It is estimated that the cost of constructing an office building that isn floors high is C(n)=2n +500n+600 thousand dollars. How many floors should the building have to minimize the average cost per floor?(Must be whole number answer)

Q: A company that produces cell phones has a cost function of C = 9x - 55x + 5652, where C is the cost…

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Q: A rectangle has a perimeter of 40 inches. What are the dimensions (width and length) of the…

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Q: The price of A is $16 per unit and the price of B is $2 per unit and you will spend $128. How many…

A: It is given that the price of A is $16 per unit and the price of B is $2 per unit. The amount to…

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Q: A small manufacturing company can sell all the items it produces at a price of $ 5 each. The cost to…

A: Based on given data detailed solution is provided

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A: R(x) = Price x Quantity = P(x).x

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Q: A patient's pulse measures 74 bpm, 108bpm, then 112 bpm. To determine an accurate measurement of…

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Q: A company that produces cell phones has a cost function of C = cost in dollars and x is the number…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

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Q: A rectangular page is to contain 50 square inches of print. The page has to have a 1-inch margin on…

A: GivenArea of printed  pages=50in2Margin at top and bottom =1 inchMargin on each side=12 inch

Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: A patient's pulse measures 75bpm, 82bpm, then 108bpm. To determine an accurate measurement of pulse,…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

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Q: A company that produces cell phones has a cost function of C = 20x2 cost in dollars and r is the…

A: Given query is to find the value of x to minimize the cost.

Q: A company that produces cell phones has a cost function of C = 15x² cost in dollars and æ is the…

A: Given: C(x)=15x2−365x+5783where,C→Cost in dollarsx→Number of cell phones produced (in thousands)

Q: A company that produces cell phones has a cost function of C = 4x² – 50x + 13298, where C is the…

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Q: A company's profit when it sells x thousand items is predicted to be P(x) = – 2x2 + 880x – 15000. a)…

A: function P(x)=-2x2+880x-15000 is given, Where in begining No items will be Sold.

Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: (a) Suppose that c(x) = x³ – 20x² + 20, 000x %3D is the cost of manufacturing x items. Find a…

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Q: Please see image attached, thank you

A: Revenue function and cost function are Profit function is

Q: What is the minimum value of 3x 4x +1 and for what value of x does it occur?

A: We have to find the minimum value of 3x2-4x+1 and for what value of x does it occur.

Q: Find the number in the interval[-5,5] so that the sum of six times the number and its square is…

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Q: A company that produces cell phones has a cost function of C-52²-1852 +17363, where is the cost in…

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Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: A company that produces cell phones has a cost function of C = 112² - 244x + 12581, where C is the…

A: The cost function is given as: C=11x2-244x+12851   We know that, at the minimum value, the…

Q: A patient's pulse measures 72 beats per minute, 81 beats per minute, and then 115 beats per minute.…

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Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 500 tickets per day.…

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Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

Q: Suppose that c(x) = x3 - 20x2 + 20,000x is the cost of manufacturing x items. Find a production…

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Q: A patient's pulse measures 70 bpm, 80 bpm, then 120 bpm. To determine an accurate measurement of…

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Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: Suppose C(x)=x^2−6x+17 represents the costs, in hundreds, to produce x thousand pens. How many pens…

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Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: given ,  measure of cardboard , length =32 inches   and   breadth = 20 inches

Q: The cost, in thousands of dollars, of airing x 30-second television commercials during a major…

A: Given: The cost, in thousands of dollars, of airing x 30-second television commercials during  a…

Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: Find the value of x that minimizes average cost if the cost function is C = x2 +5x+72

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Q: The total cost function for a product is  C = 3x2 + 59x + 243.  How many units must be produced to…

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Q: Mr. Sample wants you to draw a picture on a piece of paper with 2 inch margins and 1 inch margins on…

A: The objective is to find the length and width of paper.

Q: 3. The cost for making x gizmos is C(x) = x2 - 8x + 30. How many gizmos should be made to minimize…

A: Given C(x)=x2-8x+30

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: A company that produces cell phones has a cost function of C = 12x2 – 89x + 16981, where C the cost…

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Q: You have 800 feet of fencing to make a pen for hogs. If you have a river on one side of your…

A: We have to make a pen for hogs with 800 feet of fencing. There is a river on one side of the…

Q: A company that produces cell phones has a cost function of C = 28x² in dollars and x is the number…

A: We have to find

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,

Q: Find the dimensions of the rectangular box with largest volume such that the sum of the lengths of…

A: Consider the provided question, Let the dimensions of the rectangular box are x, y, z.