Given:(x is number of items) Given: (x is number of items)3698Demand function: d(x)%3DSupply function: s(x) = 2 aFind the equilibrium quantity:itemsFind the consumers surplus at the equilibrium quantity: $

Answered: Image /qna-images/answer/de97c017-6ba9-434f-b16e-0e2006e8d935.jpg

Answered: Given: (x is number of items) 3698…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 43E

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?
Demand function: p = 100 – Supply function: p = q (a) The equilibrium quantity is (b) The equilibrium price is . Do not write the $ sign. %24
The demand function and the supply function of a good are given by :D=14+5p-p? and S= 3p-1. %3D Find the equilibrium price and the quantity exchanged. CS Scanned with CamScanner
Given: (g is number of items) Demand function: d(q) = 518.4 0.3q2 Supply function: s(q) = 0.6q Find the equilibrium quantity: items Find the equilibrium price: $ Submit Question
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A forest loses an average of 4.8% of its size every year due to logging. (a) write a function for the percent of the forest remaining after t years in the form P(t) = P0 at (b) write a function for the percent of the forest remaining after t years in the form. P(t) = P0 ekt (c) Use either formula to estimate when 10 % of the forest will remain
K The manufacturer's suggested retail price (MSRP) for a particular car is $25,275, and it is expected to be worth $14,427 in 4 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 5 years from now. (c) At what rate is the car depreciating? (a) What is the linear depreciation function for this car? f(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (b) What is the estimated value of the car 5 years from now? (c) At what rate is the car depreciating? The car is decreasing in value an average of $ a year.
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Given: (x is number of items) 3698 Demand function: d(x) Supply function: s(x) = 2/a Find the equilibrium quantity: items Find the consumers surplus at the equilibrium quantity: $