Suppose an airline policy states that all baggage must be box shaped with a sum of length width and height not exceeding 156 in. What are the dimensions and volume of a square based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square volume.  The interval of interest of the objective function is? The length of the square edge is? The box height is? The greatest volume of the box is?

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

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Q: We found that the marketing research department for the company that manufactures and sells memory…

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A: Let's find.

Q: Suppose we want to best-fit a quadratic function: y=kx2 to three data points as shown below:

A: Given that  Data points are 1, 1, 2, 3, 3, 8 Equation of Best fit curve is y=k x2 Error  di=k xi2…

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x +…

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Q: If the total revenue function for a computer is  R(x) = 2200x − 17x2 − x3,  find the level of…

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Q: Find the minimum  of the function f(x) = 2x3 + 3x2 − 12x + 17

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Q: If the profit function for a firm is given by P(x) = −1600 + 170x − x2 and limitations on space…

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Q: The demand function for a particular brand of LCD TV is given by  p = 2970 − 30x  where p is the…

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Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

A: f(x)=1392-3x The company's revenue is R(x)=x(1392-3x)R(x)=1392x-3x2 Now we need to find out the…

Q: If the total revenue function for a computer is R(x) = 2600x − 11x^2 − x^3, find the level of sales,…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: A firms production function is Q(L) = 15L2 - 1L3 , where output (Q) is a function of a single input…

A: A firm's production function is Q(L) = 15L2 - 1L3 , where the output (Q) is a function of single…

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Q: In the following problem: Determine the dimensions of the rectangle with a diagonal of 15 cm and the…

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Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: NOTE: Refresh your page if you can't see any equations. . cost and revenue functions are  the…

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Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Solution:GivenR(p)=-4p2+4000pTo find the unit price when revenue is maximum.Also find the Maximum…

Q: B- Find the extreme points of the function F-X, + (X+1)²+ (X+1)? Find the objective function to the…

A: Let us consider a function f(x,y) then the extreme point is obtained as  Find the value of…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

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 printed poster is to have a total area of 709 square inches with margins of 6 inches and side…

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Q: Suppose that the selling price P of an item to the quantity x sold is given by P = -+x+ 50. Osxs 200…

A: As the question have more than 3 sub parts I'm solving the first three parts. Re post the question…

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: Length of the box = (19-2x) ft Width of the box = (11-2x) ft Height of the box= x ft

Q: If a profit function of a firm is given by P(x) = -1500 + 160x - x^2 and limitations on space…

A: Given - If a profit function of a firm is given by Px = -1500 + 160x - x2 and limitations on space…

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Q: Suppose that the revenue and cost functions for a particular company are given by R(x) = – 3x² +…

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Q: A firm has identified that total profit P as a function of the number of units of two products…

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Q: If the total revenue function for a computer is R(x) = 2600x – 11x2 – x3, find the level of sales,…

A: Given,The total revenue function for a computer isR(x)=2600x-11x2-x3

Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

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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: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

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

A: Given  R(x)=x2+110x+60C(x)=1.1x2+10x+80