Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)=7000+6x+0.01x^2+0.0002x^3. (a) Find the marginal cost function. (b) Find the marginal cost at x=100 (c) Find the cost at x=100

Q: firm's average cost (AC) per unit of output depends on the number of hours of skilled labor (S) and…

A: AC = 3S2+2U2- 2SU-2S-6U+20

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

A: Average cost measures the per unit cost of production.

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

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

A: Answer - Given in the question - TC = $1,000 + $6X Here  TC = Total cost  X is no. of widget  Need…

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: 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: 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: A manufacturing plant that makes boomerangs has a fixed cost of $500/day and a variable cost of…

A: Given Data,  Fixed cost of $500/day. variable cost of $40/hr.

Q: Suppose a laptop manufacturer has the given total cost function and the given total revenue…

A: Here, total cost function and total revenue function are given as: C(x) = 200x + 8000  R(x) = 500x…

Q: A company is planning to manufacture mountain bikes. The fixed monthly cost will be S100,000 and it…

A: Given that fixed monthly cost for manufacturing mountain bikes is $100,000. Cost of each bicycle is…

Q: If marginal cost is greater than average total cost, then average total cost must be increasing.…

A: The marginal cost curve is downward sloping when it is below ATC. At the same time ATC is also…

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: 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: Since marginal cost is the reciprocal of marginal product times the input price, it decreases as…

A: The marginal cost refers to the additional cost incurred on production of an additional unit of…

Q: If c=3q-3q2+q3is a cost function, when is marginal cost decreasing?

A:

Q: Define the cost function c(w1,w2 ,y) =w1×1(w1,w2.y) + w2x2(w1,w2,y). Show that the cost function is…

A: Given function C(W1,W2,y)=W1X1(W1,W2,Y)+W2X2(W1,W2,Y) Here W1=first input prices W2= second input…

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 profit, P(x), generated after producing and selling x units of a product is given by the…

A: Given, The quantity of roast beef sandwich = x The total cost per week represent by = C(x) The fixed…

Q: What is the marginal cost, if the cost function given is C(Y)=6 a) Y? b) 3Y c) 6Y d) 12Y

A: Marginal cost refers to an additional cost that occurs from producing one more unit of output.

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

A: Cost is minimized when isoquant is tangent to the isocost line. The isoquant Q = 100 is tangent to…

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 cost function ,  TC = 4q2 + 9 - calculte marginal cost ?

A: Marginal cost is the cost incurred when producing one additional output.

Q: The total cost of producing q items is given by the formula C(q) = -q^3 + 40q^2 +1000, e.g. C(10)…

A: Total cost- It is the sum of all types of costs involved in the production.

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: Find the cost function for the marginal cost function. c'(x) = 0.06 e 001x. fixed cost is S7 C(x) =|

A: We are going to find total cost function by integrating marginal cost function to answer this…

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: 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: 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: 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: A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is…

A: We have the following information- Fixed cost = $25,000Variable cost function, V(x) = 0.000001x3 -…

Q: The weekly cost C of producing x units in a manufacturing process is given by  C(x) = 60x + 2250.…

A: The cot function i given as C(x) = 60x + 2250.

Q: The fixed overhead expense of a manufacturer of children’s toys is$400 per week, and other costs…

A: Dear student, you have asked multiple sub-part questions in a single post and have not mentioned…

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: The business venture involves the sale of decorative jewelry cases. It costs the startup $280 to…

A: Answer: Given, The total cost of producing 40 jewelry cases = $280 The total cost of producing 60…

Q: Assume that it costs a company approximately C(x) = 400,000 + 180x + 0.001x2 dollars to manufacture…

A: Answer: Given, Cost function: Cx=400,000+180x+0.001x2 (a). To find the marginal cost function let us…

Q: The inventory cost C of stocking a lot of size x is given by the function C(x)=8.1x+5,000x−1+675.…

A: