Question 2It is assumed that there is a connectionbetween X and Y variables in the form Y = aX³ + bx + c andthat the sum of the coefficients a, b and c, which cannot takenegative values in this connection, is 1. Write the linearprogramming problem that can perform the necessaryoperations to calculate the coefficients a, b and c in such a wayas to minimize the sum of the absolute values of the errorsbetween the measurements listed below and the predictions tobe calculated with the formula above.NXY121123323154328529

AnswerY=aX3+bX+cIn the table X and Y are given as pairs .a, b, and c are coefficients, and their…

Answered: Question 2 It is assumed that there is…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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16. Company B have made a recent study on their historical data of the unit order price of a certain product. Based on this monthly time series they have discovered two behaviors regarding the factor(i.e. price) they want to forecast. The first behavior was a positive trend in the values. They were able to fit a linear trend line (y=a+b*x) to the available data. However they have realized that it was not enough to account for all the fluctuations. The following investigation revealed that the price values were also fluctuating based on seasonal effects. Eventually they were able to build a forecasting system to predict the price of this certain product. All the trend line components and seasonality indices are provided below. Seasonality factors are calculated to be used in a multiplicative manner. Please show the calculations for ONLY the cells that contain a question mark below. Period 1 2 3 4 5 6 7 8 9 10 11 12 13 Slope Intercept = Number of "seasons" 2 3 4 1 2 3 4 1 2 Season 3 4 1…
ANSWER 7 AND 8 ONLY
The observed demand from the four quarters of Year 1 can also be used to developinitial deseasonalized forecast estimates that are required to start making forecasts withthe exponential smoothing models. The first real forecast will be for Q1 of Year 2, andthe use of simple exponential smoothing requires an estimated deseasonalized forecastfrom Q4 of Year 1 to use as a starting point. The estimated deseasonalized “forecast” forQ4 of Year 1 should be obtained as the average deseasonalized quarterly demand fromYear 1. The estimate can also be used as the starting base forecast component for Q4 ofYear 1 for trend-adjusted exponential smoothing. The initial deseasonalized trendcomponent estimate for Q4 of Year 1 should be assumed to be zero.
Suppose you sample one value from a uniform distribution with a = 0 and b=20. a. What is the probability that the value will be between 12 and 172 b. What is the probability that the value will be between 4 and 72 c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 12 and 17 is (Type an integer or a decimal)
A10
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?
Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.
For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( ) Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( ) Optimal Solution Objective Function Value - Variable. Constraint X1 X2 X1 X2 X3 X4 X3 X4 1 2 Variable 1 2 3 3 4 OBJECTIVE COEFFICIENT RANGES 4 Constraint RIGHT HAND SIDE RANGES Value Slack/Surplus Lover Limit 25.000 425.000 150.000 0.000 84.000 50.000 No Lover Linit No Lover Linit Lover Limit 48450.000 0.000 25.000 0.000 0.000 4950.000 1775.000 515.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Linit 90.000 87.000 105.000 Upper Linit 5850.000 No Upper Limit 603.571 200.000
One of the assumptions made in simple regression is that ______________. a. the error terms are exponentially distributed b. the error terms have unequal variances c. the model is linear d. the error terms are dependent e. the model is nonlinear
In a research study, a linear regression analysis was performed to investigate the relationship between the size of a household (number of family members) and their monthly grocery expenses (in dollars). The linear model obtained is Y=200+150X Where: Y represents the predicted monthly grocery expenses and X represents the size of the household (number of family members). Interpret the slope in context, including the numeric value of the slope and the units of both X and Y. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial P 10pt > A VV Ix SE X QS |||| 0 WORDS POWERED BY TINY
answer a,b,c
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