Suppose that the cost function of q is given by: C(q)=16+4q+q^2 (a) Find the fixed and variable cost. (b) Find the average cost and marginal cost.  (c) Draw the relationship between MC and AC. Prove that they always intersect at the minimum. (Hint: compute the derivative of AC with respect to q and set it equal to zero. Then use this equation to show that MC=AC)

Q: Marginal cost is the slope of both the average variable cost and the variable cost functions. Select…

A: Marginal cost is the change in total cost or total variable cost per unit change in output.

Q: A food truck gyro vendor has weekly fixed costs of ​$550​, and variable costs of $4.55 for each gyro…

A: Cost is the sum of fixed cost and variable cost

Q: Find the average cost function if cost and revenue are given by C(x) = 127 + 8.6x and R(x) =…

A: Given cost function:- C(x) = 127 + 8.6x x = units of output produced

Q: A _ total cost function implies that marginal costs _as output is increased. 1 linear,increase…

A: The marginal cost occurs for the firm to make one more additional unit of production by using a…

Q: The total cost of producing 25 tons of butter is 45000. If the average variable cost is $775, then…

A: TC(Total) is the cost which is incurred by a firm in producing some specific level of output. It is…

Q: The statements and equations show various ways of defining average variable cost, marginal cost, and…

A: Average Variable cost refers to the variable cost per unit. It can be calculated as follows: In…

Q: An economist estimates the cost function for Redwood Hill Farm, LLC as shown below. Redwood Hill…

A: For a specific production of a commodity, cost refers to the expense made by a producer on factor…

Q: The MC curve must be * rising when TC is rising. less than AFC when the average cost is rising.…

A: Every production unit incurs certain amount of costs during production processes. These costs are…

Q: An owner of a firm estimates that the average total cost is $6.71 and the marginal cost is $6.71 at…

A: The information given here indicates that the average total cost, as well as the marginal cost of…

Q: The average fixed cost curve will never intersect with either the horizontal or vertical axis.

A: The total cost of production refers to the market value of all the inputs used by the firm in the…

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: The total cost function of a firm is:- 23Q² - 13Q + 40 Find the average cost function

A: The total cost (TC) is divided by the entire output to get the average cost of production (Q). All…

Q: The average cost function of a firm is:- 2Q² - 350 Find the total cost function

A: The data presented in the question above is:- We are given with the average cost function of a firm…

Q: For a short-run cost function which of the following statements is (are) not true?

A: The marginal cost function intersects the average variable cost function where the average variable…

Q: Which one of the following would be regarded as a variable cost for a firm?   Select one: a. the…

A: Meaning of Variable Cost: The term variable costs are those cost which changes or fluctuates, as…

Q: If the total quantity is 100, the average fixed cost is 10, then we can say that the total fixed…

A: Fixed cost is that cost which remains the same irrespective of the quantity produced by the firm.

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

A: Given, C(x) = 700 + 5x + 0.04x2

Q: If the production function of a firm is P = 60kl, where the price per unit of input k is $10 and I…

A: Production function of a firm : P = 60kl Price of per unit of k : r=$10 Price of per unit of l :…

Q: A business incurs the following costs: • Labor: $120/unit • Materials: $45/unit • Rent:…

A: Total fixed costs are the costs that are unavoidable and have to paid irrespective of the level of…

Q: What is MC(y) for cost function c(y) = y3? Input prices are taken as constants.

A: Marginal cost measures the change in total cost with an additional unit of production.

Q: Which of the following best describes total fixed cost?a.The change in total cost when one…

A: Cost in the domain of accounting, the overall costs for a business may be classified into different…

Q: If the average variable cost is $2.00 and the average total cost is $8.00 and the marginal cost is…

A: Answer: Note: I am considering that average variable cost, not average available cost as you have…

Q: Total cost function is given as:- 3Q4 -5Q3 + 2Q2 + 16Q Calculate the marginal cost function

A: # We know that Marginal cost is given as:- MC = change in Total Cost / Change in quantity Thus it…

Q: According to following information, which of the following is the total cost function in the form of…

A: Total cost is the cost that includes total fixed cost as well as a total variable cost of the…

Q: Economic cost is equal to the sum of the explicit and the implicit costs True False

A: The economics as a study is associated with the use of various resources which are available with…

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: When output increases from 20 to 30 units the total cost increases from $500 to $600. Assuming the…

A: Average Total Cost (AC): - it is the average value of total cost by producing a specific unites of…

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: Consider the following cost function.   a. Find the average cost and marginal cost functions. b.…

A: Average cost refers to total cost per unit of output. Marginal cost refers to change in total cost…

Q: dollars. C'(x)=15+ 500 X + 1 If the fixed costs are $4,000 per week, find the cost function. What is…

A:

Q: The reason the marginal cost curve eventually increases as output increases for the typical firm is…

A: The marginal cost of production is the difference in total production costs caused by adding one…

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: In the table, the average variable cost at 2 units of output is

A: Answer to the question is as follows :

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: Which of the following is not a fixed cost?

A: Fixed cost refers to a cost that does not change with an increase or decrease in the number of goods…

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. C(x) =…

A: The provided cost function is: Cx=1700+0.4x

Q: Find the average cost function if cost and revenue are given by C(x) = 170 + 3.6x and R(x) = 5x –…

A: Average cost refers to the cost (AC) per unit. The average cost function can be derived as follows.

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: Cost function C = 80q - 3q2 + q3 If MC function is 80-6q+3q2, At what output level the average cost…

A: Answer to the question is as follows:

Q: If the marginal cost function for x units of a product is MC = 3 + 4 In(x + 1) dollars per unit, and…

A: We will use total cost function to solve this question: Total Cost = Fixed Cost +Variable Cost

Q: Given a cost function C(x), which returns the total cost of producing x products, the average cost…

A: Total cost function  C(x) = 80x+150

Q: In line with the information including the production amount and total cost of the firm and the…

A: In order to form the total cost equation, we will take the given data and make a regression…

Q: Average variable cost and average total cost get closer as output increases because a) productivity…

A: ATC = AVC + AFC So, AFC = ATC - AVC (= distance between ATC and AVC curves) Also, AFC = TFC / Q As Q…

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

A: Given that: Production Function: q = f(K, L) where K is capital and L is labor. Wage for one…

Q: The output level at which long-run costs are minimised is known as: (a)  Average fixed cost; (b)…

A: Total cost is the cost incurred by the firm on hiring factors of production to produce the final…

Q: . For the cost function C(Q)= 100+2Q+3Q2 the average fixed cost can be represented by the following…

A: Average Fixed Cost = Total Fixed Cost/Output Total fixed cost = 100 AFC = 100/Q