1 At the beginning of year 1, Sunco Oil owns i barrels ofoil reserves. During year t(t = 1, 2, ..., 10), the followingevents occur in the order listed: (1) Sunco extracts andrefines x barrels of oil reserves and incurs a cost c(x): (2)Sunco sells year t's extracted and refined oil at a price of prdollars per barrel; and (3) exploration for new reservesresults in a discovery of b, barrels of new reserves.Sunco wants to maximize sales revenues less costs overthe next 10 years. Formulate a dynamic programmingrecursion that will help Sunco accomplish its goal. If Suncofelt that cash flows in later years should be discounted, howshould the formulation be modified?

According to the given data, first determine the suppositions of the terms mentioned in the problem…

Answered: 1 At the beginning of year 1, Sunco Oil…

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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.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
150 30 0 www ii) 14 i) 21 ii) 28 days 35 42 (a) The Figure above shows simulated data on the number of people (in thousands) who use public transport every day in Melbourne. i) 49 56 Does this time series exhibit a time trend? If there is a time trend, explain what could explain this trend. (b) Consider the following estimated model of industrial production (Y), which uses quarterly data from 2001q1 to 2022q4 and includes a constant, a time trend (t) and 3 seasonal dummy variables (Q1, Q2, and Q3) in the equation. Does this time series exhibit seasonality? What statistical test could you perform to test whether there is seasonality? If there is seasonality, explain what could explain this seasonal pattern. log(Y) = 6.01 +0.05t -0.0201 -0.03Q2 -0.0103 Interpret the estimated coefficients for the time trend and three seasonal dummies. Based on the estimated equation above, what would be the forecast for industrial production for the first quarter of 2024?
5. (i) Show that the chance that an exponentially distributed variable takes on a value below its mean is more than 60% and that the chance that the value will be below half of the mean is almost 40%. (ii) When are exponentially distributed interarrival (service) times reasonable / unrea- sonable for a queuing system?
The production of jute goods (in tons) in different days of first and second half of 10 the year are shown below: Class 2-2.5 2.5-3.0 3.0-3.5 3.5-4.0 4.0-4.5 interval of production No. of 12 48 70 35 15 days in the first half of the year No. of 5 38 80 50 days in the second half of the year In which part of the year the production level is homogeneous?
A9. If the total benefit function is B = 192M – 4M^2, the total damage function is D = A2, ⍺ = 0.5 and there is no discounting where: M is the level of emissions. A is the stock of the pollutant. ⍺ is the linear decay rate of A a) What are the steady-state levels of M and A? b) Assuming now that we have some discounting and r = 0.2, where r is the social consumption discount rate. What are the new steady state levels of M and A?
2 The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 250 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.) cfs
Need assistance with question 2 iv, v. I already got help with i, ii, iii
Consider the discrete time model for population growth: Na+1 = Ne"(1-N,) with r > 0. (a) Find all steady states. (b) Discuss the stability of each steady state.
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