A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.

Q: To produced x units of notebook, Aspen's notebook company finds its cost function as described by…

A: Given- Cx=30x2+400x+50. To Find- The marginal cost function and marginal cost function after…

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Marginal cost is the rate of change of total cost, i.e, c'(x).

Q: The total revenue function for a product is given by R=510x dollars, and the total cost function for…

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Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

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Q: A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

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Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: The labor costs to produce luxury yachts can be modeled by f(x) = (x² + 4x + 3)°, where x represents…

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Q: maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the nearest…

A: Please refer to the image below

Q: The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars…

A: Formula for revenue =(price per unit)×(number of units) Profit=revenue-total cost. To solve the…

Q: Suppose that for a certain company, C(x) = 15x + 2200 represents the total cost function, and R(x) =…

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Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: Find the maximum revenue for the revenue function  R(x) = 398x − 0.9x2.

A: Given revenue function R(x) = 398x − 0.9x2

Q: A clothing manufacturer has determined that the cost of producing T-shirts is $0.50 per T-shirt plus…

A: The production cost of t shirts is $0.50 per T shirt. The fixed cost is $315 per month. The selling…

Q: If the demand function of a good is P =radical(1000 − 4Q) find the value of Q which maximises total…

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Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: Given T-shirt production hiring model:T(x)=-0.5x4+4x3,0≤x≤6we need to find1)when is the rate of…

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A: Given the marginal cost function, M(x)=f(x)=x2-2x+3.

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

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Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

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Q: A retailer has been selling 2,000 computers a week at $850 each. The marketing department predicts…

A: Let the price was lowered by $10 , x times  So the new price= (850-10x) Number of computers sold=…

Q: Find the maximum revenue for the revenue function  R(x) = 355x − 0.9x2.  (Round your answer to the…

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: The demand function for a tablet is given by the model where p = 200 – 16x2 is measured in dollars…

A: Given- The demand function for a tablet is given by the model where p = 200 - 16x2 is measured in…

Q: The demand function for a tablet is given by the model p = 200 – 16x2 where p is measured in dollars…

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Q: An island is 12 mi from the nearest point on a straight shoreline; that point is 15 mi from a power…

A: topic - application of derivatives

Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: Find P(x), the profit function.

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Q: For the cost function C(x) = 720+4x + 0.02x² dollars and price function p(x) = 15 – 0.002x dollars,…

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Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

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Q: The demand function for a tablet is given by the model where p=200-16x^2  is measured in dollars per…

A: Demand function in above question is written wrong. Values of p should be positive but in your case,…

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: Given function is Px=5x+30x2-2.5x3 for 0≤x≤6. Compute the derivative. P'x=5x+30x2-2.5x3'…

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: The point of diminishing returns for the profit function is the inflection point of the function. To…

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the…

A: To find:   maximum revenue for the revenue function    R(x) = 372x − 0.7x2 for maximum revenue , we…

Q: The demand function for a calculator is given by p = D(x) = 225 – 0.03x² dollars. Find the level of…

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Q: Derive the number of tablets that the company could sell to make the same amount of profit

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Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

A: Given- Demand equation 4p3x2=33,600 To determine- the rate at which sales are changing at a time…

Q: Suppose that the cost (in dollars) of manufacturing x items is approximated by the formula C2 = 2x +…

A: The cost of manufacturing x items is given by the following formula C2 = 2x+x2 To evaluate: The…

Q: The supply for a particular item is given by the function S(x) = 17 + 0.36x² . Find the producer's…

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Q: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel…

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Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

Q: Find the maximum profit and the number of units x that must be produced and sold in order to yield…

A: Given: The revenue function is Rx=x2+110x+60. The cost function is Cx=1.1x2+10x+80.   Determine the…

Q: The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars…

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Q: Find the maximum revenue for the revenue function R(x) = 385x-0.6x^2. (Round your answer to the…

A: Given, Rx = 385x -0.6x2   We have to find the maximum revenue  for the revenue function R(x).

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: