Consider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using the Hamilton method. B C D 1936 312 2736 9 1 13. Campus Enrollment Apportionment of 27 projectors A 836 4 (a) If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if the Hamilton method is used? Campus A Campus B Campus C Campus D Did the Alabama paradox occur? O Yes O No (b) If the number of projectors to be apportioned using the Hamilton method increases from 28 to 29, will the Alabama paradox occur? Yes O No
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- In Example 11.1, the possible profits vary from negative to positive for each of the 10 possible bids examined. a. For each of these, use @RISKs RISKTARGET function to find the probability that Millers profit is positive. Do you believe these results should have any bearing on Millers choice of bid? b. Use @RISKs RISKPERCENTILE function to find the 10th percentile for each of these bids. Can you explain why the percentiles have the values you obtain?Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The co-factor for the first element in the coefficient matrix for this system is: A. -27 B. -45 C. 27 D. 45The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150a. Using the following, forecast the sales for the months up to January the following year:-i. A simple three month moving average. ii. A three period weighted moving average using weights of 1, 2 and 3. Assign the highest weight to the most recent data. iii. Exponential Smoothing when α= .6 and the forecast for March is 350.iv. Determine which of the three forecasting technique is the most accurate using MAD.
- Solve for the future worth of each of the given series of payments: (a) $12,000 at the end of each six-month period for 12 years at 8% compounded semiannually. (b) $8,000 at the end of each quarter for 6 years at 12% compounded quarterly. (c) $6,000 at the end of each month for 5 years at 6% compounded monthly.18. New car sales for a dealer in Cook County, Illinois, for the past year are shown in the following table, along with monthly indexes (seasonal relatives), which are supplied to the dealer by the regional distributor. Month Jan. Feb. Mar. Apr. May. Jun. Jul. Aug. Sept. Oct. Nov. Dec. Units Sold 640 648 630 761 735 850 765 805 840 828 840 800 Index 0.80 0.80 0.70 0.94 0.89 1.00 0.90 1.15 1.20 1.20 1.25 1.25 a. Plot the data. Does there seem to be a trend? b. Deseasonalize car sales. c. Plot the deseasonalized data on the same graph as the original data. Comment on the two graphs. d. Assuming no proactive approach on the part of management, discuss (no calculations neces- sary) how you would forecast sales for the first three months of the next year. e. What action might management consider based on your findings in part b?2. Consider the transportation problem having the following parameter table (M is a big positive number) Source Demand 1 12345 2 3 5 1 2 3 343800 13 14 4 18 3 0 130940 Destination 4 5 22 29 18 21 M 3 5 26M940 16 M 11 24 34 19 23 11 4 6 Supply 0 ooooo 0 6 0 0 36 28 0 5 6 2 56743 (a) Use the northwest corner rule manually to obtain a complete initial BF solution, also find the objective value for this solution. How many basic variables are there in this solution? (b) Use Vogel's approximation method manually to select the first basic variable for an initial BF solution. (Attention, do not need to find an complete initial BF solution, just find the first BV for this initial BF solution)
- West Company’s contribution format income statement for March 2020 is givenbelow:Sales (15,000 units X $30 per unit) $450,000Variable expenses 315,000Contribution margin 135,000Fixed expenses 90,000Net operating income $ 45,000The industry in which West Company operates is quite sensitive to regularmovements in the economy. Thus, profits vary considerably from year to yearaccording to general economic conditions. The company has a large amount ofunused capacity and is studying ways of improving profits.Required:The company CEO has asked you as a Senior Manager to evaluate the belowsituations with recommendations:1- New equipment has come onto the market that would allow WestCompany to automate a portion of its operations. Variable expenseswould be reduced by $9 per unit. However, fixed expenses wouldincrease to a total of $225,000 each month. How Net Income wouldappear if the new equipment were purchased. As a Senior Manager,what factor/s would be paramount in your mind deciding…Below is a table that shows the Freshmen Enrollment of the New Texas Elementary School during the 1a Semesters of the past ten (10) Academic Years (AY), AY 2013-2014 2014-2015 2015-2016 2016-02017 2017-2018 Freshmen Enrollees AY 200 220 235 270 315 4. For the Weighted Moving Averages model, use: a weight of 0.40 for the most recent data; a weight of 0.35 for the second most recent data; and a weight of 0.25 for the third most recent data. You are the Principal of New Texas Elementary School. You are interested to know the forecast of freshmen enrolment for the next academic year (AY2023-2024), in order to plan ahead the necessary resources: faculty, classroom, library holdings, physical facilities, student services, furniture and fixtures, etc.). These are the requirements: AT 2013-2014 1. Calculate the forecast using 5 forecasting techniques/methodologies/models namely: Naïve Model, Unweighted and Weighted Moving Averages, Exponential Smoothing, and Time-Series Regression. Follow and…Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…
- 4. Explain how the logit model overcomes the problems associated with the Linera Probability Model in binary dependent variaraile model.Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.Randolph College and Salem College are within 20 milesof each other, and the students at each college frequentlydate. The students at Randolph College are debating howgood their dates are at Salem College. The Randolphstudents have sampled several hundred of their fellowstudents and asked them to rate their dates from 1 to 5(where 1 is excellent and 5 is poor) according to physicalattractiveness, intelligence, and personality. Following arethe resulting probability distributions for these three traits: