X-ray Crystallography Technique Analysis

X-ray Crystallography Technique Analysis 1 Limitations of x-ray crystallography From the first crystalline structure determination of table salt in 1914; whose structure elucidation proved the existence of ionic compounds (6), single crystal x-ray diffraction (SC-XRD) has been widening our view of the hidden world of molecular structures. Today, SC-XRD continues to be the only structural analysis method that offers direct structural information at the atomic level. As such, this technique has been vital for reliably solving many structures of small molecules such as neurotransmitters, antibiotics and industrial catalysts. SC-XRD utilises the ability of crystalline atoms to scatter or diffract a beam of incident x-ray into a series of amplified and spatially constrained beams (3). The angles and intensities of these beams can be measured and computationally processed by a crystallographer to produce a 3-dimensional image of the density of electrons in the crystal. Aside from the expertise required to process the reflection data produced, the fundamental requirement of crystals for this technique acts as major limitation, since single molecules scatter the incident x-ray to produce a weak, continuous beam that provides little useful information for analysis. While technological advances in recent decades including highly intense x-ray beams produced by synchrotrons and the development of more powerful algorithms for molecular structure imaging have allowed the size of the crystal required to be increasingly smaller, the need for a crystal has still not been eliminated. This poses a great issue as many t arget compounds are very difficult to crystallise, thus requiring experienced specialists; while others will simply not crystallise at all. In 2013, a new protocol, later coined the crystalline sponge method (CSM), was reported that attempted to bypasses this intrinsic limitation of the target molecule needing to be crystalline (1). 2 The journey of the crystalline sponge method Expectations Fujita and his team described the new method that promised to speed up SC-XRD drastically by eliminating the crystallization step of the target molecule. This was done using porous metal organic frameworks (MOFs) that act as crystalline sponges. Due to the high molecular recognition capability of their pores, these sponges can absorb target molecules from the sample solution into their pores.   In their study, Fujita and his team used two MOFs synthesised from tris(4-pyridyl)-1,3,5-triazine (TTP, 1) and the appropriate metal salt as their crystalline sponges: {[(Co(NCS)2)3(TTP)4]à ¢Ã¢â€š ¬Ã‚ ¢x(solvent)}n (2) and {[(ZnI2)3(TTP)2]à ¢Ã¢â€š ¬Ã‚ ¢x(solvent)}n (3). In both complexes, the void spaces showed strong binding properties for incoming guest molecules making them ideal crystalline sponges. The as-synthesized complexesà ¢Ã¢â€š ¬Ã¢â‚¬ °2 and 3 contained solvents in the void. By soaking the crystals of 2 and 3 in a guest solution, guest molecules slowly penetrate these wet cavities by guest exchange, and are concentrated at the molecular-recognition pockets surrounded by TTP. A characteristic of the strong host-guest interaction in the crystals of 2 and 3 lies in panel ligandà ¢Ã¢â€š ¬Ã¢â‚¬ °1, which attracts various guests onto its electron-deficient à Ã¢â€š ¬-plane. The slow guest exchange allows for the process to remain under thermodynamic control, rendering the geometry of the included guests to be regularly ordered and well equilibrated, thus making it possible to analyse the accommodated guests by crystallography since the molecular structure of the absorbed guest will be displayed, along with the host framework. Since theoretically, only one crystal is needed to perform the experiment, Fujitas team found that even trace sample amounts of the microgram-nanogram scale can be analysed in this protocol. When the team used only 80à ¢Ã¢â€š ¬Ã¢â‚¬ °ng of guaiazulene guest sample with a crystal of 3 (80à ¢Ã¢â€š ¬Ã¢â‚¬ °ÃƒÆ'-à ¢Ã¢â€š ¬Ã¢â‚¬ °80à ¢Ã¢â€š ¬Ã¢â‚¬ °ÃƒÆ'-à ¢Ã¢â€š ¬Ã¢â‚¬ °80à ¢Ã¢â€š ¬Ã¢â‚¬ °ÃƒÅ½Ã‚ ¼m3), they were surprised to see the guestà ¢Ã¢â€š ¬Ã¢â‚¬ °was still clearly observed. Considering that the experiment was carried out using a laboratory X-ray machine, it seemed promising to accomplish crystallography with synchrotron X-ray experiments even on a mass of In order to assess the scope of the method, the team carried out blind crystallographic analysis of six appropriate samples (Fig) with only ~5à ¢Ã¢â€š ¬Ã¢â‚¬ °ÃƒÅ½Ã‚ ¼g of each sample. In conjunction with mass spectroscopic data, all six structures were correctly assigned, with three of the structures solved solely from the crystallographic data. Additionally, the