This Function is: PY = $300       PL = $1.50       I = $40000            A = $200000                        QX = 197000 -100PX +50P­Y +.025I +.02A + 10000PL   Calculate the point price elasticity of demand at PX = $250 (which should make QX = 207000).  Does this elasticity value indicate that the demand for Brand X washing machines is relatively responsive to changes in the price of these machines?  Explain why or why not.  The formula is:   Ep = deritiveQx / deritive Px * Px / Qx

Q: Show that the two functions yn = Aet (interest compounding) and y2 Aet (discounting) are mirror…

A: Mirror image with reference to y-axis: Given a function f(x), a new function g(x)=f(−x) is a…

Q: Assumee thát ic COst C(x) = 25,600 + 100x + 0.01x² dollars to manufacture x 32GB iPods in a day. t…

A: given cost functio cx=25600+100x=0.1x2

Q: Calculate E(0.25), where E is the elasticity of demand. Give your answer to 3 decimal places.

A: Consider the given price-demand equation, p=85-12500xp=4000-x25002500p=4000-xx=-2500p+4000 Now,…

Q: The Ideal Gas Law is PV = mRT where P is the pressure, V is the volume, m is the constant mass, R is…

A:

Q: At waht x does f(x) have a local(relative) maximum?

A: A function f(x) is defined for x values there are local maxima and local minima in the given curve.

Q: 2. A population of birds (in millions) t years from now is estimated by the following P (t) =…

A: Please see the answer below.

Q: The air in a room with volume 180 m3 contains 0.15% carbondioxide initially. Fresher air with only…

A:

Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

A:

Q: The current toll for the use of a certain toll road is $2.75. A study conducted by the state highway…

A: Given q=6000e-0.4p When p=2.75, we have q=6000e-0.42,75=6000e-1.1=1997.2265 When p=5, we have…

Q: A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during…

A: To find the interval in which acceleration is increasing .

Q: When the price of a book is $125, a book store can expect to sell 600 books. If the price rises to…

A:

Q: y = x – 2 + Ce* X-

A:

Q: The total cost of producing 1 unit of a product is C(x, y) = 26 + 8x + 6y + AY 56 dollars where x is…

A: Let x be the cost per pound of raw materials and y be the cost per hour of the labor. Part (a)…

Q: A manufacturing company owns a major piece of equip -ment that depreciates at the (continuous) rate…

A:

Q: Given the following function, determine the maximum rate of change of it at the point P(0,0, 1/2).…

A:

Q: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: dpdt=0.5(qD-qS)qD=30-2p  and qS=2Ndpdt=0.530-2p-2N=15-p-3N   ...(i)dNdt=54(p-10)…

Q: A recent report by the U.S. Cen- sus Bureau predicts that the U.S. Hispanic population will increase…

A:

Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

A:

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: With this demand function D(p)=100−3p2 , Find the Elasticity of Demand at a price of $5   At this…

A: Given the demand function is, D(p)=100-3p2

Q: the critical points, local e(s) and sat f(x, y) = 6x+4y+x² + y². Then find the maximum rate of…

A:

Q: The demand function for Malaysia's Jati wood is given as 9p + 6q = 150 i. Find the elasticity of…

A:

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Consider the given information:

Q: A continuous stream of income is being produced at the constant rate of $8,000 per year. Find the…

A: Given, A continuous stream of income is being produced at the constant rate of $8,000 per year.We…

Q: The rate of flow of a continuous income stream (in thousands of dollars per day) is given by f(t) =…

A: the total income produced during the first thirty days of operation -  The rate of flow of a…

Q: Find the maximum rate of change of the function f(x,y) =4x^2-2y^3 at the point (1,1)

A: Given data: The given function is f(x,y)=4x2-2y3. The given point is (a, b)=(1, 1). The expression…

Q: A small brewery considers the output of its bottling machine as a continuous income stream with an…

A: According to the total income of Continuous Income Stream: If the rate of receipt of revenue is ft…

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: An input-output curve of a 10 MW station is expressed as follows: |= 10°(10+8L+0.4L?) where / is in…

A: An input-output curve of a 10MW station is expressed as I=10610+8L+0.4L2

Q: The relationship between food expenditure of 25 households (y) and their total expenditures (x) is…

A: Given: ln Y^=2.24+0.364 ln Xr2=0.886

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker who…

A: Given, Qt=-t3+6t2+24t a. Compute the worker's rate of production at 11:00 A.M. Here t=3 ( Difference…

Q: Find the demand function x = f(p) that satisfies the initial conditions. dx 600 x = 15,000 when p =…

A:

Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: The rate of change of a function g(t) at t = t0 is given by g'(t0).

Q: Verify that the function y increases at a maximum rate when y = L/2 .

A: Consider the function ⇒    where   Differentiating with respect to ‘x’

Q: The rate of flow of a continuous income stream (in thousands of dollars per day) is given by f(t) =…

A:

Q: The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R(t) =…

A: Given the revenue function as, Rt=41e0.094t, where t is the time in years.( t=0 represents the…

Q: Consider the price-demand equation given by 8 x. 2, 500 Calculate E(0.25), where E is the elasticity…

A:

Q: %3D 10. Find the derivative of the function )= V 5T4 using the limiting process.

A: Given,

Q: Assume that the demand curve is P = f(Q) = 60 − 0.2Q and the supply curve is P=g(Q) = 30 + 0.3Q.…

A:

Q: Given the demand function D(p) = 150 – 4p, Find the Elasticity of Demand at a price of $32 -2.9096…

A:

Q: Assume that it costs Apple approximately C(x) = 36,100 + 100x + 0.01x² dollars to manufacture x 32GB…

A: We use second derivative test to find out where cost is minimum

Q: Estimate the instantaneous rate of change of ƒ(x)= = a) Ax b) 4 Ax = 20000 = 2 c) 4-0 Ax x x-2 at…

A:

Q: Find the present value of a continuous income stream F(t) = 30 + 8t, where t is in years and F is in…

A: Given: A continuous income stream is: F(t)=30+8t Where t is in years and F is in thousand of dollars…

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: Suppose it take aforceof 21 lb to stretch an industrial spring 3 ft from its equilibrium position.…

A:

Q: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: given that                                                 dpdt=0.5qD-qs where qD is demand…

Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

A:

Q: The weekly sales of Honolulu Red Oranges are given by q = 1, 000 − 10p. Calculate the price…

A:

Q: The weekly sales of Honolulu Red Oranges is given by q = 216 - p^2. Calculate the price elasticity…

A:

Q: Given the demand function D(p) = V375 – 3p, Find the Elasticity of Demand at a price of $89 (Round…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.