equipment proposal from two vendors A and B have been received from a local company. The quality of these equipment have been varying and consequently the cost of manufacturing the product using these two different equipment
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An equipment proposal from two vendors A and B have been received from a local company. The quality of these equipment have been varying and consequently the cost of manufacturing the product using these two different equipment has also varied. The varying costs based on the probabilities of defects are given in table below.
Determine the better vendor.
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- Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?The frequency of breakdown of a machine per month is shown in the table. The cost ofa breakdown is $1,000 and the cost of preventive maintenance is $1,250 per month. Ifpreventive maintenance is performed, the probability of a machine breakdown is negligible. Should the manager use preventive maintenance, or would it be cheaper to repair themachine when it breaks down?Number of breakdowns 0 1 2 3Frequency of occurrence .20 .30 .40 .10The 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?
- The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?They need to be probabilities and there should be six answer 1-a-b etc8) Three decision makers have assessed utilities for the problem whose payoff table appearsbelow.s1 s2 s3d1 500 100 -400d2 200 150 100d3 -100 200 300probability.2 .6 .2Indifference Probability for PersonPayoff A B C300 .95 .68 .45200 .94 .64 .32150 .91 .62 .28100 .89 .60 .22-100 .75 .45 .10a. Plot the utility function for each decision maker.b. Characterize each decision maker's attitude toward risk.c. Which decision will each person prefer?
- Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity4. What is the annual demand for the boxes of candles?5. How much is the carrying cost of one box of candles for one year?6. What is the economic order quantity for the boxes of candles? Round UP.7. How many orders will be made per year on average if the economic order quantity was followed? Round off totwo decimal places.8. How much…Agamble based on a fair coin toss which pays $6.65 if the coin lands heads and $9.85 if the coin lands tails. (fair coin toss i.e. probability of heads is 50% = probability of tails is 50%) EV $8.25 E[U(w)) UJEV] >_U(EV) Low EU = U(EV) Neutral EU =_U(EV) Neutral u(w) w" 624.81 $ 561.51 u(w) 125+w 136.25 $ 136.25 u(w) Sin(w) 10.50 $ 10.50 Arisk agent, whose utility is given by U(w) = 5In(W) and initial wealth is $5,000 is faced with a potential loss of $3,800 with a probability of p=0.17. What is the maximum premium they would be willing to pay to protect themselves against this loss? risk appetite (wייט EV intial wealth EU 41.37 5,000 U(w-y) = E[U(w)] 5In(5,000-y)=B17 find y y= $ 1,077.13 If you are given the opportunity to buy insurance for $500 alt y= would you take the insurance? Utility functions w>0 u(w) w-9w u(w) 5In(w) u'(w) u'(w) u"(w) u"(w) A'(w) :>,,,,<=0 show your work A(w) Alw) A'(w) A'(w) R(w) R(w) R'(w) R'(w)
- 2. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000. a. What percent of the sales representatives earn more than $42,000 per year? b. What percent of the sales representatives earn between $32,000 and $42,000? c. What percent of the sales representatives earn between $32,000 and $35,000?The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.Only typed answer and please don't use chatgpt otherwise I downvote the answer Q = 12S1/2P-2. Q is number of newspapers sold and S is number of inches of news printed. The cost of reporting S units is $10S. The cost of printing one copy of the newspaper is $0.08, so the total cost of Q = $10S + .08Q. How many copies will be sold at the profit maximizing price when S = 100? Round (up) to the nearest newspaper.