Two Variable Inequality Essay Example for Free

Two Variable Inequality Essay a) Let ‘c’ be the number of classic maple rocking chairs and ‘m’ be the number of classic maple rocking chairs that Ozark Furniture Company make. b) Here we have given that a classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. We have ‘c’ classic maple rocker, so total maple required for classic maple rocker chair = 15c board feet. And we have ‘m’ modern maple rocker, so total maple required for classic maple rocker chair = 12m board feet. We have total maple available is 3000 board feet. Hence we can show this condition as: 15c + 12m ≠¤ 3000. This is the inequality which is showing the given situation. c) Graph for this inequality: d) Here this is a less than and equal to inequality, so we need to take the area which is below to the line 15c + 12m = 3000 and this will be a solid line on the boundaries. The region lies between origin to x and y – intercepts. Each point which is in the first quadrant and under the shaded area is a solution for the given inequality. So, if (x, y) is a point in the shaded region then Ozark Furniture Company can obtain x number of classic and y number of modern maple rocking chairs. So, x – axis is showing number of classic maple rocking chairs and y – axis is showing the number of modern maple rocking chairs. i) Consider the point (50, 100). This point is indicating that company is making 50 classic and 100 modern maple rocking chairs. So, c = 50 and m = 100. So, 15c + 12m = 15(50) + 12(100) = 750 + 1200 = 1950. Total board maple available = 3000 board feet. Hence, total remaining maple = 3000 – 1950 = 1050 board feet. So, (50, 100) point, which is within the region showing that the company is making 50 classic and 100 modern maple rocking chairs and using 1950 board feet of maple. In this case total waste of maple is 1050 board feet. So, the company can fill the order easily. ii) Consider the point (200, 100). This point is indicating that the company is making 200 classic and 100 modern maple rocking chairs. So, c = 200 and m = 100. So, 15c + 12m = 15(200) + 12(100) = 3000 + 1200 = 4200. Total board maple available = 3000 board feet. Hence, extra maple required = 4200 – 3000 = 1200 board feet. So, (200, 100) point, which is out of the region showing that the company is making 200 classic and 100 modern maple rocking chairs and need 4200 board feet of maple. In this case the company needs 1200 board feet of maple. So, company cannot fill this order with the available maple. iii) Consider the point (100, 125). This point is indicating that the company is making 100 classic and 125 modern maple rocking chairs. So, c = 100 and m = 125. So, 15c + 12m = 15(100) + 12(125) = 1500 + 1500 = 3000. Total board maple available = 3000 board feet. So, here the company has exact amount of required maple. So, (100, 125) point, which is exactly on the line showing that the company is making 100 classic and 125 modern maple rocking chairs and need to be very careful because company has exact amount of maple available to complete this order. So, company can complete the order. f) Here the order is of 125 classic rocking chairs and 175 modern rocking chairs. In terms of point we can show this condition as (125, 175). So, we have c = 125 and m = 175. So, 15c + 12m = 15(125) + 12(175) = 1875 + 2100 = 3975 board feet. Total maple available = 3000 board feet. So, Ozark Furniture will need 3975 – 3000 = 975 board feet of lumber. So, Ozark Furniture is not able to fill this order because the point is outside of the shaded area and company will need 975 board feet of lumber to fill the order. Conclusion: This was a real life example that how to use inequalities in our business. By the use of this we got to know that we will able to fill any order or not and if not then how much more raw-material we need to complete the order. This was very interesting question and we discussed all the 3 possible cases in this. References Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: McGraw-Hill Publishing.

Santa Claus Does Exist Essay -- Argumentative Persuasive Essays

Santa Claus Does Exist So you don’t believe in Santa Claus. It’s understandable. We find ourselves in an age of pure skepticism. We question everything. Science has taken hold of our lives, providing answers for all questions and dismissing anything that cannot be explained as either myth or fiction. So it’s quite understandable why you don’t believe, with no physical proof of his existence. It’s indeed understandable to lose sight of Father Christmas with the transformation of this holiday into one that, as of late, is used commercially as a lucrative crutch solely to make profit. It’s understandable to abandon Santa Claus after hearing countless people deny his very physical or even spiritual existence. After all, one tends to believe something if it is repeatedly reported as true. But, let me tell you something, something that may lead you to quite a spectacular, fulfilling life. I believe in Santa Claus. â€Å"Why,† you ask, â€Å"position yourself only to be disappointed upon realizing that all you hold as true is in fact false?† I will tell you that I grew up believing in Santa Claus—the jolly, old, fat man who annually descended the chimney with his endless sack of treasures. I will tell you that I still believe that Santa Claus exists, despite being told otherwise by both parent and peer. I will tell you not only that Santa Claus exists, but that he exists in you and your family and your friends and every person who gives a little extra in any way thinkable. I believe. Every year, as the air becomes dry and the ground sparkles with the fluffy white of the snow, I see in the eyes of those who surround me a beard of white and a suit of red. I see society morph as the last month of our year pays its toll. Generosity ri... ...ch out only for themselves, we lose sight of what Christmas is truly about. Forgetting the being of Santa Claus only makes us slight the kindness on which this holiday is based. Not believe in Santa! You may as well not believe in the very gifts laid under the tree on Christmas morn. Without your faith, Santa Claus would be nonexistent. There would be no yearning in your soul to give of yourself to others, no example to follow. Thank God, Santa Claus exists and exists forever, lightening the heavy heart as the sight of the snow blankets the soul and defines the heart of childhood. The modern person believes upon seeing. Perhaps, one sweet day, far ahead, believing will be seeing once more. I’m lucky though; I can see Santa Claus every day, in each and every one of you, through the words you say and the moves you make, and I know you’ll see it, too, someday.

