Optimization and Brand Essay - 836 Words

Answers are hi-lighted yellow. Company As nationally advertised brand is Brand X. Contribution to profit with Brand X is $40 per case. Company As re-proportioned formula is sold under a private label Brand Y. Contribution to profit with Brand Y is $30 per case. Company As objective is to maximize the total contribution to profit. Three constraints limit the number of cases of Brand X and Brand Y that can be produced. Constraint 1: The available units of nutrient C (n) is 30. Constraint 2: The available units of flavor additive (f) is 72. Constraint 3: The available units of color additive (c) is 90. Material units per case of Brand X and Brand Y: Product Brand X Brand Y Formula for a case of Brand X = 4n+12f+6c Nutrient C:†¦show more content†¦The other two extreme points must be solved using both line equations simultaneously: Of the five extreme points, one point will provide the maximum profit contribution. Solving for the extreme point where the color and nutrient lines intersect subtract the two equations: 1) 6X + 15Y = 90 Multiply this equation by 2 to eliminate the X variable 4X + 4Y = 30 Multiply this equation by 3 to eliminate the X variable 2) 12X + 30Y = 180 12X + 12Y = 90 Subtract equation two from equation one 18Y = 90 Y = 5 Substituting Y = 5 back into the first equation 6X + 15(5) = 90 6X + 75 = 90 6X = 15 X = 2.5 Extreme point = (2.5,5) Solving for the extreme point where the flavor and nutrient lines intersect subtract the two equatitions: 1) 12X + 6Y = 72 4X + 4Y = 30 Multiply this equation by 3 to eliminate the x variable 2) 12X + 6Y = 72 Subtract equation two from equation one 12x + 12y = 90 -6Y = -18 Y = 3 Substituting Y = 3 back into the first equation 12X + 6(3) = 72 12X + 18 = 72 12X = 54 X = 4.5 Extreme point = (4.5,3) B. 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The 20th Century State of the American Dream Free Essays

The American dream has always been a popular and typical subject matter in literature and arts in the United States. Though not a lot of people may be able to define the term in technical detail, Americans certainly know it by heart. The American dream has grown to a multitude of meanings over the years. We will write a custom essay sample on The 20th Century State of the American Dream or any similar topic only for you Order Now A 15-year old girl may see the American dream as winning Ms. USA and being able to represent her country in front of the whole world. A young college student on the hand may see it as finding the most promising job and succeeding in his dream profession someday. While a newly wed man may see the American dream as acquiring his own house and property in a typical sub-urban area where he can start his life with his family calmly and peacefully. These are just some possible faces of American dream based on the perspectives of Americans from different walks of life. However, the real and concrete definition of ideal may not be that certain. The American dream have also been observed to evolve through the years since it has to base itself on the necessity of the American society. And considering the current state of the American society in this modern age of the 20th century, the American dream can be easily seen as the vision of America as an economically stable, politically peaceful and societally harmonious nation. In this light, one may easily see how the different sectors of the country contributes to the achievement of this dream. However, although it can be observed that all of the American’s visions are directed to this goal, there may still be things that hinder the achievement of this ultimate dream. In Loren Hickock’s letter to Harry Hopkins in 1934 reveals the state of America, and this was reflected in this statement: â€Å"A Promised Land, bathed in golden sunlight, is rising out of the grey shadows of want and squalor and wrethchedness down here in the Tennessee Valley these days† (Hichock, 1934). The United States of America as the nation on which the roots of the state if Tennessee stands was evidently described as a gifted nation showered with golden sunlight. This entails a lot of positive things. This can entail how rich the soil of America is, and this can entail how great it natural resources are. This could have made the American Dream reachable if only the showers of the golden sun was put to good use. In the same letter by Hickock, she describes the state of American farm lands in Tennessee and how these lands, despite their arability and richness do not even grow sufficient crops for people to consume. Hickock writes, â€Å"Crops grown on it are stunted. Corn, for instance, grows only about a third as tall there as it does in Iowa. They tell me it isn’t even good timber land. Just a thin coating of soil over rock. † (Hickock, 1934). This was during the 1930s. The situations at present may already be the same, but these confessions may reveal a pre-existing predicament which may have found its way to the roots of all Americans. A similar situation to this which can be seen to hinder America in achieving its ultimate dream is people’s waste of resources. Just like the failure of earlier Americans to maximize the capacity or arable lands in Tennessee, American nowadays are suffered with debts and unnecessary financial debts that eventually make them fail in balancing and maximizing their prime resource which is money. Aside from the dilemma on resources, one of the most significant dilemmas of Americans that may have hindered them for so long in achieving the American dream is racism and discrimination on religion. The popular men’s magazine in the US, Playboy conducted an interview with Malcolm X regarding the state of racism in America. During the 1960s. In Malcom X’s answers, his view of the American dream was clear; however, the destruction of this dream was depicted even clearer. Malcom X says: â€Å"Freedom, justice and equality are our principal ambitions[†¦ The white man has taught the black people in this country to hate themselves as inferior, to hate each other, to be divided against each other[†¦ ] the brainwashed black man can never learn to stand on his own two feet until he is on his own. We must learn to become our own producers, manufacturers and traders; we must have industry of our own,to employ our own† (â€Å"Playboy Interview Malcolm X, Alex Ha ley†, 1963). In these lines, the division between black and whites Americans was very apparent. It seemed like these people were living in two separate nations, when in fact, there were sharing one ground. 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But considering how pressured, restrained and oppressed people are now due to financial debts, poltical predicaments and economic instability, America may not be totally free after all. At least not yet. This picture can be easily seen in this statement of Hickock in the same letter she sent to Hopkins: â€Å"And all over the state, in rural areas, the story is the same– an illiterate, wretched people, undernourished, with standards of living so low that, once on relief, they are quite willing to stay living so low that, once on relief, they are quite willing to stay there for the rest of their lives. It’s a mess† (Hickock, 1934) How to cite The 20th Century State of the American Dream, Papers

Searching for Ancient Egypt Essay Example For Students

Searching for Ancient Egypt Essay Teresa JohnsonAR 320Joslyn PaperAn enormous cloaked figure greets incoming visitors. It sits, as it has for thousands of years a silent sentinel to the wonders of ancient Egypt. This block statue is only the first item of many at Joslyns art exhibition. The overall effect of seeing so much history in a relatively small space is awe-inspiring. I cannot help but wonder if the display would have had such a profound effect on me if I wasnt in the class. Probably so. I felt I could have stayed there forever if not for my one oclock class. Seeing photographs in a textbook gives me an idea of what life was like for the ancient Egyptians, but being surrounded by things from their lives creates a whole new feeling. The giant wall paintings depicting everyday life are incredible. The actual artifacts on display are amazing, to think that they have survived as well as they have for so long. The beaded shroud was so finely made, it was surprising it would have lasted a day back then, let alone be in tact today. The mummy case was interesting. I know people were smaller back then, but to see the case put size into a new perspective. How did the get the body through the slit up the back? Canopic jars were usually topped by the gods that protected the parts inside, but there was one top on display that was the head of a youth made from calcite. There were other canopic jars, with the gods heads as lids. Hearing how they attended the bodies and what had to be done was fascinating, even as it was disgusting. The limestone coffin for the high official had writing on it to rejoin spirit and body. The broad collar was beautiful, with the flowers made from different stones and falcon head ends. The Nubian Ba statue holding the pine cone shaped symbol and the staff to represent the body for the spirit is different from the Egyptian ka statue that would have been holding an ankh. The statue of the great commander of the arm looked female, even though the writing said it was male. Could it have been a female dressing as a male in order to gain power? The figure was entirely to feminine to be a guy. The spells from the Book of the Dead contain the answers for the soul to go to the afterlife. It has the names of all deities and the questions they would ask the soul, as well as the answers. Shabtis were little figures of people put in the tomb or buried with them to do work for the people in the afterlife. The memorial tablet for the purification priest was a stele meant to be read from all four sides, instead of two like the Palette of Narmer, which means it was probably put in the center of some room.Overall, the effect of the show was incredible. It was almost as good as going to Egypt to see things up close and personal, as they were found and, in my opinion, meant to be seen. The Egyptians lives had to be balanced, in every aspect of their lives. The feather hieroglyphic, a simple symbol, represented the order of maat. I thoroughly enjoyed the show, the next day I saw the IMAX movie of Egypts mysteries, which gives you the feeling of being in Egypt. I hope to see the Joslyn exhibition again before it leaves, to become immersed in so much history.