protocol was successfully used to determine the absolute stereochemistry of santonin 4, an anthelminthic drug bearing four chiral centres. Unlike common absolute structure determinations, this was achieved without the chemical introduction of heavy atoms on the guest skeleton since the host framework contains heavy atoms (Zn and I) that show enhanced anomalous scattering effects. (Expand The most impressive result of the teams protocol however was determining the absolute structure of miyakosyneà ¢Ã¢â€š ¬Ã¢â‚¬ °A 5, a scarce natural marine product recently isolated from a marine sponge Petrosia sp. The structure contains three chiral centres on its main alkyl chain, two of which, C3 and C26, had been previously determined to be 3R and 26R respectively. However, since the difference between the two long alkyl groups on C14 is only one methylene unit, determining the absolute configuration at C14 was ineffective by conventional spectroscopic and chemical methods. As the amount of miyakosyneà ¢Ã¢â€š ¬Ã¢â‚¬ °A was very limited, preparation a single crystal for X-ray crystallography would propose a huge challenge. The team were able apply their method to the full characterization of miyakosyneà ¢Ã¢â€š ¬Ã¢â‚¬ °A to determine the absolute configuration at C14 and reported success. For its appraisers, it was this result that made this new protocol transformational (4) and understandably it led to a lot of excitement in the field. 1.3 The Fall The initial lustre of the protocol was dulled as Fujita and his team published a correction on the initial report later that year (1b). Previously unnoticed ambiguities in the crystallographic data, alongside further investigation of by the team found the initial assignment of stereochemistry at C14 of 5 to have been incorrect. Synthetic studies by the team determined the methyls stereochemistry was opposite to the original assignment reported. Poor data quality was concluded to be the cause of this errors. Additionally, more problems were met as other research groups tried to use the technique in their own labs. Although success with the technique was achieved for simple molecules, in the first few months, other groups found little success with any interesting structures, particularly large molecules or molecules containing alkaline chemical groups (8b). Fujitas team were able to aid other industrial and academic groups to master the technique in one to two weeks. Additionally, more of the issues in reproducibility were improved by the release of a more detailed report of the method (1c) that described the sponge synthesis, pore-solvent exchange and selection requirements for high quality single crystals for crystallography. However, this did not address the issue of poor data quality that led to the misassignment of 5. Since poor data quality can be attributed to all steps of the CSM, including cystal synthesis, solvent exchange, guest-soaking, data collection and crystallographic ref inement of the host-guest complex molecules; in order to move the CSM from the fascinating idea phase into becoming the transformational and reliable new technology it was envisioned to be, much work was required to optimise all these steps. 3. {[(ZnI2)3(TTP)2]à ¢Ã¢â€š ¬Ã‚ ¢x(solvent)}n: The most successful sponge to date 3.1 Andvantages of {[(ZnI2)3(1)2]à ¢Ã¢â€š ¬Ã‚ ¢x(solvent)}n In their initial paper, Fujita and his team reported using sponges 2 and 3. With further investigation, in the case of complex 2, it was observed that guest molecules absorbed in the sponge were prone to static disorder as they tend to lay on the symmetry elements of the cubic lattice (Fm3m). Additionally, complex 2 was shown to undergo unfavourable transformations when removed from solution (8c). This destabilising transformation, accompanied by a colour change from orange to green, resulted in a semiamorphous solid with a significantly altered coordination environment at the metal centre. As such, the less symmetric (C2/c) complex 3 has been employed as the primary host complex for the crystalline sponge. The versatility of 3 as a crystal sponge stems from several advantages in host-guest complexation in the pores. Firstly, the size of the pores is ideal for accommodating organic molecules of common sizes, while the hydrophobic nature of the pore cavities provides favourable bindin g of common organic molecules. Also, ligand 1 in the complex offers flat and electron-deficient binding site, appropriate for stacking with aromatic compounds and for CH-à Ã¢â€š ¬ interactions even with aliphatic compounds (9). Since the I atoms in the ZnI2 are good hydrogen-bond acceptors and the pyridyl protons of the ligand 1 are good hydrogen-bond donors, they provide efficient binding