Algebra Writing Assignment

Joey Dolce Mr. Moore Algebra 2 28 September 2012 Algebra Writing Assignment The articles written by Roger C. Schank oppose the standard way of educating the young minds of America. The articles explain why, Algebra, Chemistry, Physics, History, and more academic subjects are useless in developing a young teenagers mind and growth. Although Roger C. Schank makes valid points about his arguments, I disagree with him on most of his opinions. Even though math is not a strong subject of mine I think math is used in someone’s everyday life.When making a decision math helps me think of the different possibilities and outcomes to make the best possible decision. Math is involved in many of the jobs society has to offer today. Engineering, construction, computer programmer, financial advisor, market analyst, and many more all include the involvement of math. Roger C. Schank criticizes the way subjects are taught in school. I think he forgets that since our nation has instituted the ide a of curriculum into the classrooms in 1892 America has advanced tremendously.We would not have advanced this much if the subjects taught in the classrooms were so useless and unimportant. Furthermore, Math is heavily involved in a nation’s economy and finances. Almost all economic decisions regarding a nation has math included in it. Whether to produce more of one good then another or how much money a nation should spend on its military is based off equations that math has given us. Not only does math help a nation but it also helps in small ways, such as in a family. If a couple decides to have kids, they should decide if they are financially ready for the kids.Will they have to make sacrifices on vacations or new appliances to have a child? All these decisions are solved through some sort of math. In, conclusion I believe that algebra is a very important part of life. Not only does algebra help you with life but mostly of all the subjects taught in school help you in some shape or form. In each subject, you learn new vocabulary, build on your writing skills, and learn better ways to study and prepare. All these skills taught in these subjects can help you prepare better for your future. Test: â€Å"Study Guide Algebra†

The Holocaust A Major Effect On Judaism - 1409 Words

The holocaust had a major effect on Judaism as a whole. This conflict between tragedy and faith is not new. Jewish history shows us that the jewish people have undergone the most terrible persecutions and genocide at the hands of many oppressors. Whether it be about the pogroms, crusades, destruction of the Temples, the jewish people have been at the brunt of the most terrible atrocities, and yet this does not shake their faith,Anti-Semitism was nothing new. This became even more evident with the unmasking of the holocaust.The philosophical question of â€Å"Shall the Judge of the earth not do justice?† applies just as much to the seemingly useless suffering of an individual as to that of six million individuals. If it could be dealt with on an individual basis before the Holocaust, why couldn t it be dealt with in the same way afterwards? The difference is one of quantity, but the quality of the question remains the same. In truth however, Hitler’s Final Solution was something peculiar in the fact that few people believed that in the 20th Century, when society had reached its intellectual and ethical peak, such genocide was conceivable. Public consensus, along with the media, reassured us that we could no longer return to the Middle Ages. However, the philosophers and prophets of Berlin, with their fine manners and high society, turned into the world’s greatest murderers. The world was silent. One may add, not only silent but in whole passive, sometimes comfortable with whatShow MoreRelatedBiography and Book Report on Shaul Magid1610 Words   |  6 Pagesa professor of religious studies and the Jay and Jeannie Schottenstein Chair of Jewish Studies in Modern Judaism at Indiana University. In addition, on the site he says that he grew up in a secular Jewish household in New York and then become serious about religion at the age of 20 in which he dove deeply into the world of Hasidism. 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The Holocaust and World War 2 have lasting effects to the world that no one will ever forget. Chaim Potok’s novel The Chosen and the true story The Man Who Broke Into Auschwitz told by Denis Avey both depict the events of World War 2, but in very different ways. In The Chosen, Reuven Malter and hasid Danny Saunders become unlikely friends through an accident in a huge baseball game. Danny hits Reuven in the eye while batting in baseballRead MoreUkraine : A Large And Pivotal State1085 Words   |  5 Pagessoutheast and 65 ° F in northern Ukraine. Average rainfall across the country is 18 to 24 inches annually. The landscape is defined by the Ukrainian steppes, or plateaus. These were historically grass lands that gave way to the Russian plains. Several major rivers flow through the center of the country south into the Black Sea and the Azov Sea. The Danube river delta marks a border with Romania to the Southwest. 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