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- Your firm uses a continuous review system and operates52 weeks per year. One of the SKUs has the followingcharacteristics.Demand 1D2 = 20,000 units>yearOrdering cost 1S2 = $40>orderHolding cost 1H2 = $2>unit>yearLead time 1L2 = 2 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation ofweekly demand of 100 units.Current on-hand inventory is 1,040 units, with no scheduledreceipts and no backorders.a. Calculate the item’s EOQ. What is the average time, inweeks, between orders?b. Find the safety stock and reorder point that provide a95 percent cycle-service level c. For these policies, what are the annual costs of (i) holdingthe cycle inventory and (ii) placing orders?d. A withdrawal of 15 units just occurred. Is it time to reor-der? If so, how much should be ordered?Your firm has discovered a cheap and efficient technology of turning used plasticbottles and bags into various products. You limit your attention to the following twoproduction opportunities: you can produce plastic utensils or helmets forBoilermakers' fans. In the first case your estimated annual revenue is K25,000, whilethe production will cost you K8,000. However, in your second option, you expect tosell 2000 helmets every year at K10 each, and the average total cost of every helmetwill be K2.a. Which production opportunity will you choose and why? b. If you do so, what will be your economic profit if your answer is lower explain technically why it is so?2.4.1 Total Cost in Material SelectionIn many cases, economic selection among materials cannot be based solely on the costs ofmaterials. Frequently, a change in materials will affect the design and processing costs, and shipping costsmay also be altered.Care should be taken in making economic selections between materials to ensure that anydifferences in shipping costs, yields, or resulting scrap are taken into account. Commonly, alternativematerials do not come in the same stock sizes, such as sheet sizes and bar lengths. This may considerablyaffect the yield obtained from a given weight of material. Similarly, the resulting scrap may differ forvarious materials.In addition to deciding what material a product should be made of, there are often alternativemethods or machines that can be used to produce the product, which, in turn, can impact processingcosts. What could be the factors affecting the cost of materials that one should consider?
- The table below contains the average returns, standard deviation of returns and correlation of returns with US indexfor different countries. All data are in US dollar terms. The US T-Bill rate is 3%. Determine which of thesecountries are suitable for a US based investor to diversifv into. Show the necessarv calculations US T-Bill Rate %3Please show work on Excel. A new engineer is evaluating whether to use a larger diameter pipe for a water line. The pipe will cost $327,089 more initially but will reduce pumping costs. The optimistic, most likely, and pessimistic projections for annual savings are $30,000, $20,000, and $5000, with respective probabilities of 20%, 50%, and 30%. The interest rate is most likely to be 7%, but is equally likely to be 6% or 8%, and the water line should have a life of 40 years. Find the expected annual savings and the expected interest rate. Determine the Expected PW based on these. Hint: Based on the different saving and their probabilities, find the expected value of savings. Then find the expected value of the interest rate (each option has equal probability). Then find the PW using these values.During your first month as an employee at Engro. Industries (a large drill-bit manufacturer),you are asked to evaluate alternatives for producing a newly designed drill bit on a turningmachine. Your boss’ memorandum to you has practically no information about what thealternatives are and what criteria should be used. The same task was posed to a previousemployee who could not finish the analysis, but she has given you the following information:An old turning machine valued at $350,000 exists (in the warehouse) that can be modified forthe new drill bit. The in-house technicians have given an estimate of $40,000 to modify thismachine, and they assure you that they will have the machine ready before the projected startdate (although they have never done any modifications of this type). It is hoped that the oldturning machine will be able to meet production requirements at full capacity. An outsidecompany, Descon Engg. Inc., made the machine seven years ago and can easily do the…
- If given the following equations AVC = 10-0.03q+0.00005q^2 ATC = 10-0.03q+0.00005q^2 +100/q and MC = 10-0.06q+0.00015q^2 Solve AVC - MC = 0 for qWorldTrans is considering a project that has an up-front cost at t = 0 of $2,700. (All dollars in this problem are in thousands.) The project's subsequent cash flows are critically dependent on whether a competitor's product is approved by the Food and Drug Administration. If the FDA rejects the competitive product, WorldTrans's product will have high sales and cash flows, but if the competitive product is approved, that will negatively impact WorldTrans. There is a 60% chance that the competitive product will be rejected, in which case WorldTrans's expected cash flows will be $750 at the end of each of the next seven years (t = 1 to 7). There is a 40% chance that the competitor's product will be approved, in which case the expected cash flows will be only $50 at the end of each of the next seven years (t = 1 to 7). WorldTrans will know for sure one year from today whether the competitor's product has been approved. WorldTrans is considering whether to make the investment today or to…In the design of a jet engine part, the designer has a choice ofspecifying either an aluminium alloy casting or a steel casting. Either materialwill provide equal service, but the aluminium casting will weigh 1.2 kg ascompared with 1.35 kg for the steel casting.The aluminium can be cast for $. 80.00 per kg. and the steel one for$ 35.00 per kg. The cost of machining per unit is $. 150.00 for aluminiumand $. 170.00 for steel. Every kilogram of excess weight is associated witha penalty of $. 1,300 due to increased fuel consumption. Cost of using aluminium metal for the jet engine part?
- Given problem: The ore of a gold mine in the Mountain Province contains, on average, 0.5 grams of gold per ton. One method of processing costs $1,650 per ton and recovers 93% of the gold, while another method costs only $1,500 per ton and recovers 81% of the gold. If gold can be sold at $8,500 per gram, which method is better, and by how much? Consider the income and cost per ton of ore. Solve for the net receipt of each method. *Round off answer in 2 decimal places. Thank youCanuck Oil Corporation is a Canadian crude oil producer. Today is July 15. Canuck’s estimated oil production level in three months’ time will be 100,000 barrels. The current spot price for crude oil is US$90.29 per barrel. Between January 15 and now, crude oil prices have fluctuated from a high of $110.82 to a low of $90.56. Due to the unstable nature of crude oil prices, Canuck Oil’s financial manager, Mr. Petro Stark would like to hedge the crude price risk using crude oil futures contracts. Petro found the following information on futures contracts expiring in September, October, and November: Delivery month Last Change Prior settlement Open High Low Volume September 90.79 –0.58 91.37 91.24 91.44 89.76 9067 October 92.18 –0.48 92.66 92.89 95.22 89.30 5229 November 90.13 –0.35 90.48 90.22 90.55 89.08 1685 Contract size: 1,000 barrels Contract currency: US dollar September expiry: September 16 October…A European consortium has spent a considerable amount of time andmoney developing a new supersonic aircraft. The aircraft gets high markson all performance measures except noise. In fact, because of the noise,the consortium’s management is concerned that the U.S. government mayimpose restrictions on some of the American airports where the aircraftcan land. Management judges a 50–50 chance that there will be somerestrictions. Without restrictions, management estimates its (presentdiscounted) profit at $125 million; with restrictions, its profit would beonly $25 million. Management must decide now, before knowing thegovernment’s decision, whether to redesign parts of the aircraft to solvethe noise problem. The cost of the redesign program is $25 million. Thereis a .6 chance that the redesign program will solve the noise problem (inwhich case, full landing rights are a certainty) and a .4 chance it will fail. Using a decision tree, determine the consortium’s best course ofaction, assuming…