Homework Assignment #6
... 17.4 A firm uses two inputs to produce a single product. If its production function is Q = x1/4 y 1/4 and if it sells its output for a dollar a unit and buys each input for $4 dollars a unit, find its profit-maximizing input bundle. (Check the second order conditions.) Answer: Under these conditions ...
... 17.4 A firm uses two inputs to produce a single product. If its production function is Q = x1/4 y 1/4 and if it sells its output for a dollar a unit and buys each input for $4 dollars a unit, find its profit-maximizing input bundle. (Check the second order conditions.) Answer: Under these conditions ...
![Midterm 2: Solutions Math 118A, Fall 2013 1. [25%] Find all](http://s1.studyres.com/store/data/014992809_1-16ed3d3489ed8ac8ee652c44f479db24-300x300.png)
Efficient Algorithms and Problem Complexity
... The performance ratio is indeed 2, i.e., for some instances, nextFit uses (almost) twice as many bins as is optimal. [Can you find one?] It is an online algorithm: items are processed as they arrive. It is a 1-bounded-space algorithm: at most one bin is open at a time. These are very useful properti ...
... The performance ratio is indeed 2, i.e., for some instances, nextFit uses (almost) twice as many bins as is optimal. [Can you find one?] It is an online algorithm: items are processed as they arrive. It is a 1-bounded-space algorithm: at most one bin is open at a time. These are very useful properti ...
Lesson 7.1 Writing One Variable Equations Name
... Independent and Dependent Variables A public radio station is accepting donations of money. A local company has promised to donate twice the amount of all donations given. Look at this equation: y = 2x Let x represent the amount of money that is donated. Let y represent the amount that the company w ...
... Independent and Dependent Variables A public radio station is accepting donations of money. A local company has promised to donate twice the amount of all donations given. Look at this equation: y = 2x Let x represent the amount of money that is donated. Let y represent the amount that the company w ...
A MODIFIED TSVD METHOD FOR DISCRETE ILL
... The larger the condition number, the more sensitive can xk be to the error e in b; see, e.g., [13, Lecture 18] for a detailed discussion. The truncation index k is a regularization parameter. It determines how close Ak is to A and how sensitive the computed solution xk is to the error in b. The cond ...
... The larger the condition number, the more sensitive can xk be to the error e in b; see, e.g., [13, Lecture 18] for a detailed discussion. The truncation index k is a regularization parameter. It determines how close Ak is to A and how sensitive the computed solution xk is to the error in b. The cond ...
Parameter Estimation with Expected and Residual-at
... uncertainty affecting the data is characterized by means of its first two statistical moments, and the above criteria are intended in a worst-case probabilistic sense, that is worst-case expectations and probabilities over all possible distribution having the specified moments are considered. The en ...
... uncertainty affecting the data is characterized by means of its first two statistical moments, and the above criteria are intended in a worst-case probabilistic sense, that is worst-case expectations and probabilities over all possible distribution having the specified moments are considered. The en ...
Linear inequalities
... The ability to sketch regions defined by linear inequalities is helpful when studying linear programming. This leaflet reminds you how to sketch these regions. You will need to be familiar with the manipulation of inequalities (see leaflet Manipulating Inequalities) and the sketching of linear relat ...
... The ability to sketch regions defined by linear inequalities is helpful when studying linear programming. This leaflet reminds you how to sketch these regions. You will need to be familiar with the manipulation of inequalities (see leaflet Manipulating Inequalities) and the sketching of linear relat ...
1 Lecture 11: Math 285 (Bronski)
... Since p(x) is a continuous function the integral is bounded and thus the integrand is some finite number, and the exponential never vanishes. Thus the only way that W (x) can vanish is if W (0) vanishes, in which case the Wronskian is identically zero. The reason for studying the Wronskian is the fo ...
... Since p(x) is a continuous function the integral is bounded and thus the integrand is some finite number, and the exponential never vanishes. Thus the only way that W (x) can vanish is if W (0) vanishes, in which case the Wronskian is identically zero. The reason for studying the Wronskian is the fo ...
Multiplication and Division Properties of Equality
... In example #1, the second way we solved the problem was by dividing 27 by 3. On the left side, if we divide 3x by 3, we get x. So, by dividing both sides of 3x = 27, we get the equation x = 9. In example #2, the second way we solved the problem was by multiplying 1.1 by 5. On the left side. if we mu ...
... In example #1, the second way we solved the problem was by dividing 27 by 3. On the left side, if we divide 3x by 3, we get x. So, by dividing both sides of 3x = 27, we get the equation x = 9. In example #2, the second way we solved the problem was by multiplying 1.1 by 5. On the left side. if we mu ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.