HW Solutions Essay Example

HW Solutions Paper The client wants to minimize risk subject to the requirement that the annual income from the investment he at least $60,000. According to Innings risk measurement system, each unit invested in the stock fund has a risk index of 8, and each unit invested in the money market fund has a risk index of 3; the higher risk index associated with the stock tune simply indicates that it is the riskier investment. Innings client has also specified that at least $300,000 be invested in the money market fund. A. Determine how many units of each fund Inns should purchase for the client to minimize the total risk index for the portfolio. . How much annual income will this investment strategy generate? . Suppose the client desires to maximize annual return. How should the funds be invested? (SAW: Chi 2, CNN 37 Inns mill) 2. Photo Chemicals produces two types of photographic developing fluids. Both products cost Photo Chemicals SSL per gallon to produce. Based on an analysis of current inventory levels and outstanding orders for the next month, Photo Chemicals management has specified that at least 30 gallons of product 1 and at least 20 gallons to product 2 must be produced during the next 2 weeks. Management has also stated that an existing inventory of highly perishable raw trial required in the production to both fluids must be used within the next 2 weeks. The current inventory of the perishable raw material is 80 pounds. While more of this raw material can be ordered if necessary, any of the current inventory that is not used within the next 2 weeks will spoil hence, the management requirement that at least 80 pounds be used in the next 2 weeks. Furthermore, it is known that product I requires I pound of this perishable raw material per gallon and product 2 requires 2 pounds of the raw material per gallon. We will write a custom essay sample on HW Solutions specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on HW Solutions specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on HW Solutions specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Since Photo Chemicals Objective is to keep its production costs at he minimum possible level, the firms management is looking for a minimum- cost production plan that uses all the 80 pounds Of perishable raw material and provides at least 30 gallons of product 1 and at least 20 gallons of product 2. What is the minimum-cost solution? (SAW: Chi 2, CNN 38 Photo ; min) 3. Does the following linear program involve infeasibility, unbounded, and/or alternative optimal solutions? Explain. Max ex. ex. ex. 4 ex. 10 -Ixi + lx28 XSL, xx0 (SAW Chi 2, CNN 40 infeasible) 4. Does the following linear program involve infeasibility, unbounded, and/or alternative optimal solutions? Explain Max Xix *lax ex. * ex. 24 ex.4 (SAW : Chi 2, CNN 41 unbounded) 5. Reconsider the ARM situation. A. Identify all the extreme points of the feasible region. B. Suppose ARM discovers away to increase the profit of solvent base to $60 per ton, Does this change the optimal solution? If so, how? C. Suppose the profit for the solvent base is SO per ton, What is the optimal solution now? Comment on any special characteristics that may exist with this profit for the solvent base. Chi 2, CNN 47) 6. Reconsider the ARM situation. Suppose that management adds the acquirement that at least 30 tons of fuel additive and at least 15 tons of solvent base must be produced. A. Graph the constraints for this revised ARM problem. What happens to the feasible region? Explain. B. If there are no feasible solutions, explain what is needed to produce 30 tons of fuel additive and 15 tons of solvent base. : Chi 2, CNN 48) 7. Reconsider the Keelson Sporting Equipment Inc example. Discuss the concepts of infeasibility, unbounded solution, and alternative optimal solutions as they occur in each tooth following situations: a. Management has requested that the production of baseball gloves (regular del plus catchers model) be such that the total number of gloves produced is at least 750. That is, Xix +ex. 750 b. The original problem has to be solved again because the profit contribution for the regular model is adjusted downward to $4 per glove. C. What would have to happen for this problem to be unbounded? : Chi 2, CNN 49) . Recall the Inns Investments problem. Letting XSL = units purchased in the stock fund xx units purchased in the money market fund leads to the following formulation: Min ex. + ex. xx + xx Funds available SKI ex. 60,000 Annual income xx 3,000 Units in money market Obtain and use the computer solution to answer the following: a. What is the optimal solution, and what is the minimum total risk? B. Specify the range of optimality for the objective function coefficients. . How much annual income will be earned by the portfolio? D. What is the rate of return for the portfolio? E. What is the dual price for the funds available constraint? F. What is the marginal rate of return on extra funds added to the portfolio? (SAW: Chi 3, CNN 16 TMS min) 9. Refer to the Inns Investments example and the computer output from the TMS analysis: a. Suppose the risk index for the stock fund (the value of CLC) increases from its current value of 8 to 12. How does the optimal solution change, if at all? Suppose the risk index for the money market fund (the value of co) increases from its current value of 3 to 3. 5. How does the optimal solution change, if at all? C. Suppose CLC increases to 12 and co increases to 3. 3. How does the optimal solution change, if at all? (SAW: Chi 3, CNN 17) 10. Solve the following linear program using the graphical approach: Maxima ex. ex. 4 ex. 20 31 + 72 put the linear program in tableau form, and solve using the simplex method, Show the sequence ot extreme points generated by the simplex method on your graph, (ASW: Ch5, Qn 7 -simplex max) 11. Recall the problem for Par Inc (Book Section 2. 1). The mathematical model for this problem, is restated below: Max xx + ex. [pick]XSL * Ski 630 Cutting and dyeing [apical + [pick]xx 600 Sewing Xix * [pick]k 708 Finishing [apical * [pickax 135 Inspection and packaging where XSL number of standard bags produced xx = number of deluxe bags produced a, use the simplex method to determine how many bags of each model Par should manufacture? B. What is the profit Par can earn with these reduction quantities?

