Suppose a firm has an average total cost function given by: ATC = 9072/q +8 + 7q. Calculate the quantity where ATC is minimized. (Round to the nearest two decimal places if necessary.) Answer:

Q: The short-run cost function of a company is given by the equation TC = 200 + 55q, where TC is the…

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function.…

A: The total cost function comprises of variable costs and fixed costs. The fixed costs remain the same…

Q: Consider the following cost minimization problem: Minimization CT = wL + rK Hold it: q= L1/2 K1/2…

A: Given: TC=wL+rK q=L1/2K1/2 Hence, in the long run cost minimization problem, MPLMPK=wr

Q: The total cost of producing one unit is $100 The total cost of producing two units is $150 At a…

A: It is given that, the total cost of production of 1st unit = $100. The total cost of production when…

Q: Given the average-cost function AC=Q^2-4Q+174, find the MC function. Is the given function more…

A: Average Cost (AC) function is given as:

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

A:

Q: If you know that with 8 units of output, average fixed cost is $12.50 and average variable cost is…

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Q: A computer company produces hardware and software using the same plant and labor. The total cost of…

A: (a) There would no economies and diseconomies of scale if the product is produced by itself. To…

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 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: A company's cost function is given as:  TC=25+30Q+0.2Q^2   What is the equation for the company's…

A: In the short run, a firm incurs two types of cost: fixed cost and variable cost. Fixed cost (FC):…

Q: The total cost of producing one unit is $50. The total cost of producing two units is $75. At a…

A: Given information: Total Cost  to produce 1 unit = $50 Total Cost  to produce 2 unit = $75

Q: A firm produces 300 units of output at a total cost of $1,000. If fixed costs are $100, average…

A: Given: Total Cost = $1000 Fixed Cost = $100 Output = 300 units.

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: 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: Consider the total cost function, TC = 25 + 6Q - 5Q^2 + 6Q^3 Find the marginal cost if firm want to…

A: Marginal cost is nothing but the cost incurred to the firm when they want to produce additional unit…

Q: The short run production function is q = 10*L. The wage rate is $10 per unit of labor, then AVC:

A: AVC is total cost divided by output.

Q: If a firm's short – run total cost function is TC = 20 + 2q² then its short run average cost at…

A: Total cost (TC): - it is the sum of fixed and variable costs incurred in the production process.

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

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Q: A company's marginal cost function is MC(x) (given below), where x is the number of units. Find the…

A: In Economics, marginal cost is the change in the total cost that arises when the quantity produced…

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: A firm's long-run total cost curve is given as: TC (q) = 1000q-30q2+q3. At what quantity is the…

A: The minimum efficient scale (MES) is the balance point at which a company can produce goods at a…

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: Suppose that cost function is C(Q) = mQ 2 + nQ + p. Find the point that average cost function A(Q)…

A: Average cost=total cost/quantity

Q: Total variable cost of the firm is $20 and the total fixed cost is $100 Calculate the total cost…

A: Answer: Given, Total variable cost = $20 Total fixed cost = $100 Total cost = Total variable cost +…

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: Assume the following total cost function: Q Total Cost $75 1 105 2 128 What is the average fixed…

A: Average Fixed Cost (AFC): It is per unit fixed cost. It continuously decreases because the same…

Q: A firm has an average cost function A(q)=125/q + q2/16 -4 where q is the firm′s output. (iv) Write…

A: Average cost = Total cost / Q

Q: Give the formulas for and plot AFC, MC, AVC, and AC if the cost function is

A: The average fixed cost (AFC) is the total variable cost per unit of output. This is found by…

Q: Find the total-cost function c(q) given the marginal-cost function dc/dq below, if the fixed costs…

A: Given data: Fixed cost is $4000 dcdq=1q+8

Q: The cost function of a firm is given as C1 = 400 + 200 + 4Q" using this cost function what is the…

A: here we calculate the efficient scale of the firm by using the cost function so the calculation of…

Q: If the total cost function for a product is C(x) = (x+5)° dollars, where x represents the number of…

A: Given, Total cost, C(x)=x+53 The average cost, AC(x) = C(x)/x AC(x) = x+53x To find the units which…

Q: Given the Cobb Douglas Production Function of F(K,L) = AKtalphaLt(1-alpha) and assume that A = 3, t…

A: 1) F(K,L) = AKtalphaLt(1-alpha)  F(K,L) = 3K0.5L0.5 Let F(K,L) =Q   For short run minimum cost…

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: Consider a company that has fixed costs of $6,700 and a marginal cost of $26 per item.   What is…

A:

Q: If a firm’s total cost function is given by the formula: TC = 400,000 + 4Q, where the fixed costs…

A: Here, given information is: Total cost function: TC = 400,000 + 4Q Fixed cost on plant and…

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: A company has the following product function. x = f(N,K): = No.5K0.5 The price per unit of labor is…

A: The cost function is the function of output level and input prices. The cost function is obtained…

Q: An economist estimated that the cost function of a single-product firm is C(Q) = 100 + 20Q + 15 Q^2…

A: Given Data:Cost function, C(Q)=100+20Q+15Q2+10Q3

Q: If a business has a long-run cost (TC) function given by TC = aq' – bq² + cq where q = the rate of…

A: Given  Total cost function TC=aq3-bq2+cq              ... (1) q= rate of output  a, b and c are…

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: Find the value of Marginal cost if the marginal cost function is given is :- 3Q2 - 42 And the…

A: The information being given to us:- Marginal cost function is as:- 3Q² - 42  Quantity is 5 units  We…

Q: Referring to the cost table above, what is the Marginal Cost of increasing quantity produced from…

A: TC = Total cost  that is related to production. It is the sum of Fixed cost and Variable cost. TC =…

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: A firm's long-run total cost curve is TC(Q)= 1000Q - 30Q² + Q³. Derive the expression for the…

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

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