sites through hydrogen-bonding. Finally, the framework of sponge 3 is reatively flexible with the size of the guest not strictly limited to the pore size of the complex. Molecules larger than the portal are often accommodated by expanding the pore size. (1.3) 3.2.1 Synthesis of {[(ZnI2)3(1)2]à ¢Ã¢â€š ¬Ã‚ ¢x(solvent)}n and solvent exchange by Fujita method and updated Clardy method In their investigations, Fujita and co-workers prepared 3 by layering a solution of zinc iodide in methanol onto a denser solution of TTP (1) in nitrobenzene. The solution is allowed to stand for 7 days, over which crystals form at the boundary of the two solvents as they diffuse before dropping to the bottom of the test tube and being isolated by filtration. The as-synthesised crystals contain nitrobenzene molecules in the void spaces. However, since nitrobenzene has a high affinity to the pores, target guests are poorly absorbed into the as-synthesised crystal. As such, a solvent exchange step that replaces nitrobenzene with an inert, noninteractive solvent is required prior to soaking the crystal in the target guest solution. Cyclohexane can be adopted as the inert solvent, while pentane also proves useful for guest soaking at temperatures below 0oC. The solvent exchange step is carried out by soaking the crystal in the inert solvent for 7 days at 50oC. The success of the process can be monitered throughout by observing the disappearance of the signal at 1346 cm-1 in an Infrared (IR) spectrum, which can be assigned to nitrobenzene. Completion of the process is confirmed by SC-XRD by the presence of ordered cyclohexane molecules in the pores. The sponge may now be used for guest absorption. This solvent exchange process may complicate the refinement of the structure, since some nitrobenzene may reamin within the sponge structure after exchange (Vinogradova et al., 2014). This becomes an issue if the target guest molecule contains cyclohexyl or aromatic rings, as it may be difficult to distinguish the guest from residual solvent, especially if   the site occupancy is low or the data quality is poor. Accompanied with heavy use of crystallographic restraints, this increases the risk of misassignment of the desired guest molecule by using residual solvent electron density. Additionally, if the residual solvent and the guest interact similarly with the host, the likelihood of occupational disorder increases and making structure refinement much more challenging. Clardy and co-workers later reported a simpler and less timely preparation method for the synthesis of sponge 3 using similar conditions to those reported by Fujita and his team. (5sync) Instead of conducting the layer diffusion step with TTP in nitrobenzene, TTP is dissolved in chloroform. As such, the as-synthesised crystals of sponge 3 contain chloroform in the pores. Since chloroform has a much lower affinity for the solvent pores than nitrobenzene, the solvent exchange step can be omitted and the as-synthesised crystals used immediately. As well as saving 7 days of preparation by omitting the solvent exchange step, this method is also milder as it does not require the crystal to be heated for long periods of time. This reduces the chances of introducing imperfections in the crystal. This omission also minimises the number of solvents that the crystal is exposed to, reducing issues in structure refinement. Although some CHCl3 might remain within the sponge after guest inclusion, due to its longer C-Cl bond length (à ¢Ã‹â€ Ã‚ ¼1.7à ¢Ã¢â€š ¬Ã¢â‚¬ ¦Ãƒâ€¦) and larger Cl electron density, CHCl3 can still be observed. This greater electron density for CHCl3 exerts a larger influence on the structure factors relative to incorporated guest compared to nitrobenzene, however the benefits of CHCl3 usage override this issue. In addition to the desired crystals, this preparation method has been found to simultaneously form other crystalline structures. Firstly, a crystalline compound with the formula [{(ZnI2)3(TPT)2 ·CHCl3}n] (2), having a much smaller pore size has been viewed. Fortunately, this crystalline structure can be easily distinguished from the desired structure from its morphology (Fig). A second undesired crystal has more recently been observed with consistently distinct unit parameter, but having indistinguishable morphology to the desired structure from its morphology (Fig). Both these crystals are believed to form due to slight changes in humidity and temperature as well as variations in mixing in the initial stages of the layering process.   desired crystal. Both these crystals are believed to form due to slight changes in humidity and temperature as well as variations in mixing in the initial stages of the layering process.

Needs and Concerns of New France Essay

I am writing to you on the issues and needs of New France. Some of the concerns and needs are, the on going war with the Iroquois, population, and industry in agriculture. The Iroquois are a grand part of concern on our people in New France. Presently there is war going on amongst us and the Iroquois. Our people are afraid to go hunting or fishing. If the people are not able to hunt or fish New France is going to struggle because there will not be enough food to be provided. We will also fall behind in fur trading. Since the people are frightened we can not go on exploring lands as it may be risky because of the Iroquois. The Iroquois do not let us cross their lands, so we can not get to our preferred destination. So being in danger of the Iroquois had its disadvantages such as, being afraid so we are not able to hunt or fish, not exploring further, and not getting to our specifies destination. The population in New France is struggling with men and women. I am trying to motivate our people by giving them rewards for marrying and giving birth early. If they do not they will receive penalties. In New France we are in need of more women. So they can get married and give birth. This will increase New France’s population, and you will not have to bring in more females after that. Also there are not enough residents to occupy Canada and live in it. This is a big issue if France wants to gain power and control over other land. So I suggest that before we get more women I ask if you could send in more people to New France. In addition the population has increased in men rather so then women. This again is a problem. So again our concerns are that we are lacking women, there are not enough people in New France to later expand to a big country Canada, and more men increased then women making the population gender wise unbalanced. New France also has to develop its own agriculture and industries. In New France there is a need for agriculture businesses. In the agriculture businesses we need to organize transportation to carry crops and livestock. This will also make it easier to deliver. Another need for New France is to become fewer dependant on France, in terms of supplies, food, people, and etc. Our growing industries are also beginning to drain out France’s finances. Since we are asking for too much and not giving back enough. We should receive a loan to start of industries or to improve on them to provide us with necessities which after we trade or sell and pay off the loan. So, there is a need for agricultural businesses. New France to become more independent and our industries are beginning to drain out France’s finances. You’re Majesty now that I have stated the concerns and needs for New France which are, the on going war with the Iroquois, population problems, and agriculture and its industries. I hope you will take into account the needs and concerns and hopefully come up with solutions. Thank you for taking your valuable time on this letter.

Essay on the Nature of Trade in General’

In the excerpt from R. Cantillion ‘Essay on the Nature of Trade in General’ relationship between price and costs of production are being described and explained. Author emphasizes that price of a commodity is a ‘measure of the Land and Labour which enter into its Production’. In other words, price consists of labour and manufacturing costs and should reflect the quality of these two factors. In the excerpt, author makes some accurate assumptions.Firstly, he notices the difference in value of land and labour: ‘One Acre of Land produces more Corn or feeds more Sheep than another. The work of one Man is dearer than that of another’. I am interpreting land as the quality of materials to produce a commodity and consider only labour included in manufacturing. So the fertility of land (which is equal to the quality of the good, as the more fertile land is, the tastier, nicer and bigger fruits it will produce) and quality of labour should be included in the price.Author uses example with wool suite to illustrate his observations : ‘If the Wool of the one Acre is made into a suit of coarse Cloth and the Wool of the other into a suit of fine Cloth, as the latter will require more work and dearer workmanship it will be sometimes ten times dearer’. So the suit of fine cloth will be more expensive than the one from coarse cloth even thought the price of materials used for these suits are the same. It means that price difference of the costumes is determined by the price of labour. Fine cloth suit requires more skilled work and at the same time more expensive work.Skilled workers, with more knowledge are more efficient so their labour costs more. Same relationship between price and quality of materials exist: ‘the price of the Hay in a Field, on the spot, or a Wood which it is proposed to cut down, is fixed by the matter or produce of the Land, according to its goodness’. Author uses phrases such as ‘land fertility’ and ‘quality of the produce of the land’, but for simplicity, let’s assumes that it is the quality of materials used for production or the quality of the good itself it is a raw material.The price of billets is determined by the quality of timber, the price of hay is determined by the quality of the grass cut. In this case the difference between two identical piles of wood or two rolls of hay is determined by the quality of the materials. This given example proves that relationship between the price and quality of the materials do exists. Another accurate observation was made about the surplus and the shortage influence to the price. Author used an example with corns: ‘If the Farmers in a State sow more corn than usual

Free Essays on Robber Barons And Good Capitalists

James Jay Gould was born at Roxbury, N.Y., the son of John Burr and Mary (Moore) Gould, who owned a poor hill farm. On his father's side he was descended from Nathan Gold, of Bury St. Edmunds, England, who moved to Milford, Connecticut, in 1647 and some three years later settled in Fairfield, Conn. On his mother's side he was of Scottish descent. By determined effort, working for a blacksmith and later as clerk in a country store, he obtained some education in an academy and learned the basics of surveying. With this equipment he showed an abundant knack in money-making. Between his eighteenth and twenty-first years he helped prepare maps of Ulster, Albany and Delaware counties in New York, Lake and Geauga counties in Ohio, and Oakland County in Michigan, and in 1856 he published a volume of local history, History of Delaware County, and Border Wars of New York. At twenty-one, an undersized, keen-witted, unscrupulous young man, he had saved $ 5,000. With Zadock Pratt, a New York poli tician, he opened a large tannery in northern Pennsylvania, and shortly prevailed upon a New york leather merchant, C.M.Leupp, to assist him in obtaining full control of it. His business relations with both men were sharp to the point of deviance, and his enemies always declared that his speculations were partly responsible for Leupp's suicide in 1857. Abandoning the tannery, after a brief career in 1859-60 as leather merchant at 39 Spruce St.,New York, he began speculating in small railways. A profitable deal in bonds of the Rutland & Washington was followed by his managership of the Rensselaer & Saratoga and investments in other lines. Gould's operations first became spectacular when in October 1867 he and James Fisk joined the directory board of the Erie Railroad, of which Daniel Drew was treasurer and controlling agent. In the titanic and scandalous battle with Cornelius Vanderbilt, which followed, Gould supplied the brilliant imagination wh... Free Essays on Robber Barons And Good Capitalists Free Essays on Robber Barons And Good Capitalists James Jay Gould was born at Roxbury, N.Y., the son of John Burr and Mary (Moore) Gould, who owned a poor hill farm. On his father's side he was descended from Nathan Gold, of Bury St. Edmunds, England, who moved to Milford, Connecticut, in 1647 and some three years later settled in Fairfield, Conn. On his mother's side he was of Scottish descent. By determined effort, working for a blacksmith and later as clerk in a country store, he obtained some education in an academy and learned the basics of surveying. With this equipment he showed an abundant knack in money-making. Between his eighteenth and twenty-first years he helped prepare maps of Ulster, Albany and Delaware counties in New York, Lake and Geauga counties in Ohio, and Oakland County in Michigan, and in 1856 he published a volume of local history, History of Delaware County, and Border Wars of New York. At twenty-one, an undersized, keen-witted, unscrupulous young man, he had saved $ 5,000. With Zadock Pratt, a New York poli tician, he opened a large tannery in northern Pennsylvania, and shortly prevailed upon a New york leather merchant, C.M.Leupp, to assist him in obtaining full control of it. His business relations with both men were sharp to the point of deviance, and his enemies always declared that his speculations were partly responsible for Leupp's suicide in 1857. Abandoning the tannery, after a brief career in 1859-60 as leather merchant at 39 Spruce St.,New York, he began speculating in small railways. A profitable deal in bonds of the Rutland & Washington was followed by his managership of the Rensselaer & Saratoga and investments in other lines. Gould's operations first became spectacular when in October 1867 he and James Fisk joined the directory board of the Erie Railroad, of which Daniel Drew was treasurer and controlling agent. In the titanic and scandalous battle with Cornelius Vanderbilt, which followed, Gould supplied the brilliant imagination wh...

America, Becoming A Country Through Invasions essays

America, Becoming A Country Through Invasions essays America, Becoming A Country Through Invasion Warpaths by Ian K. Steele, is the book I chose to read for my book report. Warpaths discusses the invasions of North America and the struggles that went on so that Europeans could gain control of the New Land. The book is broken into three main sections; Bases for Invasion, 1565-1684,Colonies and Tribes, 1687-1748, and finally Empires, Colonies, and Tribes, 1784-1765. In the course of my essay I will go through and discuss the strengths and weaknesses in each section. I will talk about the use of maps, illustrations and the references notes that are used through out the text. Ian K. Steele has the main objective in this book of creating a new image of how America was created. Steele takes an Ethno historic and military, perspective on the invasions of America. He presents a new and radical view of how things took place and the reasoning behind the events that took place. The lay out of the book is similar to that of a common textbook, which creates a strong structurally persuasive b ook. The multitude of sources used by Steele forms a feeling of security in the readers mind, as to the authenticity of his argument. Before even getting into Part 1 of the book, Steele, has a chapter on Arms in Arcadia, this chapter talks about the beginning of it all, he touches on Columbus, Cabot, and Cortezs roles in the new world. Also talking about the Countries that gave power to these mere men. Steele successfully creates and idea of what life was like for the early inhabitants of North America. Showing pictures of the distribution of tribes in and around the Florida area of America, and describing life styles, he creates an understanding for his readers. As Steele begins in Part 1, he speaks of the lifestyles that the Europeans have made for themselves in America by 1565. Clearly explaining the incorporation of natives styles o...

Mergers and Acquisitions Essay Example | Topics and Well Written Essays - 3000 words

Mergers and Acquisitions - Essay Example The barriers in establishing business units in overseas countries were diluted as a result of globalization. Moreover, it is possible for larger firms to select their own strategies or mode of entry like merger, acquisition, or joint venture to enter in to the overseas market. Competition is becoming tough in every area of business and it is difficult for even big organizations to survive in the market if they fail to implement suitable business strategies to counter the competition. It is now easy for organizations to do business in any country they want because of globalization. Outsourcing and offshoring are some of the major business strategies adopted by organizations in order to exploit the overseas market. On the other hand, some organizations use merger and acquisition (M & A) based business strategies to spread their wings in to overseas countries. Gaughan (2007) explained M & A as a process in which two corporations combined together to form a single one. Moreover, only one corporation survives after the M & A while the merged corporation goes out of existence after the merger process (Gaughan, 2007, p.12). Domestic mergers and acquisitions were popular prior to globalization; however, cross border mergers were not accepted. ... This means cross border mergers have become a reality nowadays. The following chart provides an idea of the size of global merger deals between 2005 and 2007. (Mergers and acquisitions, 2008) â€Å"Cross border mergers and acquisitions (M&As) are a main vehicle for foreign direct Investment. Yet despite its quantitative importance, the determinants of cross-border M&As are still not well-understood† (Brakman et al, 2008, p.1). The benefits of cross border alliances or mergers are not limited to the companies alone. Cross border mergers and acquisitions may add more value to the companies and its stakeholders. This paper analyses the cross border merger and acquisition process and the sources of value added to the stakeholders as a result of this business strategy. Since the theories and principles with respect to cross border mergers are extensive, this paper will not discuss anything about negotiation, finance, alternatives etc. | Cross border merger and acquisition Leading f inancial consultancy Thomson Financial has said that 2006 was a mega-merger year for India: 1,164 deals valued at a total of $35.6 billion as against 1,011 deals worth $21.6 billion in 2005. After the Tata-Corus and Vodafone-Hutch mega-deals, conservative estimates by Indian analysts have pegged mergers and acquisitions (M&As), including outbound and inbound deals involving Indian firms, to reach $100 billion in 2007 (Shankar & Reddy, n. d, p.457) Companies from emerging economies like Brazil, India, Russia and China are currently engaged in acquiring some of the most prestigious companies in America, Europe and Africa (see appendix for some of the statistics of FDI inflows to the host countries as a result of cross border M& A). Recently India’s automobile manufacturer TATA acquired

Case Analysis Study Example | Topics and Well Written Essays - 1000 words - 5

Analysis - Case Study Example From the first analysis and using the x-factor tool given to evaluate different possibilities it is observed that when the sales is at 422,733 million, the cost of goods sold is directly affected at 38% million , the cost of goods sold is directly affected at 38% million , the cost of goods sold is directly affected at 38% million. On the other hand, the cost of goods sold is directly affected at 38% to be 160,639 million. For a business to operate there are operating expenses that always has to be incurred. These include rent, internet, transport, flights, advertising, airtime among other things. These factors are consolidated into operating expenses which in this scenario is directly affected by sales at 50% meaning that half of the operating expenses are geared towards sales. As the sensitivity analysis tool suggest, when cost of goods sold is 35% of sales, the company runs into a profit of 28,787million but when the cost of goods sold is at 45% of sales the company runs into a debt of 2102 million. This happens since the company is having a lot of spending to increase sales. The breaking point ratio is at 44% of sales since no debt is made and the company has 987 excess cash for the company. Therefore the company should at least invest 200 million to offset this change. One of the assumptions made in this analysis is that interest expense is directly affected by the debt the company has. The second assumption is that the debt majorly consists of loan i.e. both long term and short term loans. Another assumption is that sales do not vary at this point and that incase it does, the effect is insignificant. In addition the current assets are also deemed a factor that affects debt and excess income in the company. There is also an assumption that total assets less total liability will give a balancing figure which will either result to a debt or an income. Moreover, we