Given the utility function of a consumer for the goods x and y, U = (x + 2)(y+ 1) and the prices of goods are P = 4 TL and P, = 6 TL while the consumer's budget is В - 130TL ||

Q: The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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Q: Find the consumers surplus if the demand function for a particular beverage is given by…

A: The consumer surplus is given by C.S.=∫q=0q=eDq dq -e·De, where e is equilibrium value of q. Here,…

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F…

A: To find the foraging time

Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (106 −…

A: Given: The consumer demand is q = (106 − 2p)2, where p is the price per dumbbell, and q is the…

Q: A bicycle dealer has found that if 10-speed bicycles are sold for æ dollars apiece and the price of…

A: The solution is given below:

Q: +] has the general solution u(x, y) = e"[f(x)+g(y)] where f and g g are arbitrary functions

A: ∂2U∂xdy+∂u∂x=0let U(H.Y)=e-yf(x)+g(y)

Q: Find the critical numbers of the function. y-4 g(v): y2 - 2y + 8

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Q: Suppose that the demand x (in units) for a product is x = 5,000 – 50p, where p dollars is the market…

A: Given expenditure is: E=5000p-50p2

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by x = (114 -…

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Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: Find the critical numbers of the function. y-4 g(v) = y2 - 2y + 8

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Q: A company with a monopoly is able to control the price of its product by limiting supply. If the…

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Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $117…

A: Calculate the constrain C(x,y).Cost for labor = $117/unit.Cost for capital = $50/unit.

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by x = (111 −…

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Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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Q: Find the relative maximum and minimum values. f(x,y) = 3x² – 4y?

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Q: Use variation of parameters to find a particular solution of 14aie" 3 y" – 2y' + y - Yp(x)

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (102 −…

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Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by…

A: We are given the demand function for a particular beverage as: D(q) = p=30003q+72 The equilibrium…

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

A: Here, yp=Ax2yp'=2Axyp''=2Ayp'''=0

Q: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by q=(118-2p)^2,…

A: given: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by…

Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

Q: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by q = (118 −…

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Q: Find the maximum and minimum values of the function f(x, y) = e²Y subject to + y° = 16

A: Given data: The expression for the first function is f(x, y)=exy. The expression for the second…

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: What value of b >-1 maximizes f(b) = J - x) dx!

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Q: Given the cost function C(x) = 7x° - 3x + 5x + 8, find the minimum marginal cost. %3D

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Q: The demand and supply functions for your college newspaper are, q = −8,000p + 1,600 and q = 3,000p +…

A: Given

Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: Consider a situation where there are bears around your campus. Since bears harm our campus life, a…

A: Given: The student group decides to remove the bear in which the removal cost is given as,

Q: ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect…

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Q: For the cost function C(x)=300+10x+0.03x^2, show that average costs are minimized at the x value…

A: Given data: The expression for the cost function is C(x)=300+10x+0.03x2.   The expression for the…

Q: The demand and supply functions for your college newspaper are, q = −11,000p + 2,200 and q = 3,000p…

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Q: Given: (x is number of items) Demand function: d(x)=291.6−0.5x2 Supply function: s(x)=0.4x2 Find…

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Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A: Given equation - R =-4p2+4000p          ...........(1)Part (a) - Revenue = R = 0p = price = ?From…

Q: . A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank…

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: Suppose a company's revenue function is given by R(q) = - q³ + 250q² and its cost function is given…

A: Given,          A company's revenue function is given by Rq=-q3+250q2 and its cost function…

Q: Find the relative minimum value for the function: f(x,y) = e(5x2+8y2+4).  those 2's are "squares"

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Q: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x0.7y0.3 , where Q…

A: The product function is given by, Q=fx,y=180x0.7y0.3 Here  Q is the number of pairs of skis…

Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

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Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (87 −…

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