Director of legal services of ABC Company must decide whether to hire another full-time lawyer or to hire part-time lawyers. Anticipated costs for the two options under three possible demand levels are given in the table below: States of Nature Medium High Demand Demand Demand Low Alternatives Hire full-time $460 $380 $430 Hire part- $560 $500 $770 time Probabilities 0.25 0.25 0.5 What is the EMV of the best decision? Specify only the amount. e.g. 350 Answer:
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- Dorothy’s pastries are freshly baked and sold at several spe-cialty shops throughout Perth. When they are a day old, theymust be sold at reduced prices. Daily demand is distributedas follows:Demand Probability50 0.25150 0.50200 0.25Each pastry sells for $1.00 and costs $0.60 to make. Each onenot sold at the end of the day can be sold the next day for$0.30 as day-old merchandise. How many pastries should bebaked each day?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.)Demand for portable music players for joggers has caused Nancy Industries (Nancy) to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nancy expects demand for music player to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demands for the players for last year was as follows : Month Demand (units) Jan 4200 Feb 4300 Mar 4000 Apr 4400 May 5000 Jun 4700 Jul 5300 Aug 4900 Sep 5400 Oct 5700 Nov 6300 Dec 6000 Question : From the choice of simple moving average, weighted moving average, exponential smoothing, and linear regression analysis, which forecasting technique would you consider the most accurate to Nancy Industries? Why?
- 1. Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, "That's life." On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolate-covered shrimp in some boxes so that "You never know what you'll get." Quarterly demand (in boxes of chocolates) for the last three years is shown in the table below: b. If the expected sales for chocolates are 14,400 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. (Round all intermediate calculations to two decimal places.) The first quarter forecast is what? boxes of chocolates. (Enter your response rounded to the nearest whole number.)Downtown Health Clinic needs to order influenza vaccinesfor the next flu season. The Clinic charges its patients $15.00per vaccination and each dose of vaccine costs the clinic$4.00 to purchase. The Center for Disease Control has a longstanding policy of buying back unused vaccines for $1.00 perdose. The Clinic estimates the following probability distribu-tion for the season’s demand:Demand Probability2,000 0.053,000 0.204,000 0.255,000 0.406,000 0.10 a. How many vaccines should the Clinic order to maximizeits expected profit?b. The Clinic is trying to determine if they should participatein a new Federal program in which the cost of each dose isreduced to $2.00. However, to participate in the program,they can charge no more than $10.00 per vaccine. Onstrictly a profit maximizing basis, should the Clinic agreeto participate?Famous Albert prides himself on being the Cookie King of the West. Small, freshly baked cookies are the specialty of his shop. Famous Albert has asked for help to determine the number of cookies he should make each day. From an analysis of past demand, he estimates demand for cookies as DEMAND PROBABILITY OF DEMAND 1,800 dozen 0.05 2,000 0.10 2,200 0.20 2,400 0.30 2,600 0.20 2,800 0.10 3,000 0.05 Each dozen sells for $0.69 and costs $0.49, which includes handling and transportation. Cookies that are not sold at the end of the day are reduced to $0.29 and sold the following day as day-old merchandise. Compute the expected profit or loss for each cookie making decision quantity. (Round your answers to the nearest whole number. Enter expected losses with a negative sign) Based on your answers to part a., what is the optimal number of cookies to make? By using marginal analysis, what is the optimal number of cookies to make?
- Leah Johnson, director of Urgent Care of Brookline, wants to increase capacity to provide low-cost flu shots but must decide whether to do so by hiring another full-time nurse or by using part-time nurses. The table below shows the expected costs of the two options for three possible demand levels: States of Nature (demand) Alternatives Low Medium High Hire full−time $320 $480 $700 Hire part−time $0 $340 $800 Probabilities 0.20 0.55 0.25 Part 2 a) The alternative with the least expected cost is ▼ a. Hire full-time b. Hire part-time The expected price of this alternative is $_______ (enter your answer as a whole number). Part 4 b) The appropriate decision tree for Leah Johnson is presented in Figure____?Demand for stereo headphones and music players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) January 4,150 February 4,250 March 3,950 April 4,350 May 4,950 June 4,650 July 5,250 August 4,850 September 5,350 October 5,650 November 6,250 December 5,950 a. Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.8. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. To be reasonably confident of meeting demand, Nina decides to use 3 standard errors of estimate for safety. How many additional units should be held to meet this…Jordan Airline routinely overbooks its flights from Dallas to Florida. Overbooking discounted seats can be expensive because providing a bumped passenger with a last-minute flight on a competing carrier can cost $2,200. A 150-passenger jet costs about $150,000 to operate from Raleigh to Atlanta. The average ticket price is $2,000. Table. The frequency of no-shows NO-SHOWS FREQUENCY 1 15 2 10 3 10 4 5 5 5 6 5 a. how many seats should be overbooked? (show your calculations) b. Korean Airline increased the average ticket price from $2,000 to $3,000 on its Atlanta/Seoul route for the holidays. How would the increased ticket price affect the number of seats overbooked? (show your calculations)
- Caltex uses overtime, inventory, and subcontracting to ab-sorb fluctuations in demand. An annual production plan isdevised and updated quarterly. Expected demand, availablecapacities, and costs for the next four quarters are givenbelow. Design a production plan that will satisfy demand atminimum cost.Regular production cost per unit $10Overtime production cost per unit $15Subcontracting cost per unit $20Inventory holding cost per unit per period $ 2 Regular Overtime SubcontractingPeriod Demand Capacity Capacity Capacity1 1500 1000 200 5002 1900 1000 200 5003 500 1000 200 5004 2000 1000 200 500The local supermarket buys lettuce each day to ensure very fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4 a box. The lettuce is sold for $10 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes, with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, “That’s life.” On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolatecovered shrimp in some boxes so that “You never know what you’ll get.” Quarterly demand (in boxes of chocolates) for the last 3 years follows: Quarter Year 1 Year 2 Year 3 1 2 3 4 3,000 1,700 900 4,400 3,300 2,100 1,500 5,100 3,502 2,448 1,768 5,882 Total 10,000 12,000 13,600 a. Use intuition and judgment to estimate quarterly demand for the fourth year.b. If the expected sales for chocolates are 14,800 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. Are any of the quarterly forecasts different from what you thought you would get in part (a)?