53. Revenue A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x – 0.4x², where the revenue R(x) is measured in dollars. What is the maximum revenue, and how | many units should be manufactured to obtain this maximum?

Q: Maximizing revenue A sales analyst determines that the revenue from sales of fruit smoothies is…

A: Given revenue function: Rx=-60x2+300x where x is the price in dollars per item and 0≤x≤5

Q: 10 10 dentify the x-coordinate of the absolute maximum of f(x) based on its graph shown in the…

A: Given,

Q: 1. The demand function for a good is given by the equation P = a -bQ while the total cost function…

A: Use formula of profit  Put derivative of profit zero For inflection point second derivative is zero

Q: 5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. *+6. a) Find the area of…

A: In the given figure, a rectangle is bounded by x-axis, y-axis and the graph of y = -(2/3)x + 6. We…

Q: Q#6 What is the local minimum value of the function f(x) = x'(x + 4) X (9- 2x) The diagram shows a…

A: (a)  Let f(x) = x3(x+4)                      = x4+4x3Differentiating with respect to xf'(x)…

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

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

Q: 13. Approximate the local maximum values and local minimum values of f(x) = x³ – 5x + 1 on (-4, 4).…

A: Given: f(x)=x3-5x+1on the given interval (-4, 4)

Q: Enclosing a Rectangular Field Beth has 3000 feet of fencingavailable to enclose a rectangular…

A:

Q: 3. A newspaper company currently charges $6 per week to its subscribers, but is considering raising…

A: The revenue function is given by, R(x)=−750(x−40)(x+20) Here x is the number of $0.25 increases in…

Q: What’s the absolute maximum and minimum for x + 1/x

A:

Q: 1. The demand function for a good is given by the equation P = a – bQ while the total cost function…

A: 1) The demand function is P=a-bQ and the cost function is TC=dQ2+eQ+f. a) The profit function is…

Q: What is the local minimum value of the function f(x) = x^3(x + 4)

A: As per the company policy i can answer only first question for you, more than one answer lead me…

Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

A:

Q: 2. In a company if the revenue function is given by R(x) = 3(Z+ R)x – 0.2x² and cost function is…

A: the  revenue function R(x)=3Z+Rx-0.2x2 put z=4 andR=6 therefore, R(x)=3Z+Rx-0.2x2 R(x)=34+6x-0.2x2…

Q: 5) The daily profit in dollars made by an automobile manufacturer is P(x) = -30x2 + 1,560x - 1,470…

A:

Q: Find the minimum value of f(x) = 2^x - x^2 + 5 on the horizontal span of 0 - 6. Round to 2 decimals.

A: Given:

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

A:

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c)…

A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of…

Q: 27x Find the maximum and minimum values of the function f(x) = x – x+3 on the interval [0,7]. The…

A:

Q: 4 Find the absolute extrema of the function f(x) = -x* + 50x – 625 on the interval [- 6,6]. The…

A: From the given function:   fx=-x4+50x2-625   Now differentiate the given function and equate it to…

Q: Revenue A manufacturer finds that the revenue generatedby selling x units of a certain commodity is…

A: To find the maximum revenue

Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

A: The given function is:fx=x2+252xwhich can be written asfx=x22x+252x      =x2+252x

Q: Marginal cost is the additional cost imposed by the production of one additional item. Marginal…

A: Given that , Marginal cost Cn=9+n and Marginal benefit Bn=35×0.7n find the production level n for…

Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of…

A:

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c)…

A:

Q: Help.... do understand either question

A:

Q: f (x) = 2x² – x3

A: Given- fx=2x2-x3 To Find- The absolute extrema in the interval 0≤x≤3.

Q: The cost in dollars of making items ss given by the function C(x)=10x+300, (a) The fixed cost…

A:

Q: I+1 The maximum value of f(x) = on the closed interval -4, 4] is 748

A: Given,fx=x+1x2+8differentiating both the sides with respect to…

Q: a) f(x) is a quadratic function. The graph of f(x) decreases on the interval (-0, –2) and increases…

A: The general quadratic function is represented as f(x)=ax2+bx+c, where a, b, c are constants. The…

Q: The cost in dollars of making items is given by the function C (x) = 10x + 500. a. The fixed cost is…

A:

Q: 24. Maximizing Profit Suppose r(x) = x/(x² + 1) represents revenue and c(x) = (x - 1)/3 – 1/3…

A: Consider the given Revenue function is  rx=x2x2+1   Cost function is  Cx=x-133-13 The profit is…

Q: Find the minimum value of the function f(x)= ex^2+4x

A:

Q: 1. A firm has determined that total revenue is a function of the price charged for its…

A:

Q: 1 x²+100x 5) The revenue R (in dollars) of a certain product is modeled by the function: R(x) =…

A:

Q: 7. A product can be produced at a total cost C(x) = 800+100x²+x³ dollars, where x is the number…

A:

Q: 1.) The cost C of a product is a function of the quantity x of the product: C(x) = x² – 4000x + 50.…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the absolute extrema if they​ exist, as well as all values of x where they​ occur, for the…

A: To find the critical points we solve f'(x)=0…

Q: The function f(x)=2x^3−39x^2+216x+8 has one local minimum and one local maximum. This function has a…

A: the function given to us is f(x)=2x3-39x2+216x+8 first, we will derivate the function and keep it…

Q: (x² – 4)? attain the absolute maximum For what value of x does the function g(x) in the interval…

A: First find the derivative of function then draw the wavy curve and check derivative goes positive…

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

A:

Q: 1) A cost function is given by: C(x) = 38x + 12500, where x measures thousands of units produced. a)…

A: Consider the given cost function. C(x)=38x+12500 Here x is the thousands of units produced. a) The…

Q: se calculus to find the absolute maximum value and the absolute minimum value, if any, of f(x) on…

A:

Q: 1. The demand function for a good is given by the equation P = a – bQ while the total cost function…

A: Demand function for a good is defined by P=a-bQ                   (i) Total cost function is…

Q: f(x)= 36x + 3x^2 - 2x^3 where is f increasing? Where is f decreasing? For what x values, if any,…

A: First we will find it's derivative if derivative is greater than 0 in any interval that means f(x)…

Q: Find the maximum and minimum values of the function f(x) = x 64x x+4 on the interval [0,15]. The…

A:

Q: 2. Taylor wants to plant a 400 square foot rectangular garden along the side of her home. Since the…

A:

Q: 5. For the production of widgets the marginal revenue and marginal cost (in thousands of dollars per…

A:

Q: 11. (10 points) Find the absolute extrema of the function f(x) = x² – 10x + 200 on the interval [0,…

A:

Q: 1-The cost per unit C, in dollars, of producing xx off-road 4x4 ATV at a local manufacturing plant…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.