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- A project has an uncertain first cost and useful life. What is the expected value for each variable? First Cost $300,000 400,000 600,000 Probability 0.2 0.5 0.3 Useful Life 4 5 6 0.3 0.5 0.2 ProbabilityThe demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 0.20 0.30 0.35 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (indoitars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units?SHOW IN EXCEL SHOW EACH PROCESS IN EXCEL Gasoline EV Purchase Cost $50,000 $80,000 Annual - Maintenance $5,000 $2,500 Annual Fuel $7,500 $3,000 Service Life Probability Service Life Probability 55% 52% 6 10% 65% 7 25% 7 10% 8 35 % 8 25% 9 20% 9 50 % 10 5 % 10 8% a) (5 Points) What is the expected value of the present worth and expected value of the standard deviation of each option? b) (5 Points) Which option should be chosen, and why? c) (5 Points) If the company' s MARR is 20%, which option would they choose and why? d) (5 Points) What value of the MARR makes the company indifferent between choosing gasoline or electric vehicles?
- Question.9. From the following information, ascertain which project is more Project A Project B Cash Inflows Probability Cash Inflows Probability 0.2 2,000 2,000 0.1 0.3 4,000 4,000 0.4 0.3 6,000 6,000 0.4 8,000 0.2 8,000 0.1Spring 2024 An energy efficiency project has a first cost of $400,000, a life of 10 years, and no salvage value. Assume that the interest rate is 10%. The most likely value for annual savings is $50,000. The optimistic value for annual savings is $80,000 with a probability of 0.2. The pessimistic value is $40,000 with a probability of 0.25. a. What is the expected annual savings and the expected PW? b. Compute the PW for the pessimistic, most likely, and optimistic estimates of the annual savings. What is the expected PW? Spring 2024 1. An energy efficiency project has a first cost of $400,000, a life of 10 years, and no salvage value. Assume that the interest rate is 10%. The most likely value for annual savings is $50,000. The optimistic value for annual savings is $80,000 with a probability of 0.2. The pessimistic value is $40,000 with a probability of 0.25. What is the expected annual savings and the expected PW? b. Compute the PW for the pessimistic, most likely, and optimistic…Spring 2024 An energy efficiency project has a first cost of $400,000, a life of 10 years, and no salvage value. Assume that the interest rate is 10%. The most likely value for annual savings is $50,000. The optimistic value for annual savings is $80,000 with a probability of 0.2. The pessimistic value is $40,000 with a probability of 0.25. a. What is the expected annual savings and the expected PW? b. Compute the PW for the pessimistic, most likely, and optimistic estimates of the annual savings. What is the expected PW?
- 1. It will costs the Philippines P2,500,000 to drill a natural gas well. Operating expenses will be 10% of therevenue from the sale of natural gas from this particular well. If found, natural gas from a highly productive well will amount to 260,000 cubic feet per day. The probability of locating such a productive well, however is about 10%. If natural gas sells for P80 per thousand cubic feet, what is the EMVPw of profit to the Philippine governement? The life of the well is 10 years and MARR is 15% per year.Determine whether or not to stock a large supply of steel. There is uncertainty in the price of steel. Based on past history the following data are available Price (future) Prob (Price) PW if stocked PW if not stocked High 0.3 100000 0 Medium 0.5 -10000 0 Low 0.2 -50000 0 What is the probability that stocking steel will result in a negative present worth (PW)?Answer for (b) & (c) Please Airtight Manufacturing produces plastic cases that utility companies buy to protect electronic components on utility poles from weather damage. (a) The protective case currently used by utility companies has a 0.045 probability of cracking or breaking in any given year. When a protective case cracks or breaks, the utility company incurs a $800 expense to replace the case. What is the expected value of the utility company’s repair costs per protective case? Show your work. (b) Airtight has recently developed a stronger material for its protective case. The use of this stronger material reduces the case’s probability of cracking or breaking, and serves as a differentiating factor for estimating this product’s VTC. Use the product-needs matrix described in the course to classify this differentiating factor. What type of product characteristic is it? What type of customer need does it satisfy? Justify your answers. (c) If this stronger material enables…
- Calculate the expected flow rate (barrels per day) for each oil well using the estimated probabilities. Estimated Flow, bbl/Day 100 200 300 400 Probability of Flow North well 0.15 0.75 0.10 0.0 East well 0.35 0.15 0.45 0.05(ii) Jack, initially, has a wealth (W) equal to 2000 and will lose 1200 if his investment in a risky bond is unsuccessful and will gain 1200 if it is successful. The probability that the investment is successful is 0.75 and his utility function is given by U(W) = W^0.5. (a) Is this bond a fair bond? (b) What is Jack;s expected utility? (c) Suppose, there is a secured non-risky. gold bond. How much return should this gold bond offer, so that Jack chooses the gold bond instead of the risky bond.A 40-year-old man in the U.S. has a 0.244% risk of dying during the next year. An insurance company charges $300 per year for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance? Round your answer to the nearest dollar. Expected Value: S-55 Question Help: Video Submit Question Question 5 x for the year Message instructor Based on historical data, an insurance company estimates that a particular customer has a 2.6% likelihood of having an accident in the next year, with the average insurance payout being $2700. If the company charges this customer an annual premium of $180, what is the company's expected value of this insurance policy? S Question Help: Message instructor