causing shortening in the direction of force) Strain • If a bar is subjected to a direct load‚ and hence a stress‚ the bar will changes in length. If the bar has an original length L and change in length by an amount δL‚ the linear strain produced is defined as‚ Linear strain‚ ε=Original length (L) / Change in length (δL ) • Strain is a dimensionless quantity. Stress- Strain curve for mild steel • Elastic limit : It is the stress beyond which the material will not return to its original
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platinum‚ whereas each bracelet requires 2 ounces of gold and 5 ounces of platinum. The store has to use a minimum of two ounces of gold. The demand for bracelet is no less than three. A necklace earns $375 in profit and a bracelet‚ $225. Formulate a linear programming model for this problem with an appropriate objective function =number of necklaces to be made = number of bracelets to be made Maximize Profit (Z)= Subject to Maximum availability of gold Minimum usage quantity of gold Maximum availability
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column B. The weekly sales (y units) in each market area was then recorded as shown in column C. 1. Use linear regression to estimate a linear equation describing how the value of sales (y) varies with the level of the fitted equation. 2. Assess the validity of the fitted equation. 3. If the product sells at a price of $100 and costs $70 per unit to produce‚ estimate a linear equation for the company’s weekly profit in terms of its advertising expenditure (x). DATA SET 3 The
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The following table gives the time‚ in minutes‚ to perform the tasks at each assembly point for the individual teams. Assembly 2 26 24 26 24 26 Point 3 40 30 28 36 30 4 30 32 36 30 40 5 26 18 18 20 24 Team A B C D E 1 20 22 24 20 20 Formulate a linear programming model that will minimize the total assembly time for a printer. 6. Why is implementation a difficult aspect of the quantitative modeling process? Caston Sigauke 2006 1 7. A post office requires different numbers of full-time employees
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There Are Two OkunÕs Law Relationships Between Output and Unemployment Humberto Barreto and Frank Howland* Wabash College Abstract This paper corrects a fundamental error in the literature examining the OkunÕs Law relationship between the unemployment rate and the rate of growth of output. Since OkunÕs original work‚ biased estimates of the Okun Coefficient on Unemployment‚ output gaps‚ and potential GNP have been reported by authors who mistakenly assume that unbiased coefficient estimates
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------------------------------------------------- Applications [edit]Linear independence As mentioned above‚ the determinant of a matrix (with real or complex entries‚ say) is zero if and only if the column vectors of the matrix are linearly dependent. Thus‚ determinants can be used to characterize linearly dependent vectors. For example‚ given two linearly independent vectors v1‚ v2 in R3‚ a third vector v3 lies in the plane spanned by the former two vectors exactly if the determinant of the
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two currencies has been changed during the crisis‚ we separately discuss three time series periods: * 1999 2013 * 1999 to 2008 * 2008 to 2013. -------------------------------- Autoregressive time series A key feature of the log-linear model’s depiction of time series and a key feature of the time series in general is that current-period values are related to previous period values. For example current exchange rate of USD/EUR is related to its exchange rate in the previous period
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IBA134 Business Statistics OUA Study Period 4 (SP4)‚ 2013 Computer Assignment (Worth 15% of the overall assessment for the unit) Due date: 5pm (QLD time) on Sunday 26‚ January 2014 (Week 9) Instructions: All numerical calculations and graphs/plots should be done using EXCEL. A hard copy of your completed assignment must be submitted electronically with the Griffith OUA Cover Sheet (available in the Assessment section of the unit website) attached as the 1st page of your submission
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Forecasting Models: Associative and Time Series Forecasting involves using past data to generate a number‚ set of numbers‚ or scenario that corresponds to a future occurrence. It is absolutely essential to short-range and long-range planning. Time Series and Associative models are both quantitative forecast techniques are more objective than qualitative techniques such as the Delphi Technique and market research. Time Series Models Based on the assumption that history will repeat itself‚
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and Matrix Representation Homogeneous Coordinates Homogenous coordinates utilize a mathematical trick to embed three-dimensional coordinates and transformations into a four-dimensional matrix format. As a result‚ inversions or combinations of linear transformations are simplified to inversion or multiplication of the corresponding matrices. Homogenous coordinates also make it possible to define perspective transformations. Homogenous coordinates allow each point (x‚ y‚ z) to be represented
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