A manufacturer finds that the profit obtained by selling x units of a certain product is given by the function P(x) = -0.2x² + 400x – 2500 (in dollars). What is the maximum profit and how many units should 2. be manufactured and sold to obtain this maximum?

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

A:

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

Q: Find the absolute maximum value of g(x)=−2x^2+2x+2 over [−3,5].

A:

Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

A:

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

A: Given  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

A:

Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x°…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: What is the relative maximum value of the function f (x) = 2/x – x?

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A:

Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given revenue function

Q: f (x) = x²-4x + 3, determine x such that f (x)> 3. what is the maximum value ?And the minimum value…

A: Given query is to find the values of x such that f(x) &gt; 3.

Q: Find the absolute maximum value of g(x)=−2x^2+x−1 over [−3,5].

A:

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Follow the procedure given below.

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

A:

Q: An appliance company determined that in order to sell X dishwashers, the price per dishwasher must…

A:

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

A: Given,  p=-16x+26

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: topic - application of derivatives $9000 at 75 units

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: For maximum Revenue : take the derivative of R(x) and equate to zero.

Q: The weekly revenue (in dollars) earned from selling x porcelain vases is given by the function R(x)=…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Recall the following. A quadratic function fx=ax2+bx+c can be expressed in the standard form…

Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

A:

Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

A:

Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

A:

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: 8. Suppose that 2+ V4 - x2 -2 2 If F(0) = 2, find the maximum value of F(x).

A:

Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

A:

Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: Given that, The price demand function is px=70-0.25x and the cost function is Cx=0.5x2+10x+800. We…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: At maxima or minima of a function f(x), f'(x)=0

Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

Q: Find the absolute maximum and absolute minimum values of f(x) = 2x2 −20x+550 on the interval[1,10]

A:

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

A:

Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

A:

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: Find the minimum and maximum of x3+3x². on the interval [0, 3].

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.