to maximize its average profit?
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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.Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
- 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.) ProbabilityProblem 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.)Camille forecasts to sell 575 units of the perfume she is selling by the first week of December. At the end of the 1st week of December, she was able to disposed 500 perfumes at Php150 each. Of these 500 units, she gave a total of 20 giveaways. The total cost for each perfume is Php120. Determine Camille’s net sales volume. *4802075500 Let’s say that last November you have sold 10,000 pieces of chrysanthemum at 25 pesos each. For every piece sold, you will be given a commission of 10%. How much was your total commission? *225,00025,00010,0002.50250,000
- Birka Styles & Co is introducing a new line of beachwear for their retail stores. The manager needs to decide how many lots of the new beachwear to order for their stores. The marketing came up with a payoff table (see below) considering information about the price, projected sales level, and cost of inventory and ordering. DEMAND Order size Low Medium High 1 lot 12,000 15,000 15,000 2 lots 9,000 25,000 35,000 3 lots 6,000 35,000 60,000 The owner wants to use the Hurwicz method and gave the manager a Hurwica alpha (α) of 0.6. How many lots should the manager order?Birka Styles & Co is introducing a new line of beachwear for their retail stores. The manager needs to decide how many lots of the new beachwear to order for their stores. The marketing came up with a payoff table (see below) considering information about the price, projected sales level, and cost of inventory and ordering. DEMAND Order size Low Medium High 1 lot 12,000 15,000 15,000 2 lots 9,000 25,000 35,000 3 lots 6,000 35,000 60,000 The owner found out that: P(Low demand) = 1/3; P(Med demand) = 1/2; P(High demand) = 1/6. Which of the following decision is NOT true? A)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform a Laplace approach. B)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform the EMV approach. C)The EVPI is $2,000. D)The EVwPI is $31,500.1. The demand for a product of Carolina Industries varies greatly from month to month. Based on the past three years of data, the following shows the monthly demand at Carolina Industries. Unit Demand # Months 300 6 400 8 500 12 600 10 A.If the company places monthly orders equal to the expected value of the monthly demand, what should Carolina’s monthly order quantity be for this product? B. What are the variance and the standard deviation for the number of units demanded?
- 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 $0.45 a copy. You sell a copy of San Pedro Times for $1.40. Daily demand is distributed normally with mean = 340 and standard deviation = 68. 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.) 8 Answer is complete but not entirely correct. Optimal order quantity 0.05 b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) * Answer is complete but not entirely correct. Probability 3 X %A retailer carries 10,000 items in its store. During the week, there is some demand for 6000 of the items. Among those, there are 100 products for which all of the demand was not satisfied and 400 products for which only some of demand was satisfied. a. What is their in-stock probability for this week?b. What is their stockout probability for this week?Becky Shelton, a teacher at kemp middle school is in charge of ordering the T-shirts to be sold for the school's annual fund-raising project the t-shirts are printed with a special kemp school logo. In some years the supply of T-shirts has been insufficient to satisfy the number of sales orders. In other years, T-shirts have been left over. excess T-shirts are normally donated to some charitable organization. T-shirts cost the school $7 each and are normally sold for $14 each. Ms Shelton has decided to order 790 shirts. Required 1) if the school receives actual sales orders for 715 shirts, what amount of profit will the school earn?what is the cost of waste due to excess inventory? 2) If the school receives actual sales orders for 830 shits, what amount of profit will the school earn? What amount of opportunity cost will the school incur? a) Profit $1,050 waste due to excess inventory b) Profit opportunity cost