1 QUESTION 25Given the first and second derivatives of a utility function, f(x), for a decision maker:-3f(x) =%3D(x +2)?f'(x) =(x + 2)3If we know that x > 0, which of the following statements is most correct?O The decision maker is risk seekingO The decision maker could be risk averse, risk seeking, or risk neutral depending on the value of x.O The decision maker is risk averseO The decision maker is risk neutral QUESTION 25Gven he fist end second derivatives faty function, ba for a decision makero tha whch ef the fang taments ismet cerretO The dedn akeri rakeekingTO The decion maker c e viakaver rik seeking o rsk nautral depedng en the vale ofO The dedsion maker risk everseO The desen maker i neutralQUESTION 2The probaity har Cempany Awcene in under tget en a partlar ret and that Company cemen under bgt en that me prapeti Caloulantheprebabity that the prt w come inunder b eay sthotheCompeny A and Company ON

According to the given function f'(x) and f"(x) and given the condition x is greater than zero we…

Answered: QUESTION 25 Given the first and second…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question 4(A)A and C mall is a busy centre for residents in East Legon and itssourrounding community. Assume that 2 customers arrive every 12 minutesand 3 customers are served every 15 minutes and that currently, there is onlyone cashier.a) Determine the average waiting time in minutes before service begins. b) Advice the management the proportion of the time that a customer hasto wait. (B). Management perceives that the waiting time computed in (ii) above isnot acceptable and is faced with two options.Management can either employ an assistant for the cashier or open a secondcash machine.The former, if implemented, will enable 4 requests to be served every 15minutes and the assistant will receive a monthly salary of GH₵160. Thelatter, if implemented will improve the arrival rate to 1 customer every 12minutes.However, it requires an initial capital outlay of GH₵3000 and the cashierwho will operate the cash machine will receive a monthly salary of GH₵250.The shop avoids a loss in…
ch 11. 4 Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team members rotate from time to time. Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there an interaction?
Question 3 A researcher is proposing that exercise makes a person moreenergized as a result they require less sleep. He carries out a surveyon the number of hours of exercise per week and the average hoursof sleep needed per night in order to feel well-rested. The results areshown below for the 8 participants.Hours of exercise/week 4 5.2 2 3.4 8 10 1.5 6Average hours of sleepneeded/night8.6 8.1 9 8.5 7.4 6.8 9.4 7.7�� Calculate and interpret the regression line for the data.
iven group data: Gp l1 l2 . f . 1 20 30 7 2 30 40 9 . Find: Midquartile 3 40 50 12 4 50 60 15 5 60 70 5 6 . 70 80 4
Problem 3: car-planes and city size. Consider a regional economy with 12 million workers and an urban utility curve of u(n) = 15 + 12n − 2n2, where n is the number of workers in millions. Initially the region has four cities, each of the same size. Suppose city A introduces carplanes to replace regular cars for commuting and its urban utility function is u(n) = 15 + 12n − n2. Predict the effect of the carplane on the equilibrium distribution of population between cities the equilibrium utility level and regional utility.
Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
QUESTION 3 Consider the basic food items consumed by a rural household: Food item Consumption Price (N$) June 2021 July 2021 June 2021 July 2021 Bread(loaves) 25 26 10.30 10.70 Cooking oil(litres) 5 6 45.00 59.40 Rice(kg) 10 8 34.50 36.20 Meat(kg) 15 16 88.90 92.20 Required to: a)Which food item has had the lowest relative quantity of consumption increase between the months of June and July? b) Which food item has had the lowest relative price increase between the months Juneand July 2021? c) Calculate and interpret a Paasche quantity index for July 2021.
Question 4 Three qualities of second-hand bicycles are available in equal numbers: high, medium, and low. There are many buyers and sellers, who value each quality of the bike differently. The value that each agent assigns to each quality of the bike is given below. Quality High Medium Low Buyer’s value 100 (high), 65 (medium), 30 (low) Seller’s value 75 (high), 60(medium) , 45 (low) (i) What is the efficient outcome in this market? Equivalently, which types of bikes should change their owners to maximise the social welfare? Suppose that the buyers do not know the quality of any particular bicycle for sale, but the sellers do know the quality of the bike they sell. The price at which a bike is traded is determined by demand and supply. Each buyer wants at most one bicycle. (ii) Assuming that each buyer purchases a bike only if its expected quality is higher than the price, and each seller is willing to sell their bike only if the price exceeds their valuation, what is the…
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Question 3 (4 Marks) Five students taking a Business Statistics module at MANCOSA were asked to provide an example of a variable they have encountered in their day-to-day life. Their responses are as follows: Student Variable Lungani The body temperature of a patient diagnosed with COVID-19 Nsika The price of a technology company stock on the NASDAQ Thembekile The age of his bull mastiff Mduduzi The number of female students in Mduduzi’s Python class Which student/s provided a continuous true

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