The marginal monthly cost of maintaining a group of summer student intern at love.com is computed by: c(x) = 1000(x + 3)^2 / (8 + (x + 3)^3)^3/2 Compute, to the nearest $100 , the total monthly cost of love.com increases the size of the student intern program from five students to seven students

Q: Assume that it costs that same company approximately C ( x ) =62,229+5,573x +0.033x 2 dollars to…

A: The given cost function is Cx=62,229+5,573x+0.033x2. It is known that, the average cost function can…

Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to…

A: Given data-  C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x).

Q: Suppose that the marginal-revenue function for a manufacturer's product is = 100 – , the…

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Q: Suppose the daily cost, in dollars, of producing x television is C(x)=.003x3+.1x2+71x+540 and…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by to…

Q: Joe runs a carwash stand and finds out quickly that for this business to breakeven he needs to wash…

A: The number of cars need to be wash is 10 and the washing price per car is $5.The total washing cost…

Q: Find the marginal average cost function of each function defined as follows. C(x) = 10 - e-x

A: Given: Cx=10-e-x To Find: The marginal average cost function

Q: If the marginal cost for a product is MC=2x+5 and the production of 10 units results in a total cost…

A: Given that marginal cost for a product is MC=2x+5 This means:…

Q: Approximate the total profit

A: In this question, we have to find the total profit when 180 inrolled. we have marginal profit given…

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 228 + 0.7x and R(x) = 4x –…

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Q: Suppose that a price-demand function is given by P(x)=100+10x−4x2. Calculate the marginal revenue…

A: Calculation:The price demand function is P(x) = 100+10x – 4 x^2.In order to calculate the marginal…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 224 + 0.8x and R(x) = 8x…

A: Marginal profit function is equal to the difference between marginal revenue and marginal cost…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 27, find…

A: MR=-0.2x+27 Marginal revenue is the derivative of the total revenue.

Q: Find the cost function for marginal cost function  C′(x) = x2/3 + 2;    8 units cost $58

A: The marginal cost function is the derivative of the cost function. Hence the integration of the…

Q: Find the total cost function​ C

A:

Q: The marginal cost at a production level of x is given by c`(x)=85+375/x². find the cost of producing…

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Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 37, find…

A: Follow 2nd step. We find out R(x).

Q: A manufacturer has determined that m employees will produce a total of q units of product per day,…

A: the marginal-revenue product is given by dR/dm where R is the revenue. Using the chain rule of…

Q: Suppose the marginal propensity to consume is given by : dC/dy = 0.22 - 0.25/(SQUARE ROOT 0.5y+1)…

A: The given function of marginal propensity to consume is:  dCdy=0.22-0.250.5y+1

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

A:

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

A: The estimated marginal profit associated with producing x widgets is given by: P'(x)=-0.6x+24…

Q: Suppose the marginal propensity to consume is given by: DC/DY=.03- .2/Square root of (y), (in…

A: We have given dCdy= 0.03 - 0.2y.

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) =…

A: Answer: The solution is given below:

Q: The Bayes' Poker Table Company determines that the marginal cost, in dollars, for producing the xth…

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Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

A:

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

A: Given: C'(x)=0.000005x2-0.0025x+3, x≤350 Approximate total cost for 3 subintervals, [0,258] using…

Q: . If the profit for a product is given by P(x) = 20Vx +1– 22x – 22 thousand dollars, what is the…

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Q: If the revenue function for a certain item is R(x) = 20x – 0.25x², what is the marginal revenue for…

A: Given : If the revenue function for a certain item is Rx=20x–0.25x2 To find : the marginal revenue…

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is C'(x)= 1.99…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A:

Q: Consider the following marginal cost functions. a. Find the additional cost incurred in dollars when…

A: Given marginal cost function is C'x=200-0.05x

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.6x + 41,…

A: Revenue fuction=∫MRdx +c

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

A: \

Q: find the marginal revenue at a production level of 1,600 pairs  x= 4,000- 40p

A: To find marginal revenue , first find out the revenue function using the given equation. Solve the…

Q: Given a cost function C(x) as C(x)=120+2x, calculate the marginal average cost when x=5, and use…

A: The average cost function=A(x)=C(x)x=120+2xx=120x+2Marginal average cost function…

Q: Suppose that the revenue in dollars from the sale of x campers is given by R(x) = 68,000x +…

A: Given Revenue in dollars from the sale of x campers is Rx=68,000x+48,00010+x-1-8000 To find the…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

A: Given marginal cost function, C'x=0.000008x2-0.004x+5, for x≤350 Find the total cost.

Q: The weekly cost of producing x jackets is given by the function C(x) = 1800 + 21x + 0.15x. Find the…

A: For the following problem,

Q: Given a cost function C(x) as C(x)=120+2x, calculate the marginal average cost when x=5, and use…

A:

Q: The weekly cost of producing x hats is given by the function C(x)=2800+26x+0.3x.  Find the marginal…

A:

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

A:

Q: Consider the following marginal cost functions. a. Find the additional cost incurred in dollars when…

A: Given, C'x2=2000-0.5x Part a: C'x=2000-0.5x Additional cost incurred when production is increased…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 47, find…

A: given that , if the marginal revenue for a month for a commodity is MR¯=-0.6x+47. we have to find…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = −0.2x + 43,…

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Q: Assume that it costs a company approximately C(x)=760,744+435x+0.019x^2 dollars to manufacture x…

A: differeniate w.r.t x

Q: Assume that it costs a company approximately C(x) =664,641+580x+0.019 x² dollars to manufacture x…

A: The cost function is c(x)=664641+580x+0.019x2

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° + 0.07x² + 16x +…

A: