Test Bank for Chapter 4 Problem 4-1: Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3‚ subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1 + x3 ≤ 8 and x1 ≥ 0‚ x2 ≥ 0‚ x3 ≥ 0. Solution for Problem 4-1: We introduce x4‚ x5‚ and x6 as slack variables for the respective functional constraints. The augmented form of the problem then is Maximize Z = x1 + 2 x2 + 2 x3‚ subject to
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Karl Marx defined the American Civil War as a struggle between two historical epochs –the feudal and the capitalist (Post‚ 2011). The Civil War was a war between the North and the South after several states in the south seceded following Lincoln’s Presidency. The war first started off so as to defend states’ rights‚ however as it progressed the war was fought
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Abraham Lincoln and slavery. As a child everyone is taught that Lincoln freed the slaves and that’s the end of that. However‚ history is a culture of argument‚ which allows for different people to interpret history differently. That is exactly what happens between James McPherson and Ira Berlin. While trying to come up with the answer to "Who Freed the Slaves" they came to two different ideas. McPherson decides that Lincoln freed the slaves and Berlin decided that the slaves created the perfect environment
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still able to represent a realistic drawing of the bison and rhino‚ but the drawing has two-dimensional properties with the absence of shading found in the Rhino and Horse piece. Another difference is that in the Shaft of the Dead Man painting‚ a story is being told. The major difference of historic significance between these two pieces is that in the Shaft of the Dead painting the first appearance of a male figure in cave drawing was found. It was the only painting that was found in either the Lascaux
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Although serfs and freemen were both peasants‚ they did have some major differences and their taxation was different. The serfs and freemen had many differences. Freemen were still peasants‚ but they were also unwealthy‚ like the serfs‚ but could own land which was farmed on in return for labor and other fees (Admin). Although they were bound to the land that the nobles owned‚ they weren’t owned by anyone (Admin). The serfs were taxed much more than the freemen. A freeman had to pay taxes as well
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1. (24 points) If needed‚ additional workspace is provided on the next sheet. Doug Moodie is the president of Garden Products Limited. Over the last 5 years‚ his vice president of marketing has been providing the sales forecast using his special “focus” forecasting technique. The actual sales for the past ten years and the forecasts from the vice president of marketing are given below. |Year |Sales |VP/Marketing
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women‚ their female gods reflect this. For instance‚ Hestia is the goddess of hearth and home. However‚ the myths‚ and how the goddesses are portrayed‚ tell more about the men who held power. Men craved power and were afraid of anything that could take what power they had away from them. They believed women held a significant strength now known as child birth: “As a result‚ many of the mythical stories about women manifest signs of a deep male anxiety about feminine power” (Women and Myth 1). However
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Quiz. Evaluate the following problems. Show your solution and encircle your final answer. 1. In a 25-kVA‚ 2000/200 V‚ single phase transformer‚ the iron and full load copper losses are 350 W and 400 W respectively. Calculate the efficiency at unity power factor on a) full load‚ b) half full-load. 2. If P1 and P2 be the iron and copper losses of the transformer on full load‚ find the ratio of p1 and P2 such tat maximum efficiency occurs at 75% full load. 3. A 5-kVA‚ 2300/230 V‚ 50 Hz transformer
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the stories The Book Thief and The Help. Though they are different stories‚ they all teach us about the life and struggles of someone from their respective times. When we take the time to look at specific characters‚ we see some similarities and differences. Some of these are subtle and some are very broad. For example we see Liesel‚ a young girl living in Nazi Germany‚ hiding the secret of the Jew in the basement along with other things like her real mother’s identity. This can be compared to Miss
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Name: Period: Date: Electrostatics: Electric charges and Coulomb’s Law problems I I. Answer the following problems. 1. Calculate the electric force between two point charges of 4.00 µC and 3.00 µC when they are 2.00 cm apart. 2. Two points of equal charge produce an electric force on each other of 3.40x10 -2 N when placed 0.100 m apart. What is the charge on each point? 3. How far apart are two point charges of 2.0x10-6 C and 4.0x10-6 C if they produce an electric force of 0.56
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