. Maximizing Revenue Suppose the revenue R in thousands of dollars that a company receives from producing x thousand DVD players is given by the formula R(x) = x(40 – 2x). Þ (a) Evaluate R(2) and interpret the result. (b) How many DVD players should the company produce to maximize its revenue? (c) What is the maximum revenue?

Q: Suppose that |x − 4| ≤ 1.(a) What is the maximum possible value of |x + 4|?(b) Show that |x2 − 16| ≤…

A: Given: that |x-4|≤1⇒ -1≤x-4≤1⇒-3≤x≤5

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A: We have to find - the number of riding lawn mowers to produce in order to minimize average cost,…

Q: Consider the following total revenue function for a hammer. R- 48x – 0.01x2 (a) The sale of how many…

A:

Q: *12. Ketura sells backpack danglies to tourists for $15 each, so her weekly revenue is R(x) = 15x.…

A: Weekly Revenue function is: R(x)=15xCost of making x danglies per week is given by:C(x)=15+8x+0.05x2

Q: Consider the Quadratic function f(x) = 9z? – 1. - Its vertex is ). The x value of its largest…

A: Vertex of quadratic equation is the highest or lowest pointy of the quadratic equation . Let we have…

Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

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A: The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by…

Q: 4. The function I results when the function f() = 2x" + 54x" is vertically stretched by a factor of…

A: Given The given function f ( x ) = 2x5 + 54x2

Q: Q2. A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A:

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: Let p= 23 - square root x and ​C(x)​= 254 +3x, where x is the number of garden hoses that can be…

A:

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A: We will find the answers to each part as following.

Q: Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A: Solution

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: The profit P (in dollars) generated by selling x units of a certain commodity is given by P( x) =…

A:

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?

A: In the interval [-2,2] the function g attain the absolute maximum at the point  x=0

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Compare the given cost function with the general quadratic function as follows.

Q: Consider the following total revenue function for a hammer. R = 20x – 0.01x² (a) The sale of how…

A: The revenue function of the hammer is R = 20x-0.01x2.

Q: 2) A medicine company has a total profit function P(x) = 592X2 + 0592X + 20, where x is the number…

A: Given:         Px=-592x2+0592x+20   where x is the number of items produced. differentiating with…

Q: A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A: A function f(x) will have its minimum value at a point x=a, when the first derivative of the…

Q: Consider the following total revenue function for a hammer. R = 24x – 0.01x2 (a) The sale of how…

A:

Q: 3. For the graph of the function f(x) = x² – 20x + 102, find the following: a. Use completing the…

A: To Determine: for the graph of the following a) use completing the square to find the axis of…

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: Assume the total revenue from the sale of x items is given by R(x) = 35 In (4x + 1), while the total…

A: Profit function, P(x)=R(x)-C(x)

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how…

A:

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: Given:- A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by…

Q: 2. Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A: The problem involves the revenue function and its graph (a parabola). Note that the units x and R(x)…

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

A:

Q: find c such that f(x)=-0.2x2-3x+c has a maximum value of -224. what is the value of c

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given b

A: Given relation - P(x) = 50x-0.25x2where,P(x) = Profitx = number of ticketsDifferentiating P(x) with…

Q: Consider the following total revenue function for a hammer. R = 60x − 0.01x2 (a) The sale of how…

A: a) Consider the given revenue function:

Q: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

Q: Consider the following total revenue function for a hammer. R = 28x − 0.01x2 (a) The sale of how…

A: The given revenue function is Rx=28x-0.01x2. (a) It is known that the maximum value occurs at the…

Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

A:

Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: (ii)The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x −…

A:

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² %3! (a) The sale of how…

A: Given Data: The total revenue function is: R=36x-0.01x2 (a) At maximum revenue, the derivative of…

Q: Consider the following total revenue function for a hammer. R = 20x - 0.01x2 (a) The sale of how…

A:

Q: Consider the following total revenue function for a hammer. R = 32x – 0.01x² (a) The sale of how…

A: a) R= 32x-0.01x^2 Differentiate with respect to x dR/dx = 32 -0.02x dR/dx=0 => x= 1600

Q: Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and…

A: The known fact is that any quadratic function represents a parabola equation having vertex as its…

Q: 2+7+12 Find the r-intercepts of the function f (x) = Enter your solution as a list of x-values,…

A: f(x)=x2+7x+12x2+6x-3For x-intercept, f(x)=0

Q: Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A:

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

A:

Q: Suppose the cost, in dollars, for a company to produce x items is given by the formula  C(x) =…

A:

Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.