18 16 25 29 24 When the metals are processed and refined‚ the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. 19. As a result of a recently passed bill‚ a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman
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find only one straight line. If r=0‚ i.e. both the variance are independent then the two lines will cut each other at a right angle. In this case the two lines will be ║to x and y axis. The Graph is given below:- We restrict our discussion to linear relationships only that is the equations to be considered are 1- y=a+bx 2- x=a+by In equation first x is called the independent variable and y the dependent variable. Conditional on the x
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conditions I believe that the results shown in the distance vs. time graph will have a curve showing increasing speed or in other words‚ increasing velocity over time. Therefore‚ the results shown in the velocity vs. time graph will have a positive linear slope. The acceleration vs. time graph will then have no slope and just a straight line because the change of velocity is relatively constant. In conclusion‚ when the mass of the weight increases‚ the acceleration won’t and only the speed and velocity
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Operations Research CONTRIBUTERS: Prof. (Gp. Capt.) D.P. Apte Prof. (Gp. Capt.) Suhas Jagdale Prof. Anagha Gupte Anjali Mote MIT School of Business PGDM – 30th Batch Syllabus Subject Name: Operations Research Semester – II Subject Code: 203 Objective: Effective decision-making is the key to a manager’s success. Enhancement of productivity‚ optimum use of available resources and maximization of achievement of goals are important to the survival of an organization in today’s fiercely
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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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