The cost function of producing Q units of good s.t: C(Q) = 4Q² + 16Q + 40 Write down the average cost and marginal cost. Find the value of Q which minimizes average cost? (Show necessary and sufficient conditons) %3D

Q: A firm's average total cost of production is Rs.300 at 5 units of output and Rs.320 at 6 units of…

A: A firm's average total cost of production is Rs.300 at 5 units of output and Rs.320 at 6 units of…

Q: The cost function of producing Q units of good: C(Q) = 4Q2 + 16Q + 40 Write down the average cost…

A: Total cost: ‘total cost’ is the amount that includes all the expenses that are paid to produce a…

Q: On the side, the marginal cost (MC) function of a firm is given. As it is known that the fixed cost…

A: Marginal cost is the additional cost a firm incurs when he increases the production by 1 more unit.…

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A: The TC (total cost) demonstrates the sum of FC  (fixed cost) and the VC (variable cost). And the MC…

Q: The cost function of producing Q units of good s.t:

A: ‘Total cost’: ‘Total cost’ is the amount that includes all the expenses that are paid to produce a…

Q: The marginal cost function is MC = 100 – 20x + x², then the cost function is Select one: а. C(x) =…

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

A: Average total cost is total cost divided by total output produced,  ATC = TC / Q Marginal cost is…

Q: The increase in total cost that results from producing one more unit of output is the marginal cost.…

A: The firm produces various goods and services which incurs cost. The firm would result 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: In the short run with fixed amount of at least one input, the law of diminishing returns must apply,…

A: When the one input is fixed then the firm experience diminishing returns because adding one more…

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: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Answer to the question is as follows:

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

A: Given data: Total cost function TC=$1000+$6X Quantity X=3000 units

Q: A firm’s objective is to Maximize Profits and Minimize Costs. Demand is Q = 600 – 3*P. The firm’s…

A:

Q: The cost to produce x units is given by C ( x ) = 0.03x2 + 8.8x + 1600 + 6.8 square root of x.  Find…

A: Marginal-Cost(MC) is the cost(c) of producing one additional unit. Given the cost-function(c(x)),…

Q: Question A5 For a particular product, Marginal Cost (MC) = Q + 5. Find an expression for Total Cost…

A: "Marginal cost is addition to the total cost when more unit of output is produced and it is obtained…

Q: the cost to maintain inventory for the weather balloon is given by C (x)= (21500/x)+2.4x, where x is…

A: We are going to derive the Marginal cost expression and theory behind it to answer this question.

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

A: Costs are the expenses that firms have to incur in all of their production activities.

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

A: The isoquant line shows the different combinations of factors of production required to produce a…

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: When a firm produces one unit, the variable cost is $3. When the firm produces  two units, the…

A: Given information: Variable cost when the firm produces 1 unit = 3 Variable cost when the firm…

Q: If the firm is maximizing profits, total cost is represented by the area

A: Here the supply curve is the curve depicting how much production of manufacturing goods is being…

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: The average cost per item to produce  q  items is given by           a(q)  = 0.3q2 -0.7 q + 11 for…

A:

Q: For the given cost function C(x)=250√x+ x^2/3375 -find a) The cost at the production level 1100…

A: Given: C(x) =250x+x23375

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: A firm has access to two production processes with the following marginal cost curves: MC1 = 0.25x…

A:

Q: A firm face the production function: Q=120L+200K-L2-2K2 It can buy L at N5 a unit and K at N8 a unit…

A: Given  A firm's production function is in the form of  Q=120L+200K-L2-2K2           ....... (1) Cost…

Q: When a firm produces one unit, the variable cost is $3. When the firm produces two units, the…

A: The variable cost of the first unit = $3 The variable cost of the two units = $6

Q: Production Function: q=32n+2nl+16l n is the size of net l is the hours of labor employed Total…

A: Given  Production function: q=32n+2nl+16l       ... (1) Total cost function: C=14+2n2+4l2        ...…

Q: A firm has access to two production processes with the following marginal cost curves: MC1 = 0.25x…

A: A firm minimizes costs when it distributes production across the two process so that marginal cost…

Q: The marginal cost of producing the xth box of DVDS is 15 + and the fixed cost is $100,000. Find the…

A:

Q: Diminishing returns A cost function of the form C(x) = 1/2 x2reflects diminishing returns to scale.…

A: According to the question, C(x) = ½ X^2 AV(x) = C(x)/x           = ½ x MC(x) = C’(x)             =x

Q: What is the fixed cost of production

A: Given, MC(q) = 6 + (9/10) * q By integrating this function, we can get Total Variable Cost (TVC)…

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: The cost, in dollars, of producing æ units of a certain item is given by C (z) = 5x – 4/7 – 1. Find…

A: Average cost (AC) is defined as the per unit cost of producing a commodity.  AC = TC/x

Q: Q15 _____ cost declines over the whole range of output. a. Average variable. b. Total variable. c.…

A: Total fixed cost (TFC): - it is the cost incurred on the fixed capital assets like land, building,…

Q: The marginal cost of producing the xth box of light bulbs is 4 + dollars per box. Determine how much…

A: Given: Marginal Cost (MC)of xth element : 4+x^2/1000 dollars per box Total Cost(TC) of xth element:…

Q: The total cost C of making x units of a commodity is given by C = 0.005(x)3 + 0.45(x)2 + 12.75(x).…

A: Given: Cost: C = 0.005(x)3 + 0.45(x)2 + 12.75(x) Sales price per unit=$36.75 Profit: P = 36.75(x) -…

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: The cost curve for producing widgets passes through the following points and is piecewise linear in…

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

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: 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: manufacturer!s total cost is C(x) = 0.1x3 - 0.25x2 + 300x + 100 dollars, where x is the level of…

A: We calculate the total cost with x=6 and x=6.1 and then see the difference. TC(6) = 0.1(6)3 -…

Q: The MARGINAL cost (in dollars) for a certain product is given by C'(x) = 18x + 3 . If the overhead…

A: Total cost of production is the cost expenditure incurred on the the production of the good or the…

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