*A communications satellite consists of the following components in series: Component Probability Shape Parameter Scale Parameter Distribution Power unit Weibull 2.7 43,800 hr. Receiver Weibull 1.4 75,000 hr. Transmitter Weibull 1.8 68,000 hr. Antennae Exponential MTTF = 100,000 hr. %D * Find R(2 years) of the system
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- A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?An oil explorer must decide whether to drill on a site before her option expires or to abandon her rights to the site. Drilling a well costs $100,000. If oil is struck, the explorer will sell and make a $500,000 profit. The explorer can hire a geologist to take a seismic sounding of the site at the cost of $10,000. Such soundings reveal, with certainty, whether the geophysical substructure of the land is of type A, type B or Type C, where each type has a different degree of favorability for the existence of oil. From experience, the probability that a certain substructure will occur, given that oil exists, is P(type A|oil) = 14/28 P(type B|oil) = 9/28 P(type C|oil) = 5/28. Further, the following probabilities for substructures at this site are P(type A) = 0.20 P(type B) = 0.30 P(type C) = 0.50 given that P(oil) = 0.28. Perform a decision tree analysis. Determine the EVPI and EVE.
- It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?A manufacturer produces a toy sold during the summer season at a unit production cost of $5. The manufacturer sells the toy to a retailer, who then sells the product for $35 to the end customer. The manufacturer and retailer have agreed upon a revenue sharing contract that coordinates the supply chain and optimizes the expected profit of the entire supply chain (i.e., the retailer and the manufacturer), which is expected to be $4,000 over the summer selling season. If the wholesale price of the revenue sharing contract is $2, what is the manufacturer’s expected profit? PLEASE SHOW CALCULATIONSA bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapse from when the customer enters the queue until he/she reaches the teller’s window. In addition, suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 pm lunch period and data were collected at random at these branches and recorded below; No of Customers Commercial dist branch (time) Residential area branch (time) 1 – 5 3 3 6 - 10 5 6 11 - 15 8 5 16 – 20 8 3 21 - 25 4 2 Required Which of the branches has a relatively better mean waiting time? Which shop can be surer of meeting the mean waiting time at the two branches? Assuming…
- Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston’s defective rate to be 10%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use…Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.ABC enters into a contract to help DEF, a ramen restaurantto design a market strategy to compete with DEF. The contract spans twelve month. DEF will pay P80,000 at the beginning of each month. At the end of the contract, ABC either will give DEF a refund of P25,000 or will be entitled to an additional P15,000 bonus, depending on whether sales at DEF at year- end increased to a target level. At the inception of the contract , ABC estimates a 30% chance that it will not earn the bonus and calculates the contract price based on the expected value of future payments to be received. At the start of the fifth month, circumstances change and ABC revise the probability that it will earn the bonus to 80% What is the adjustment to the service revenue ?
- The dove population on Honeydoom farms has become slightly invasive, doves have far out-competed the endangered Emerald Sparrows in the area – causing their near. The local animal control board would like to begin culling the dove population in order to ensure the survival of the Emerald Sparrow, but the control board will cease any culling when the population of sparrows and doves are equivalent, they will begin culling in one year. You believe that the current trends in population suggest that an equal dove to sparrow ratio can be expected in a fairly short period. You are asked for proof. Population growth can be modeled using the equation n(t)= n0e^rt where n0 is the initial population, is the rate of growth, and t is time in decades. Let us suppose we have a population of sparrows ns(t), with an initial population of ns0 and a population of doves nd(t), initial population of nd0, It has been observed that the doves decrease at a rate of 200 per year and the sparrows increase at…Given that a zone has 350 households with access to cars and 295 households without access to cars and the average trip generation rates for each group are 4.0 and 2.0 trips per day, respectively. Assuming that in the future, households will have similar distribution with access and without access to a car, as per the existing situation. There will be an addition of 650 households with a similar distribution of car ownership. Find the growth factor and future trips from that zone.You have $10,000 to invest, and three different funds from which to choose. The municipal bond fund has a 7% return, the local bank's CDs have an 8% return, and the high‐risk account has an expected (hoped‐for) 12% return. To minimize risk, you decide not to invest any more than $2,000 in the high‐risk account. For tax reasons, you need to invest at least three times as much in the municipal bonds as in the bank CDs. Assuming the year‐end yields are as expected, what are the optimal investment amounts? a. Choose the unknowns, i.e. variables. State what they are so you know exactly what you are looking for.b. Write your OPTIMIZATION EQUATION. c. Write the constraints as a system of inequalities, usually there are several.d. Graph the system and identify the feasibility region. e. Identify the corners of the feasibility region, which will be the ordered pairs that you test in your optimization equation.f. Calculate the value of the optimization equation using each of the ordered pairs…
