e to the horizon from a height h, in feet,uf V with respect to h.ce to the horizon from an airplane window from the height ofcan one see a ship from the top of a 325 ft. light house?A company has a fixed cost of $30,000 and a production cost of $6 for each unit itmanufacturers. A unit sells for $10.A. What is the cost function?B. What is the revenue function?C. What is the profit function?D. Compute the profit (loss) corresponding to production levels for the followingunits of production:a. 6,000b. 8,000c. 12,00014.) For the problem above, determine the "break-even" point in production. What is anappropriate "viewing window" to understand the graph of this problem? *Extra credit if youcan explain your rationale for choosing this viewing window - "because it works" does notcount as an answer!157 Epidemiologists in College Station, Texas estimate that t days after the flu begins tothe flu is approximated by:

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Answered: e to the horizon from a height h, in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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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?

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