Population of Fish in a Lake A lake is stocked with 100fish. Let f(1) be the number of fish after i months, andsuppose that y = f(1) satisfies the differential equationy' = .0004y(1000 – y). Figure 7 shows the graph of the solu-tion to this differential equation. The graph is asymptotic tothe line y = 1000, the maximum number of fish that the lakecan support. How fast is the fish population growing when itreaches one-half of its maximum population?10008006004002001015Figure 7 Growth of a fish population.

The maximum population is 1000. One-half of the maximum population of fish is 500. The total…

Answered: Population of Fish in a Lake A lake is…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.
Find x for the following equation. In (x+4) + In 2 = 2 In x (Type an integer or a fraction. Use a comma to separate answers as needed.)
For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Relationship options: positive, negative Line options: A, B, C, D True or False: Line D has a slope of infinity.
A sheet of paper 80 cm-by-72 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. X = is the max.
I am trying to answer number 5 with the table provided. I was provided in my lesson with the equation MU1/P1=MU2/P2 but I am having trouble trying to figure out what Numbers to plug into the equation from the table.
A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: B(T) = 8T2 + 976T – 28890 С(Т) 3D — 2T?+244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T : T
OCHESTER 1. (12 points) Supply and Demand for Riesling The Finger Lakes region of New York State is known for its Rieslings. The demand function for bottles of wine from this region (in 100,000s) has two variables average annual income of purchasers. The functional form is: Qd=-2Pd-5+0.0011, where the price of wine and the Qd is quantity sold, Pd is the price of one bottle of wine, and I is equal to average income. Assume average annual income today is $30,000. A) (3 points) Calculate and plot the demand curve. B) (3 points) Calculate and plot the demand curve for I = $35,000 on the same graph as used in part a. == C) (6 points) Now assume a supply curve, Qs = 25P, - 175. Plot the supply curve on the same graph. Compute the equilibrium prices and quantities for the two demand curves.
The revenue from the sale of a product is, in dollars, R = 1500x + 3000(2x+3)-1 - 1000 where x is the number of units sold. Find the marginal revenue when 200 units are sold. (Round your answer to two decimal places.) $ Interpret your result. If the sales go from 200 units sold to units sold, the revenue will increase by about $ Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 30(3p+ 1) −2/5, p > 0 (a) What is the rate of change in sales volume when the price is $24? (Round your answer to three decimal places.) dy = dp (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by If the demand for q units of a product priced at $p per unit is described by the equation p = 500 √29 + 7 find the rate of change of p with respect to q. dp = dq 1 units.
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Given the functional relationship: y = 14x5/x2 find the value of y when x = 1.5
Suppose the equations ?1=1000−2? and ?2=0.5?+250 describe two lines that intersect. What is the value of ? at the point of intersection?
In a certain store, cashiers can serve 45 customers per hour on average. If a customers arrive at the store in a given hour, then the average number of customers C waiting in line can be modeled by the function x² C(x) = 2025 - 45x where x < 45. Answer the following questions with a graphing calculator. Round your answers to integers. 1) If 40 customers arrived in the store in the past hour, there are approximately 7 2) If there are 2 customers waiting in line, approximately customers waiting in line. customers arrived in the past hour.

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