Sunday, December 4, 2011
Week 8!
We are now finished with all new concepts for the first semester! Remember that there will be a chapter 4 test on Wednesday. Then get ready to start reviewing for the exam. In chapter 4 we talked a lot about applications of derivatives. This week I'd like you to explain in your own words what an optimization problem is OR what a related rate problem is and how it can be used in the real world.
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The optimization problem is the way we use to find the best solvtion of some problems. It's more like a shortcut to find out what is hard to find out. Just like that.
ReplyDeleteRelated rate problems help to solve some unknown variable in a situation. We have to find an equation and use our first derivatives with implicit differentiation because it deals with a certain instant of time that is always changing. This can be used all the time in the real world to find unknown variables of the rate something is changing, like velocity.
ReplyDeleteOptimization problem is problem to find the best solution of practical problems. So we can solve the unknown variable through finding easiest? shortest? way using some values showed up in some situation.
ReplyDeleteAn optimization problem is used to either maximize or minimze area, revenue, etc. An optimization problem can be solved by taking the first derivitive of the function that represents the value that you are trying to optimize and finding where that function has a maximum or minimum value.
ReplyDeleteVery good Nate.
ReplyDeleteIn optimization problems the goal is to find the largest or smallest value that a function can take (maximum or minimum). An example where you could use optimization in real life could be if you owned a business and you wanted to maximize the amount of product that gets produced within resource restraints. (budget, time, etc)
ReplyDeleteOptimization problems are finding the maximum or mminimum values in practical problems. For instance, if you want to make a lot of money through bank, you would find the maximum value through optimization.
ReplyDeleteOptimization problems are set up upon the derivatives, and in fact that not only the averenge conclusions or answers but also in peculiar additions that we would to know the max and the min, for instance, when we talk about business consequently we want to minimize the principle by the way that we should to maximize the profit or not get the average ！
ReplyDeleteThe Optimization problems are fining largest and smallest value in real life. For example, you can use optimization in businesses, and architectures. The one thing is we want to apply it to real life so there are no negatives when you built something, or going down is negatives.
ReplyDeleteOptimization problem is to find the maximum and minimum values. In real life, we can use this in manufacturing industry. By using optimization problem, we can find out how many of each type of product to make, the cost of producing each product, and the income from each product. We can also find out highest income and lost cost.
ReplyDeleteAn optimization problem is used to find either the minimum or maxim effectiveness of a layout, or sale. It is most helpful in the are of sales so you can decipher the best price.
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