No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria:  Hurwitz (assume that alpha = 0.8)

We are predicting quarterly sales for soda at Gordon’sLiquor Store using Winter’s method. We are given thefollowing information:Seasonality factors: fall 0.8 spring 1.2winter 0.7 summer 1.3Current base estimate 400 cases per quarterCurrent trend estimate 40 cases per quartera 0.2 b 0.3 g 0.5Now sales of 650 cases during the summer quarter areobserved. a Use this information to update the estimates of base,trend, and seasonality. b After observing the summer demand, forecast de-mand for the fall quarter and the winter quarter.

apply appropriate techniques to solve a range of models of mathematical and real-world problems analyse the effects of changing model parameters on LP model predictions * select and develop appropriate mathematical models for decision making problems (a) A stationary supplies company wishes to produce deluxe and budget ink pens. Deluxe ink pens require eight units of material and 9 minutes to produce each pen. Budget ink pens require six units of material and 4 minutes to produce each pen. The company has 38.25 hours of labour and 1950 units of material available per week. Profit for deluxe ink pens is $2.40 per pen and for budget ink pens is $1.75 per pen. The company also wants the number of deluxe ink pens to be produced to be at least 6 times the number of budget ink pens produced. Formulate a Linear Programming problem to determine the company's best production plan to maximise profit (do not solve). (b) Solve the following Linear Programming problem using the Simplex Method. Full…

The second law of thermodynamic, according to Clausius statement says Select one: a. it is impossible to construct a device than can transfer heat from a hotter body to a cooler body without any effect b. it is possible to construct a device that can transfer heat from a hotter body to another hooter body without any effect c. it is possible to construct a device than can transfer heat from a cooler body to a hotter body without any effect d. it is impossible to construct a device than can transfer heat from a cooler body to a hotter body without any effect.

The manager of Mayo Department Store want to evaluatethe relationship between the sales of air conditioners andthe average weekly temperature. The following weeklysales data along with the average daytime temperaturesfor 10 one-week periods are shown in the following table:Week                        Air-conditioner Sales(in units)                      Average Temperature (in degrees Fahrenheit)1                100           782                  85           703                103           854                110           905                  70           756                115           947                150         1018                120            989                  97            8610                85             80 a Develop a linear regression equation for air conditionersales as a function of the average weekly temperature.b Forecast air conditioner sales if the average weeklytemperature is 88 degrees Fahrenheit.c Evaluate the "goodness of fit" of the regressionequation by…

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 290 engines and the mean pressure was 7.3 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.02 will be used. Determine the decision rule. Enter the decision rule.

the coefficient

The following correlation coefficient values come from five different linear regression models. Which model "fits" the data the best? D -8 0.50 00 0.99 O -1

The manager of a utility company in the Texas panhandle wants to develop quarterly forecasts of power loads for the next year. The power loads are seasonal, and the data on the quarterly loads in megawatts (MW) for the last four years are as follows: Year 3 117.6 Quarter Year 1 101.6 Year 4 101.5 Year 2 94.2 112.7 143.3 2 127.3 146.6 143.4 167.7 182.4 132.9 3 159.3 168.5 153.7 169.0 The manager estimates the total demand for the next year at 689 MW. Use the multiplicative seasonal method to develop the forecast for each quarter. (Round all intermediate calculations to three decimal places.) The first quarter forecast is MW. (Enter your response rounded to one decimal place.)

In the given problem, what other probability distributions might accurately describe Oakdale’s weekly usage of glue?