The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced,find the: (i) marginal cost and (ii) marginal average cost

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: The cost, in thousands of dollars, of airing x television commercials during a sports event is given…

A: Marginal cost, C'(x) = change in total cost / change in quantity = δ(C)δx

Q: A county government hires lawyers to defend itself in lawsuits. The local government provides its…

A: Cost structure refers to the different types of cost associated with the production and selling of…

Q: A manufacturer's total cost equation per day is given by the equation TC = 440 + 4q+,0001Q². If each…

A:

Q: a bus which holds at most 45 people to go to an educational tour in a museum. The bus company…

A: Firms use the total cost function to compute their profits. The total cost function consists of…

Q: Find total cost if average cost is $11 and the output is 24 units

A: Average Cost (AC): - it is the average value of total cost incurred on a specific unite of output.…

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

A:

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: Find the marginal cost, if TC is 4+2Q

A: The provided total cost function is: 4+2Q

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 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: 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: 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: The total cost C for a manufacturer during a given time period is a function of the number N of…

A: Slope = 20 Initial Value = $1020 Formula  Total Cost = Fixed Cost + Variable Cost  Total Cost = 1000…

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: 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 a firm's total costs are $100 when 10 units of output are produced and $103 when 11 units of…

A: Marginal cost is the additional cost incurred with an additional unit produced.

Q: If the marginal cost is MC = 30'- +10, the fixed costs are 1, then the total cost TC= (A) Q'-e+100+5…

A: Given MC = Fixed costs = 1

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: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: C(x,y) =x2 + xy + 8y2 + 700x +y = 1800

Q: Consider the following cost function: C(Q) = 1000+0.1Q I| Calculate total costs when Q=100 O 1,001…

A: Total cost function shows the relationship between cost and output produced. To determine cost at a…

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: The average cost function is:- 3Q² - 14Q + 20 Find the total cost function

A: The information being given is:- We are given with the average cost function:- 3Q² - 14Q + 20 We…

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: When economies of scale are large, firms can reduce their average total cost by: Multiple Choice…

A: When firms have large economies of scale, they tend to merge with other firms to make up larger…

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: A manufacturer’s marginal cost (MC) function is given by: MC = 1000 √3?+12 Find the equation of…

A: Total cost is the summation of total fixed cost and total variable cost. Total cost function can be…

Q: Given the following cost functions: TC=100+60Q-3Q2+0.1Q3 TC=100+ 60Q+3Q2 TC=100 + 60Q In each…

A: TC=100+60Q-3Q2+0.1Q3 AC=TC/Q= 100/Q+60-3Q+0.1Q2 In this case FC= 100 VC= 60Q-3Q2+0.1Q3 AVC=VC/Q=…

Q: Given the cost function ,  TC = 4q2 + 9 - calculte marginal cost ?

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

Q: Consider the following function: Ĉ = 0.03q + 6 + 200/q - determine the approximate cost to increase…

A: Marginal cost is the change in the total cost due to the increment in quantity produced by one…

Q: Suppose a firm only has $100 thousand dollars to spend in purchasing iron I and copper C to…

A: A budget constraint is an economic word that refers to the total amount of products you can afford…

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

A: Given, AC = 3S2 + 2U2 - 2SU - 2S - 6U + 20                  -----------Equation i  According to the…

Q: The Barnes Center started selling first-aid kits for students in the pharmacy! When 300 first-aid…

A: The average cost is the per unit cost of the output and the marginal cost is the change in the cost…

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

A: Answer: Given, Total cost function: TC=$1,000+$6X Calculation: To calculate marginal cost, derivate…

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: The market for high-quality caviar is dependent on the weather. If the weather is good, there are…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A marginal cost fiction C'(q) is given in the figure below. If the fixed costs are $10,000,…

A: Marginal cost is defined as the cost of producing an additional unit of the output. Marginal cost is…

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: A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per…

A: Given: Price at which quantity sold = 2 TC= (1000 + 250) = 1250

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 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: 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: 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: If the total cost is C = 0.2Q³ – 4Q² + 1000, what is the marginal cost when Q = 10? A. 800 В. 20 C.…

A: Marginal cost is the change in cost in order to produce one more unit. Marginal cost is the first…