1. Given the profit function n 160x-3-2xy-2y+ 120y- IN for a fim producing two goods x and y. (a) maximize profits, (h) test the second-onder condition, and (e) evaluate the function at the critical values f and y.

Q: 2. A firm is a perfectly competitive producer and sells good A and good B at RM100 and RM80,…

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Q: 1. Use the method of Lagrange multipliers to find the minimum value of the function f(x, y) = x + y²…

A: Hello, since the questions posted have multiple questions, We will solve the first question for you.…

Q: 2. Find the producer’s surplus if the supply function for pork bellies is given by S(q) = q512 +…

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Q: Exercise 2 - Entry with sunk costs and Cournot competition Consider two firms, 1 and 2, selling a…

A: The answer provided below has been developed in a clear step by step manner.

Q: 3.) Consider the following two-types adverse selection problem as discussed in class, with the…

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Q: 2. Find the critical point and classify each point as a relative minimum, relative maximum, or a…

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Q: 3 10 [1] Restart Rock Co. determines that the marginal cost, C', of producing the xth climing…

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Q: 3. When r thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

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Q: Consider an equilibrium of a single product market jointly determined by a supply function q* = a, +…

A: Given Information:    Supply function q*=a0+a1×p*+UDemand function q*=β0+β1×p*+V Where,…

Q: 1/2 Consider a consumer with the utility function u (x1, x2) = x₁¹ + x2. Suppose the cost of…

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Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Assume that there are two types of workers in a labour market with Utility Function given by:…

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Q: 4. The market for Woozle used to be perfectly competitive, but then Woozlesoft Inc. monopolized…

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Q: 13. Use Lagrange multipliers in three variables to find the maximum and minimum values of f(x, y, z)…

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Q: Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A's utility function is…

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Q: Skip has the following utility function: U(x, y) = x(y + 1), where x and y are quantities of two…

A: The Utility function is U(x, y)=x(y+1).   The Skip’s maximization problem is Lx, y,…

Q: A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It…

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Q: C(xy) = x - xy + y² maliyet fonksiyonu x+y = 10 üretim kısıtı altında Lagrange yönterniyle…

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Q: find the level of output that maximizes profit,

A: In this question, we find the maximum value of the multivariable function by using second derivative…

Q: 11. Suppose that a firm that uses 2 inputs has the production function f(x₁, x₂) = 12xx and faces…

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Q: If (2/3,1/6) is a critical point of f(x, y) = x2 – In(x)+ xy – 2y²then (2/3,1/6) is: O a local…

A: Local Maximum:   If f'a-∈&gt;0   and f'a+∈&lt;0 i.e., f'x switches sign from positive to negative as…

Q: 11. Suppose that a firm that uses 2 inputs has the production function f(x1, x₂) = = 12xx and faces…

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Q: units

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Q: 11. Suppose a firm's total revenue function is given by 1400Q - 7.5Q2 and their total cost function…

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Q: First, to find out the optimal consumption path, taking the interest rate as given and then to find…

A: Answer is mentioned below

Q: 5. Consider the following model of a competitive labour market where both firms and workers have…

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Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: Suppose a manufacturer and its retailer face the problem of double marginalization described in my…

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Q: *A Consumer is willing to trade 3 unit of x for unit 1 of y ,when she has 6 unit of x and 5 unit of…

A: The ratio at which an individual is willing to trade x for an additional unit of y is called the…

Q: In order to prevent economies from the harmful effects of covid-19, governments all around the world…

A: We have to find the effects of increase in G on TB, decline in world interest rate (r*) on TB.

Q: Solve for the optimal investment and capital profiles for the following problem by applying optimal…

A: We will use Euler-Lagrange equation to find the optimal solution.

Q: The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy…

A: The equilibrium point is the point where demand function is equal to the  supply function. Thus,…

Q: 4. A fim is producing three goods and given inverse demand functions are PI=360-6Q1-2Q2- 4Q3,…

A: First, determine the revenue for each one. Now use the profit maximization technique and solve to…

Q: Consider an optimization problem where we want to minimize: f(x1, 12, L3) = 100(x2 – 2)² + (1 – x1)²…

A: Step:-1 Given that fx1, x2, x3 =100x2-x122 +  1-x12 +100x3-x222 +  1-x22 Part (1):- differentiate f…

Q: A cement grinding mill “A” with a capacity of 50 tons/hr utilizes forged steel grinding balls…

A: According to the given information, For mill A: capacity=50 ton/hr cost=P12000 per ton wear rate=100…

Q: 7-)Determine the level of homogeniety and returns to scale of the following production functions: Q…

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Q: Consider a storage with capacity volume v and weight w. n types of Goods can be stored inside, each…

A: given volume of storage capacity=V weight of storage capacity =W now, consider  y1, y2 , y3 ,…

Q: 8. A firm sells its output in a perfectly competitive market at a fixed price. Find the combination…

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Q: Consider the minimization of f(x) over a feasible region denoted by S. Suppose Vf(x) + 0 for every x…

A: Please check the answer in next step

Q: The supply function for a product is Ps(q) = (4 + 0.2q) 3/2 where q is in thousands of truckloads…

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Q: The demand and supply functions for two interdependent commodities are given by: Qd1 = 205 − 2.5P1…

A: Image is attached with detailed explanation.

Q: Suppose you have inherited K100,000 from your father-in-law that can be invested in a combination of…

A: Let at 10%, invested money is x and at 20%, invested money is y. We have to maximize the return, so…

Q: ECNII3 - Mathematical Economics 1. Given the profit function n= 160x -3x-2xy-2y+ 120y- IN for a firm…

A: Given

Q: Solve for the optimal investment and capital profiles for the following problem by applying optimal…

A: We will use Euler-Lagrange equation in terms of K(t) . Then we will find the optimal solution for…

Q: 1. For this and the following three problems, consider a partial equilibrium two households with…

A: Hello  According to bartleby guidelines we are supposed to answer only first question so for rest of…

Q: Suppose that Marie produces milk q using her own labor l and cattle k using the production function…

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Q: The monthly income associated with the sale of two products is described with the function in two…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: 1) a)Integrate the following: 6x2 ( 12x3 + 157 )0.8 within the range 2 and 7.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…