1.62P-1#12 For the Beverton-Holt model given by the DDS P₁ = 1+0.001P-1a) Find the equilibrium values algebraically. Show all your work.b) Iterations of the model starting from xo = 640 and x = 610 are graphed below. Use the graph of thepopulation sequences to determine the stability of the non-zero equilibrium value. Give a reason for youranswer.7401720-700-OND+660640-020600580+500+540+4/ 22*I #13 A Leslie matrix is given below. Fill in the blanks.[2.2 40.6 00 0.500a) There are,b)c) 2-year-old females have on average4.5 1]00000.9 0age groups of the population.% of the 1-year-olds survive into the 2-year-old age group.female offspring.#14 Let x₁ = -1.5x-1 +19 be a linear DDS.a) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed.b) Suppose the initial value is x = 76. Find the explicit solution.c) Determine the stability of the equilibrium. Give a reason for your answer.

Not: As per the guidelines we are supposed to answer only one question with maximum 3 subparts in a…

Answered: 1.62P-1 #12 For the Beverton-Holt model…

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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Sales of Orange computer have grown steadily during the past 5 years: Year Sales 1 450 2 295 3 518 4 563 5 584 6 ? My sales manager had predicted, before the business started, that year 1’s sales would be 410 computers. What are required: Develop forecasts for years 2 through 6 by using exponential smoothing with a weight of alpha = 0.30 Develop forecasts for the sales of Orange computers by using smoothing constants of 0.6 and 0.9 Help me to propose the most accurate forecast in smoothing constant, based on forecast at no.2 above. Help me to critically evaluate the effect that the smoothing constant have on the forecast for Orange computers.
5
D and 3
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c) When an exponential smoothing model is used with a smoothing parameter alpha of 0.80 and an April forecast is 150, what is the forecast on the sales in May. (Hint: F#1=aYt+(1-a)Ft), For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Arial 10pt A V ... Paragraph v2 X, ABC EX 3B HE !!! C !!!
E9.2 Lotka-Volterra Model. The following Lotka-Volterra equations are a Kolmogorov- type model of predator-prey relationships for interacting populations, e.g. hosts and parasites, yeasts and sugars, sharks and surfers. x₁ = P₁x₁ - P2X1X2 X₁ (0) = x10 x₂ = P3x2 + P1P4X1X2 X₂(0) = x20 (9.11) Parameters p₁ to p4 are constant death and birth rates; x₁ is the host population, x₂ is the par- asite population, and the product x₁x2 represents the "getting-together" of the two species. a) Find the equilibrium steady state solutions for these equations, [xeye]¹ = x₂ in terms of the parameters.
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Q4. In simulation study of a manufacturing system, both the average daily production rates obtained from simulation model (use data from day n1/2 to day n2/2, round it to nearest integer) and from the real system are given, in data set 3. - n1= 27.6. n2=97.6 - Apply t test to decide if we can assume the simulation model is a valid representation of the real system is given. - Check if we can assume the average daily production rates obtained from simulation in successive days are independent by using scatter diagram (X Y plot in excel; X axis Xi value Y axis Xi+1)

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