A firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. What is the equilibrium value of x? What is the equilibrium value of y?     What is the equilibrium value of λ?     What is the optimized value of cost?

Q: Lesson 8 - Costs Question 10

A: Answer K = 0.25LExplanation:Approach to solving the question: Detailed explanation: Examples: Key…

Q: 2) Assume a firm has the following production function 4 = K³L%¸ Assume w = 2, v = 16 and that K =…

A: In short-run, capital is kept fixed and labor can vary Profit maximizing quantity of labor occurs at…

Q: What is the conditional demand for input 1? Use cost function c(w1;w2; y) = w11/2w21/2y2

A: Conditional demand for input one can be calculated by differentiating the total cost with input 1.…

Q: Cost is in dollars and x is the number of units. Find the marginal cost functions MC for the given…

A: 5) Given Total profit function:P(x) = 7x - 24Marginal Profit(MP) = 7The next unit sold earns this…

Q: What is the elasticity of substitution for the production function f(K, L) = K¹/4 [³/4? (a) o = (b)…

A:

Q: b Now suppose Q = 2L +3K. Let the market price of L be w = 5 and the price of K be r = 4. Let both L…

A: b) Suppose the production function is Q = 2L + 3K, where Q represents the output quantity, L is the…

Q: Suppose a firm produces a single output with technology, q = √(x1 + x2) where q is output, and x1…

A: Understanding the Firm's Production and CostsThis analysis explores a firm's production process and…

Q: In a furniture market, if a furniture company is analyzing the short run total costs, one of the…

A: Here, it is given that a firm in the furniture market is analyzing its short-run total cost.…

Q: A firm can produce output using three inputs and the following production 111 technology: q=x¹x¹x.…

A: A price-taking firm is one that cannot decide the price on its own. It takes the price as given.…

Q: Exercise: A firm produces output according to the following production function: q = A K1/4 L1/4 The…

A: Production function:Production is a function of land labor capital and entrepreneurship. It includes…

Q: What is the short-run shutdown price, the price below which the firm chooses to shut down…

A: Shut Down price: In the short run as the firm faces the total fixed cost as well. And a firm will…

Q: As a production process requires labor L and capital K, q = F (L, K). The wage for a labor is $500,…

A: The optimal level of labor and capital is given by the point where the marginal rate of technical…

Q: Let c(x) be the cost of producing a product of x units. Given that c(x) follows the experience cost…

A: Experience curve is the known as Henderson's law which states that  more the firm produces , firm…

Q: An oyster farmer produces two types of oysters - Crassostrea-Gigas (Pacific Oysters) and…

A: Total Cost function (For both goods  ) : TC  = 0.45P +  PK +  0.75KInverse demand function for P :…

Q: A cost-minimising firm produces output (q) using capital (K) and labour (L) with the production…

A: The marginal product of labor (MPL) and capital (MPK) measures the additional output produced by…

Q: Suppose that a firm has production function F(L, K) = L2/3 K1/3 for producing widgets, the wage rate…

A: The production function is a concept in economics that describes the relationship between inputs…

Q: Does the value of λ change if the budget changes from $4600 to $5600? What condition must a…

A: Lagrange multiplier method is a method in which we can get maxima or minima from an equation by…

Q: A firm has two plants that produce identical output. The cost functions are : C 1 = 10q – 4q 2 + q 3…

A: The average cost curve shows the per-unit cost of producing a specific quantity of goods or services…

Q: b) Suppose a business faces a production function which is of the Cobb-Douglas form: Q(L, K) = ALªKB…

A: We have cobb double production function with alpha and beta as parameters.

Q: Problem 06-04 For the pizza seller whose marginal, average variable, and average total cost curves…

A: Average variable cost is the variable cost divided by the quantity.AVC is U shaped curve.Average…

Q: Tatal Cost AVC AFC ATC MC 25 5. 20 10 40 10 10 20 65 15 6.67 21.67 30 100 20 25 40 145 4 29 50 25 20…

A:

Q: Exercise 21.1 A firm has weekly production function q(k, 1) = k/471/2, and the unit weekly costs for…

A:

Q: *Find the elasticity of scale and the elasticity of substitution for the CES production function…

A: Let the production function be: Q = x1ρ+x2ρ1ρ

Q: The production function is y = min{x1 , x2} where x1 and x2 are the amounts of two inputs used. The…

A: Two goods are complements when they are consumed together in fixed proportion.

Q: 25) If a firm has the cost function C(q) = 5q² + 20q + 180 and the marginal cost function MC(q) =…

A: average cost or unit cost is equal to total cost divided by the number of units of a good produced…

Q: . A production process using two inputs, labor and capital is Q = 5LK where Q is output per day. MPK…

A: When the ratio of labour and capital prices equals the marginal rate of technical substitution of…

Q: Constrained Optimization A firm wants to minimize the cost of producing 100 units of output given…

A:

Q: Catalina Films produces video shorts using digital editing equipment (K) and editors (L). The firm…

A: Disclaimer:- as you posted multipart questions we are supposed to solve only the first 3 questions.…

Q: (a) For the cost function C(w₁, W2, y) 2y ww, calculate the Allen elasticity of substitution between…

A: The purpose of this question is to determine if the market is in its long-run equilibrium, consider…

Q: The cost of producing � units of stuffed alligator toys is �(�)=0.004�2+10�+4000. Find the marginal…

A: Marginal cost refers to an additional cost that is incurred due to producing one more unit of…

Short-Run Costs and Long-Run Costs

Cost of short-run and the long-run is an economic term that describes the cost involved in the production of goods in a firm in the short as well as long period.