Anaerobic reaction of yeast Essay Example

Anaerobic reaction of yeast Essay Example Anaerobic reaction of yeast Paper Anaerobic reaction of yeast Paper I am going to investigate the anaerobic reaction of Yeast. Anaerobic respiration requires: Glucose == Co2+Alcohol. Whilst Aerobic respiration, which we use to breathe, requires: Glucose + Oxygen == Co2+H20+ heat energy. To observe and record results of this reaction I will measure the amount of Co2 this experiment produces. There are a number of variables I need to consider beforehand that could dramatically affect my experiment. I have also made predictions where appropriate Temperature This can make the rate of reaction speed up or slow down. It will noticeably slow down the reaction when the water is cooled. But the Yeast will speed up until a point where it cannot survive anymore. I would expect my graph to show the Yeast speeding up and then dying. As I heat the water, the particles start to move faster, this makes them collide at a faster speed, speeding up the rate of reaction. Amount of Yeast I will keep the amount at a constant by using a test-tube to measure out an exact amount. If I added too much yeast it would be more too react with the Co2, this would slow down the particles and they would all be used up. As the amount of yeast increases there is more particles to collide with, and this would also use up all the glucose. Osmosis (osmosis occurs when glucose is added) The diffusion of solvent particles through a selectively permeable membrane from a region of high solvent concentration to a region of lower solvent concentration. These membranes have tiny pores, which allow rapid passage of small water particles, but restrict the passage of larger solute particles. Since the membrane is selectively permeable, osmosis is important in the passage of water into and out of cells and organisms, the speed depends on osmosis pressure. I predict that the more heat that is applied to this the faster this reaction happens. I have chosen to investigate the variable of temperature and test it from temperatures from 20-80 degrees. I think seriously about my prediction of the speeding up and slowing down reactions, temperature can cause. Glucose When we add more glucose there are more particles to collide with at first, then the solution on the outside of the yeast becomes concentrated so water moves out of yeast by osmosis and the yeast dehydrates. Water If the mount of water increases effectively it will reduce the concentration so there are less collisions. Safety I will wear a lab coat and be really careful with any hot waters that I will handle. Apparatus The apparatus that I will use will be: 1 beaker, 1trough, 1 kettle (to obtain water), 1 measuring tube, 1 thermometer and 1 tube and bung. For each experiment I will use 10cm3 of the stock solution. The solution is 20g of yeast, 20g glucose and 200cm3 of water. Method I will: ? Fill the water bath with water that has been put to a certain temperature ? Get a boiling tube and put 10cm3 of solution in it ? Put a bung and pipe in the end ? fill the beaker with water to the right temperature ? Fill graduated tube water ? Put the tube into the test-tube ? Put the boiling tube in the beaker ? Leave for 3mins to get to temperature ? Time for 5mins ? Measure amount of Co2 produced. ?Then I will alter to a different temperature in this case my temperature is altering 10 each time so I will use the kettle to alter this temperature making sure it is the right temperature by using a thermometer. ?I will use the same amount of yeast for each run to eliminate solution variation. As I am obtaining these results, I will make sure I use the correct amount of ingredients and make sure I keep my variables (i. e. amount of yeast the same throughout experiment) to what I have predicted they should stay at in experiment. I will record my results in a table as underneath, but I may need to repeat some results, if they look out of place when compared to my results or conclusion. Temp Time Run1 (cm) Run2 (cm) Average (cm) 20 5mins 30 5mins 40 5mins 50 5mins 60 5mins 70 5mins 80 5mins Obtaining evidence After I conducting my experiment to record my results, I found that out that the yeast speeded up from 30 to 50 but then slowly started to deplete from 50-70 and then it died a Analyses As I can see from my graph, the amount of Co2 being produced starts to increase till about 50 degrees where it reaches it reaches its peak after the yeast starts to die. As explained in my plan under variables and prediction I have discovered that when I heat the yeast it speeds up until it gets to a point where the particles starts to die off because of the temperature gets too hot for the enzymes to function and breath properly so they can not work at this temperature which slowly kills them. Because enzymes cannot function past a certain temperature (past 50 degrees in this case) but they do speed up when heated to a controlled amount under this temperature. My prediction is backed up by the evidence that I have gained from my Obtaining evidence. Take heat for example my chosen variable; as predicted in planning it did increase the speed of the reaction, when I heated the yeast e. g. From 1 to 5. 5 in just altering it by 10 degrees from 30 to 40. Evaluation I think the procedure I used was a reliable and efficient method in testing for Co2 in the anaerobic respiration of yeast. The results matched my prediction and I think it was right to repeat each test twice to pin point any rogue result if there is one. I think that I can form the conclusion that the yeast can only perform anaerobic respiration past a certain temperature (20) and under a certain temperature (80). As temperature was my chosen variable to alter and measure this is what I have discovered. I think if I could extend my study of this I could make changes to keep in my experiment set up to keep nearly all my variables at a constant, e. g. I could use a more reliable source of heating the water other than a kettle, this would greatly improve the reliability of the experiment, I may get more accurate and even better results than I have now by taking recordings of the Co2 in the yeast every 5 degrees, this would give me a better indication of whether the results are on course to being accurate and I could have a better chance at pin pointing when Co2 stops being produced. I think I experiment was a success I have spotted when the yeast stops anaerobically reacting and when it starts anaerobically reacting. I have found out that the enzymes in the yeast start to rapidly speed up when they are heated but too much heat will kill them as we have seen in my experiment.

Background to Desired Work Area (Disaster Management and Charity Essay

Background to Desired Work Area (Disaster Management and Charity Organizations) - Essay Example 13 of 2005 passed by the Parliament of Sri Lanka† (Ministry of Disaster Management, 2011). Most often than not, disaster management organizations are more focused on disaster prevention rather than reducing the harm when disasters strike. This is because as it is said, prevention is better than cure. Charity organizations work in much the same way as disaster management organizations and their duties are actually interrelated. This means that charity organizations need disaster management organizations and disaster management organizations need charity organizations in the jurisdictions of their responsibilities. It is worth noting that disaster management and charity organizations may be handled by non-governmental organization and in most cases, these organizations are non-profit making. Works therefore work as volunteers. On the there hand, there are some organizations that employee staff and pay them duly (Inland Revenue Department, 2011). Because of this, the staffs are al ways required to meet certain basic qualifications. The latter scenario is what applies in this personal development plan. Why I desire chosen recruiters There is a notion that people seek employment for financial gains. But seeking employment should not be all about financial gains. It is very important that a person has a lot of passion for the desired job he or she seeks. With such passion, one is able to develop a lot love and commitment towards work and by extension help in increasing productivity. The development of passion for a particular job offer does not also come unaided. With my personal experience, apart from the fact that my academic area of study relates to disaster management, I have a lot of passion for disaster management and charity organization because I regard the act of helping others as a social responsibility. I have a philosophy that we all are each person’s keep and so in my own little way, I have to take up a career or job that will in itself help me to offer help and assistance to other people. Even more, I am highly for the concept that prevention is better than cure. For this reason, I want to be part of a team that will be tasked with finding ways of helping in the reduction of disaster risks in society. Overall Tasks and Responsibilities The specific recruiters in question are Deloitte & Touche LLP's ("Deloitte & Touche's") Audit and Enterprise Risk Services. The specific position being offered is Senior Manager: Business Continuity Management & Disaster Recovery. The potential candidate is supposed to meet certain skills and knowledge requirements. These skills and knowledge requirements have been summed into the overall tasks and responsibilities of the potential candidate. Highlighted areas of tasks and responsibilities are given as Identification and evaluation of business and technology risks. This task requires the senior manager to have insightful knowledge and skill in the use and operation of modern technology a nd risk assessment techniques. Assisting with the selection and tailoring of approaches, methods and tools to support service offering or industry projects. This call for the skill and knowledge in visionary planning that will help in the institutionalization of methods and approaches that are directed towards the overall growth of the