Math Exercises Problem Example | Topics and Well Written Essays - 1000 words

Activities - Math Problem Example 1 A firm fabricates and sells q units of an item at cost =  £(575 † ½ q) which has unit expenses of  £(q2 †25q) and fixed expenses of  £45,000. (a) Write down articulations for: income, benefit and normal expense as far as output(q) of the firm. [1 mark] Income = (575 † ½ q ) q = 575q † ½ q2 Benefit = Revenue †Total Cost = 575q † ½ q2 - [(q2 †25q )q +45,000] = 575q † ½ q2 †q3 + 25q2 - 45,000 = †q3 + 24.5q2 + 575q - 45,000 Normal Cost = Total Cost/q = q2 †25q + 45,000/q (b) Find articulations for: minimal income, peripheral cost, minor benefit and peripheral normal expenses regarding yield (q). [2 marks] Minor Revenue, Marginal Cost, Marginal Profit and Marginal Average Costs is the subordinate of Revenue, Cost, Profit, Average Costs . Since the subordinate of f(x) = xn is nxn-1, we have: Minor Revenue = 575 †q Minor Cost = 3q2 - 50q Minor Profit = - 3q2 + 49q +575 Minor Average Cost = 2q †25 - 45,000/q2 (since 1/q = q-1) (c) Find the yield levels of the firm that and affirm that the yield levels found do without a doubt boost or limit these functions [ 1 mark] (i) Maximise income †¢ This is the diagram of Revenue = 575q † ½ q2 , we can see that it is boosted at q = 575. (ii) Minimise costs To limit costs, set minor expenses to 0 q = 50/3 or approx 17 units This is the diagram of Costs = q3 - 25q2 + 45,000. We can see that the limit esteem is roughly at q =17. (iii) Maximize benefits To expand benefits, set negligible benefits to 0 - 3q2 + 49q +575 = 0 Utilizing the quadratic recipe, we have: q = 23.23 , - 7.89 Ignoring the negative worth, we have: q = 23 units. This is the chart of Profit = - q3 + 24.5q2 + 575q - 45,000. We can see that the most extreme worth is around at q=23. (iv) Minimize normal expenses To limit normal costs, set minimal normal expenses to 0: 2q - 25 - 45,000/q2 = 0 (multiply the two sides by q2) 2q3 - 25q2 - 45,000 = 0 With the utilization of experimentation, we get the main conceivable incentive as: q = 33 units. This is the chart of Average Cost = q2 - 25q + 45,000/q. We can see that the most extreme worth is around at q=33. 2. The interest work for an item is given by the accompanying articulation: q = 25 + 200 (p - 2) (a) Calculate the interest at costs 3 and 7 [1/2 imprint ] For p = 3: q = 25 + 200 (3 - 2) q = 25 + 200 q = 225 For p = 7: q = 25 + 200 (7 - 2) q = 25 + 40 q = 65 Answer in (Q,P) structure: (225,3), (65,7) (b) Calculate the ARC versatility of interest as for cost between the costs given to some extent (an) and remark on whether request is versatile or inelastic between these prices. [1/2 mark] Earc = (Q2-Q1)/[(Q2+Q1)/2] (P2-P1)/[(P2+P1)/2] Earc = (65-225)/[(65+225)/2] (7-3)/[(7+3)/2] Earc = - 160/145 4/5 Earc = - 40 = - 1.38 29 Since a versatile great is the place value flexibility of interest is more prominent than one, we can consider that the interest is versatile between these costs. (c) Find an articulation for POINT flexibility of interest with deference to cost as far as price. [ 1 mark] Ept = (q/p) * p/q The subsidiary of q = 25 +200/(p-2) is q/p = 0 + - 1 (200) (p-2)- 2 What's more, q = 25 +200/(p-2) Thus: Ept = [-200p/(p-2)2]/[25 +200/(p-2)] (d) Calculate POINT flexibility of interest at costs 3 and 7 and remark on their qualities and on the connection between Curve and POINT elasticity [1/2 mark] Ept = [-200p/(p-2)2]/[25 +200/(p-2)] Ept (3) = (- 600/1)/225 = - 2.67 Ept (7) = - 56/65 = - 0.862 The estimation of curve versatility is in the middle of the estimation of point flexibility which is normal

The American Civil War essays

The American Civil War papers The American Civil War was a military clash between the United States of America (the Union), and 11 secessionist Southern states, composed as the Confederate States of America (the Confederacy). It was the climax of four many years of extreme sectional clash and it reflected profound situated financial, social, and political contrasts between the North and the South. One of the significant reasons for the Civil War was the apparently interminable political disagreements regarding servitude in the Mexican Cession and Louisiana Purchase domains. It was basic that the Democratic and Whig political pioneers keep up congruity between their Southern and Northern supporters, along these lines, the foundation of both during presidential decisions like that of 1848 attempted to maintain a strategic distance from that specific subjugation question. Notwithstanding, the augmentation of subjection into the new regions was perhaps the biggest issue of the time, and with developing resistance fro m the North, avoidance of it turned out to be progressively troublesome. Another critical reason for the war was the development of various reactions to abolitionist practices, for example, the Underground Railroad and responses to out of control slaves and the Fugitive Slave laws that prodded from all segments of the nation. At last, there was the monetary misery factor, of both outside and local roots, that included everything from duties to the money related accident of 1857. These thusly caused sectional disagreements about the utilization of the governments open terrains. In mid 1848, when gold was found in California, a swarm of swashbucklers filled the valleys. Free-soilers and slaveryites contended over the proposed issue of servitude in the domains, and in this way, regardless of whether the landscape itself was appropriate for a slave economy. In Congress on August 8, 1846, Pennsylvania Representative David Wilmot moved a revision: that, as an express and major state of the obtaining of any domain f... <! The American Civil War articles The American common war was unavoidable Common War: In U.S. history, the contention (186165) between the Northern expresses (the Union) and the Southern states that withdrew from the Union and framed the Confederacy. It is commonly referred to in the South as the War between the States and is likewise called the War of the Rebellion (the official Union assignment), the War of Secession, and the War for Southern Independence. It has been portrayed, in the expressions of William H. Seward, as the unstoppable clash. In another judgment the Civil War was seen as criminally moronic, a superfluous phlebotomy welcomed on by self-important fanatics and botching lawmakers. The two perspectives acknowledge the way that in 1861 there existed a circumstance that, appropriately or wrongly, had gotten to the heart of the matter that couldn't have been explained by peacfull implies. The American common war was unavoidable for some reasons. There were significant contradictions about different subjects and one of the greatest clash causes was subjugation. The issues began in January 1861 when Abraham Lincoln was chosen president. He was known to question subjection thus South Carolina who endorsed of the utilization of slaves, took steps to expel the state out of the United conditions of America. South Carolina pulled out and after it followed 10 additional states, Mississippi, Florida, Alabama, Georgia, Louisiana, Texas, Virginia, Arkansas, Tennessee, and North Carolina. These states turned into the confederates. In spite of the fact that moves were made just when president Lincoln was chosen president, the war was likewise unavoidable as a result of the enormous measure of individuals who restricted subjugation. These individuals wouldnt have recently watched nearby as the utilization of slaves proceeded thus the appointment of Abraham Lincoln was only a push nearer to the common war. In February The south(they endorsed of subjugation) shaped their own legislature and they made an archive called The Confederate Constitution. It was a lot of like the... <!

Essay Writing - The Disadvantaged Applicant and Other Essay Samples

Essay Writing - The Disadvantaged Applicant and Other Essay SamplesWhen you are seeking to write a medical school essay, a good essay writing guide can prove helpful. A good guide will provide you with all the information you need to make your writing as clear and precise as possible.In order to prepare for writing a medical school essay, it is important to get an idea of what sort of essay your target school requires. Here is a list of different kinds of essays that medical schools may require:Medical Students in Various Disadvantages: The majority of medical schools are extremely progressive and liberal, allowing students from all kinds of backgrounds to excel in the medical field. In order to write a successful essay, a medical student will need to be willing to view oneself in the perspective of a student from a disadvantaged background.According to one college professor, when writing a handicap medical student's essay, make sure to avoid appearing too clinical. Achieving an auth entic viewpoint will likely be difficult if one does not really 'feel' the situation. One should keep in mind that in order to find success with this kind of essay, one will need to be able to convey emotions, and not sound like an attorney from a court room.Those In Need of Assistance: The majority of schools require essays on the lives of individuals who are currently struggling with addiction or alcohol addiction. If you are a recovering addict yourself, you will need to be aware of the basics of medical writing to fully engage in this kind of essay. Here are some ideas that can help you.Use personal experiences or anecdotes that show the importance of personal accountability. Think about what you can write about that makes a dramatic contrast between your life and that of someone who has recently been through a serious drug or alcohol addiction.Medical Students in Different Disadvantages: Essays on the lives of those who are not generally accepted by society, are often less form al than essay samples on people from a variety of different backgrounds. Because these individuals do not fit in socially, they struggle with varying levels of personal acceptance. Instead of writing a traditional essay, students will need to focus on documenting their struggles with mental illness, or possibly using a blog as a way to talk about their experiences.The above are just a few examples of essay samples on people who are not normally accepted by society. There are many others, including the disadvantaged applicant. Make sure that you understand how to utilize the different parts of the essay in order to create a strong conclusion and educational material for your audience.