Given Q=100K^0.5L^0.5 ,w= 30, r=40 i) Find the quantity of labour and capital that the firm should use in order to minimize the cost of producing 1444 units of output ii) What is this minimum cost?

Q: Suppose that the cost function for a commodity is (x) = 90 + x? dollars. (a) Find the marginal cost…

A: Answer to the question is as follows :

Q: For the cost function C(Q) = 200+3Q2+4Q3, what is the average fixed cost of producing 10 units of…

A: We have total cost function: C(Q)=200+3Q2+4Q3          ... (1) We have to calculate average fixed…

Q: For the cost function C(Q) = 75 + 4Q + 2Q2, the marginal cost of producing 5 units of output is

A: The marginal cost is the change in the total cost that arises when the quantity produced is…

Q: Suppose the cost function is C(Q) = 50 + Q − 10Q2 + 2Q3. At 10 units of output, the average cost…

A: In economics, the cost curve is a graph of production costs as a function of the total value…

Q: To maximise profits, a competitive firm has a cost function, C(q) = 4q2 + 95 and produces 33 units…

A: The profit is maximized where the P=MC.

Q: C(Q) = 100 + 20Q + 15Q2 + 10Q3 Based on the cost function, determine: The fixed cost of producing…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: C denotes the cost function and x denotes multiplication, Qs denotes the square of Q. C equals to 75…

A: Marginal cost (MC) assesses the cost born by a business unit in producing an extra unit of its…

Q: average total cost of using 81 units of capital and 9 units of labor is:

A: The average total cost(ATC) is the per-unit total cost(TC) for production. This is TC divided by the…

Q: For the production function: Q = 12LK , what happens to average cost as the firm produces more? A.…

A: Given, By putting this value of K in production function:

Q: For a certain production process, fixed costs are $60,000. Variable costs are $30 per unit of…

A:

Q: Suppose that the cost function for a commodity is C(x) = 40 + x2 dollars. %3D (a) Find the marginal…

A: Given Information: cost function: C(x) = 40 + x2   * The marginal cost of a commodity is the cost of…

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

A: Given data: Cx=700+5x+0.04x2

Q: Suppose a firm is producing 1,000 units of output. Its average fixed costs are $100. Its average…

A:

Q: The daily cost function for producing x printers for home computers was determined to be C(x) = x²…

A: Given  TC = C (x) = x2 + 8x + 6000

Q: In the previous Problem Set question, we started looking at the cost function C (x), the cost of a…

A: Cost function is given by C(x) = 0.04x3-20x+350

Q: A manufacturer believes the function C(x) = 0.25x² 20x + 950 - where 0≤x≤ 100 approximates the…

A: Marginal cost refers to additional cost that is incurred from producing one more unit of output. It…

Q: Given the production function: q(K,L) = 3K +L, r=6, w= 3. What is the total cost function, C(a)? A.…

A: Production function: q=3K+L         ....... (1) Wage rate w=3 rent r =6 In order to find total cost…

Q: A fast food restaurant currently pays $5 per hour for servers and $50 per hour to rent ovens and…

A: Cost of production: These are the expenses faced by a firm for producing goods and services.

Q: What is the critical point of the total cost function TC=1/3Q3+6Q2-640Q ? A) Q = 32 B) Q = 16 C)…

A: The total cost function refers to the mathematical expression of the cost that is incurred during…

Q: If the production function is given by f(x1, x2) = min{x1, x2} + min{x3, x4}, what is the minimum…

A: A production function in economics describes the technological relationship between the quantities…

Q: Output is produced according to a production process given by: Q = 4LK, where L is the quantity of…

A: A production function represents the relationship of the manufacturing output with the given factors…

Q: Consider the following Total Cost function TC= 20 + 0.5 Q Assume Q = 10 How much the Average Total…

A: Average total cost is the aggregate of all cost that the firm incur to produce a batch of product…

Q: A factory that you are managing has an hourly production process that can be represented by the…

A: Answer -

Q: For the cost function below, where C is the cost of producing x units of a product, find the…

A: Power Rule: d/dx (xa) = axa-1 where a is constant. And MC = C'(x)

Q: In a production process, an excessive amount of the variable input relative to the fixed input is…

A: Short-run production: Under the short-run production, there are both factor inputs i.e. Fixed and…

Q: Given the following Cost Function: C(q) = 100 + 50q – 10q + q^3. Find the equations for Total…

A: Total variable cost (TVC) is that cost which changes as the level of output changes. Eg: Piece…

Q: ind the optimal amount of labour and capital that you will be using, and compute the total cost.

A: Put given Q = 200 and solve for K put that value in Cost and minimize Cost.  Find optimum values of…

Q: Total cost at zero level of output will be

A: # Total cost is given as the sum of total fixed costs and total variable costs. That is:- TC = TFC +…

Q: Consider a simple three-step manufacturing process as illustrated in the figure given. Assuming the…

A: Demand is a monetary guideline alluding to a purchaser's craving to buy labor and products and…

Q: Which of the following statements is false? If marginal cost is rising, then average variable cost…

A: The total cost incurred by a firm operating in a market includes fixed costs and variable costs.…

Q: The total cost equation for producing X widgets is given by TC = $1,000 + $6X. The variable cost per…

A: Costs are the expenses that firms incur in the production of goods and services.

Q: A factory that you are managing has an hourly production process that can be represented by the…

A:

Q: In the following problem, c represents the average cost per unit, which is a function of the number…

A: Given: c=0.001q2-0.5q+50+7000/q q=15,q=25

Q: For Questions 24 to 28, consider the following total cost function: TC = 75 + 3q² where TC is total…

A: ("Since you have asked multiple questions, we will answer the first question for you. If you want…

Q: At zero level of production, _______ cost is always zero

A: Whenever production starts, the firm has to incur costs such as rent of the property such as…

Q: The total cost of producing the first q items is given by the formula C(q) = -2q^3 + 60q^2 + 1000…

A: Given: Total cost function C(q) = -2q3 + 60q2 + 1000 First, we will find the average cost function…

Q: Suppose the production function is q = 6L0.60K0.90. Determine the long-run capital- to-labor ratio…

A: A firm will maximise profit at a point where marginal rate of technical substitution is equal to…

Q: accountant for a car rental company was recently asked to report the firm's costs of producing…

A: A company's complete expense is the amount of the expenses of the multitude of information sources…

Q: Suppose the cost function is C(Q) = 50 + Q − 10Q2 + 2Q3. What is the marginal cost of producing 10…

A: Here, cost function is given as: C(Q) = 50 + Q − 10Q2 + 2Q3 To find: marginal cost of 10th unit.

Q: Suppose the production function for a product is given by q = 100KL. If the price of capital is $81…

A: Given:  Production Function : q=100KL Price of capital (r) = $81 per day Price of labor (w) = $27…

Q: What is the cheapest way of producing 850 units of output if a firm operates with the production…

A: It is given that;

Q: A firm is producing 20 units with an average total cost of $25 and a marginal cost of$15. If it were…

A: Average cost or ATC refers to the average cost of production of each unit. It is calculated as the…

Q: When production is at level zero then the value of ___________ cost is always zero.

A: Total cost = fixed cost + variable cost Fixed cost always remain constant even when output is zero.…

Q: The unit price of a product is given by P(X) = 200 -  0,01X and the total cost function C(x) = 50X +…

A: Given : P(X) = 200 - 0.01X  C(x) = 50X + 20.000