p[lease help show the step and the asnwer for this prbolem Problem 10 (Sec 11.4) Consider the following modeldPdt=r(M-P)Pwhere M represents a carrying capacity. Suppose that a healthy population ofsome species is growing in a limited environment and that the current populationPo is fairly close to the carrying capacity Mo. You might imagine a populationof fish living in a freshwater lake in a wilderness area. Suddenly, a catastrophesuch as the Mount St. Helens volcanic eruption contaminates the lake anddestroys a significant part of the food and oxygen on which the fish depend.The result is a new environment with a carrying capacity M₁ considerably lessthan M。 and, in fact, less than the current population Po. Starting at sometime before the catastrophe, sketch "before-and-after" curve that shows howthe fish population responds to the change in the environment.

Here's the sketch illustrating the population's response to the environmental catastrophe:Before…

Answered: Problem 10 (Sec 11.4) Consider the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 15EQ

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Suppose that a healthy population of some species is growing in a limited environment and that the current population P0 is fairly close to the carrying capacity M0. You might imagine a population of fish living in a freshwater lake in a wilderness area. Suddenly a catastrophe such as the Mount St. Helens volcanic eruption contaminates the lake and destroys a significant part of the food and oxygen on which the fish depend. The result is a new environment with a carrying capacity M1 considerably less than M0 and, in fact, less than the current population P0. Starting at some time before the catastrophe, sketch a “before-and-after” curve that shows how the fish population responds to the change in environment.
Only a, b, c please!! Thank you!!!
Ch 13. 3: Enterprise Industries produces Fresh, a brand of liquid laundry detergent. In order to manage its inventory more effectively and make revenue projections, the company would like to better predict demand for Fresh. To develop a prediction model, the company has gathered data concerning demand for Fresh over the last 30 sales periods (each sales period is defined to be a four-week period). The demand data are presented in table below concerning y (demand for Fresh liquid laundry detergent), x1 (the price of Fresh), x2 (the average industry price of competitors' similar detergents), and x3 (Enterprise Industries’ advertising expenditure for Fresh). To ultimately increase the demand for Fresh, Enterprise Industries’ marketing department is comparing the effectiveness of three different advertising campaigns. These campaigns are denoted as campaigns A, B, and C. Campaign A consists entirely of television commercials, campaign B consists of a balanced mixture of television and…
ch 13. 3: Enterprise Industries produces Fresh, a brand of liquid laundry detergent. In order to manage its inventory more effectively and make revenue projections, the company would like to better predict demand for Fresh. To develop a prediction model, the company has gathered data concerning demand for Fresh over the last 30 sales periods (each sales period is defined to be a four-week period). The demand data are presented in table below concerning y (demand for Fresh liquid laundry detergent), x1 (the price of Fresh), x2 (the average industry price of competitors' similar detergents), and x3 (Enterprise Industries’ advertising expenditure for Fresh). To ultimately increase the demand for Fresh, Enterprise Industries’ marketing department is comparing the effectiveness of three different advertising campaigns. These campaigns are denoted as campaigns A, B, and C. Campaign A consists entirely of television commercials, campaign B consists of a balanced mixture of television and…
Question 10. Solve it step by step please.
The output of a solar panel (photovoltaic) system depends on its size. A manufacturer states that the average daily production of its 1.5 kW system is 6.6 kilowatt hours (kWh) for Perth conditions. A consumer group monitored this 1.5 kW system in 20 different Perth homes and measured the average daily production by the systems in these homes over a one month period during October. The data is provided here. kWh 6.2, 5.8, 5.9, 6.1, 6.4, 6.3, 6.9, 5.5, 7.4, 6.7, 6.3, 6.2, 7.1, 6.8, 5.9, 5.4, 7.2, 6.7, 5.8, 6.9 1. Analyse the consumer group’s data to test if the manufacturer’s claim of an average of 6.6 kWh per day is reasonable. State appropriate hypotheses, assumptions and decision rule at α = 0.10. What conclusions would you report to the consumer group? (Hint: You will need to find Descriptive Statistics first.) 2. If 48 homes in the central Australian city of Alice Springs had this system installed and similar data was collected, in order to assess whether average daily production in…
Consider an isolated population of 1871 people. Note: We assume this number is fixed and that there are no births or anyone moving into or out of the population. Suppose there are 281 people initially infected with some new disease and the assumptions of the standard SIR model apply to this population and disease. Suppose the transmission rate is r = 1.0E-5 and the recovery rate is a = 0.07; What is Ro, the "basic reproductive rate", for this disease? (round to two decimal places): Based on the standard SIR model and the given initial conditions, what is the maximum number of people that will be infected by the disease? (round to the nearest whole number):
At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year 0 is now). 1 2 3 $18,000 10,000 $31,000 21,000 $8,000 1 2 12,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. Formulate this problem as a shortest-path problem by drawing a network after you…
We want to understand the relationship between sales growth rates (s) and project FCF growth rates (g). This is useful to think about, because in our spreadsheet models we often need an estimate of g but when we look for analyst forecasts, they often just apply to s. We consider a hypothetical firm in which there are Sales, COGS, Depreciation, Taxes, ONWC, and CAPEX occurring each year. You know that sales growth is constant and equals s. You further know that in any given year, COGS/Sales-c, the tax rate is p, the ratio of ONWC to Sales is n, and CAPEX-Depreciation, and Depreciation/Sales-d. s, c, p, n, and d are constants (i.e., fixed parameters that don't change over time). Perform an algebraic series of calculations. Start with FCF = (Sales - COGS - DA - Taxes - etc). Simplify the expression until it is in the form Sales. *((1-c-d)(1-p)-s/(1+s)*n).
Question 9 Suppose the manufacturer's price-demand equation is q(p) (375-p)? for 0
Consider a linear predator-prey model. Let the prey's growth rate be 1.2 and that of the predator be 1.3; the prey's population dimities by 0.3 times that of the predator, the predator's population is increased by 0.4 times that of the prey. Construct a discrete model from the given information and discuss its stability.
What does February 2020’s actual warehouse club sales value tell us about the strength of this model to extend past the ten years covered in the scatterplot?

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