Average cost Suppose the cost function for x units of a product is given by C(x) = V40,000 + x² dollars. Find the average cost over the first 150 units.

Q: Revenue The total revenue for a product can be calculated as the area under the demand curve.…

A: The demand function given is as, Dq=110q2-10q+260 in the interval 0≤q≤50. It is given that the width…

Q: Find all relative extrema of the function. Use a graphing utility to verify your result. (If an…

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Q: Newton's Law for conduction of heat says that dT dt k(Te – T) for some constant k > 0. Suppose that…

A: given dT/dt = k(Te - T)  so from this we will solve the question.

Q: Find the average rate of change of f(x) = x + 4x + 5 on the interval 5, t|. Your answer will be an…

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Q: Express the area of a triangle as a function of its altitude having a base of 4 units. Graph the…

A: The area of the triangle is calculated by multiplying the height, the base and 12. The volume of the…

Q: maximum revenue. R, then find the revenue.

A: For part (a) We have to find out the price for maximum revenue. The revenue function is given…

Q: kg A tank that is 5 m long and 1 m high is filled with gasoline. The density of the gasoline is 769…

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Q: Net change in cost A company’s marginal cost function is .1x2 - x + 12 dollars, where x denotes the…

A: The marginal cost function is C'(x)=0.1x2-x+12 By integrating the marginal cost function, we find…

Q: Discusses the optimization of multivariate functions. Also explain the conditions for multivariate…

A: A multivariable function is just a function whose input and/or output is made up of multiple…

Q: Maximum printable area A rectangular page in a text (with width x and length y) has an area of 98…

A: We will solve the following.

Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are…

A: Consider the given:  Find the profit function:…

Q: The table shows values of a function f(x). what is the average rate of change of f(x) over the…

A: We need to find the rte of change of f(X) in the interval 5 to 9

Q: average rate of change for f(x)=-3x2+6 from 0 to 2 from 4 to 6 from 2 to 5

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Q: Finding the Maximum Rate of Change Verify that the function L y 1 + ae-x/b> a > 0, b > 0, L> 0…

A: Given :               The function y = L1+ae-xb   Here a, b and L are positiveTo prove :…

Q: Find the average rate of change of f(x) = 4x - 5 on the interval [3, t]. Your answer will be an…

A: The average rate of change of a function f(x) in the interval [a, b] is given by fb-fab-a. The given…

Q: 18. Average cost. The average cost for Turtlehead, Inc., to produce x units of its thermal outerwear…

A: Given that, The Average Cost for Turtlehead, Inc. to produce x units of its thermal outerwear is…

Q: Optimization  area of  height= x , length= 21-2x , width= 5-2x  A= f(x) A= XY  what is the maximum,…

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Q: Finding the average rate of chang of f(x)=x2 -3 from x=2 to x=4. I know how to plug these in but…

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Q: Solution: 1. Critical Value = A Number of products to be tested %3D

A: The confidence level is 83% From the normal distribution the critical value be:   Thus, the…

Q: Marginal Cost Suppose the monthly total cost for themanufacture of golf balls is C(x)= 3450 +…

A: We have, the total cost for the manufacture of golf balls is given as Cx=3450+0.56xCx=0.56x+3450…

Q: total revenue and total cost functions for the production and sale of x TVs are given as R(x) =…

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Q: naximum value of f(x)

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Q: Current Attempt in Progress Suppose that the intensity of a point light source is directly…

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Q: The cost, in dollars, of producing x units of a certain item is given by (image) Find the…

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Q: f(x) = x3 − 2x2;    x = 0, x = 10 (a) Determine the net change between the given values of the…

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Q: A tank contains 60 kg of salt and  1000 L of water. A solution of a concentration 0.03 kg of salt…

A: Question is solved.

Q: The rate of change of the radius of a sphere is constant. The rate of change of the volume is? Show…

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Q: Marginal Revenue. Suppose the total revenue function for a blender is R(x)= 36x-0.01x2 dollars where…

A: The total revenue function for a blender is R(x)= 36x-0.01x2 dollars where x is the number of units…

Q: 750,000 + 0.55x 18) The average cost per unit, y, of producing x units of a product is modeled by y…

A: question 18 is based on inequality and linear programing. Attaching photo of solution.

Q: Using analytical methods, find all critical numbers (exact values) of the function.f(x) = 1/(x −…

A: f(x) = 1/(x − 1)^2 −1/x^2

Q: The rate of photosynthesis R for a certain plant depends on the intensity of light x, in lumens,…

A: Given the rate of photosynthesis, R(x)=180x-90x2 , where x is the intensity of light.

Q: Find the increase in cost if the production level is raised from 2500 to 8000 yards. Increase in…

A: The  marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 -0.01x + 0.000006x2…

Q: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

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Q: Cost Suppose the weekly cost for the production ofx units of a product is given by C(x) = 3452 +50…

A: C(x) = 3452 +50 ln(x + 1) dollars

Q: absolute minimum value of the function f(x) =4x² – 8x+1 over the interval (0,5 -3 4 2 III

A:

Q: The function for the the total cost for producing x units of a product is F(x)=24.8X+1,895. What is…

A: the total cost for producing x units of a product is f(x)=24.8x+1895 To find out the marginal cost ,…

Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is…

A: The given revenue function is R(x)=-12x3-4x-7  where 0≤x≤2 We know that the point of diminishing…

Q: 10) Marginal Cost: A company's marginal cost function is MC(x) = x ? + 4 dollars, where x is the…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = ey? The domain of…

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Q: The ordering and transportation cost C for the components used in manufacturing a 420 product is C =…

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Q: The cost in dollars of producing x units of a particular telephone is C(x) = x2 - 2500. a. Find the…

A: NOTE: Refresh your page if you can't see any equations. . take x=100 . take x=103

Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the…

A: Follow the procedure given below.

Q: Average and marginal costs Suppose the cost of producing x items isgiven by the function C(x) =…

A: given that the function is C(x)=-0.02x2+50x+100

Q: Minimum average cost. The cost of producing x units of a product is given by C(x) = 1,000 + 200x –…

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Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.05 cm is to be applied…

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Q: Find the average rate of change of the function over the given interval. y=4x+ 1; between x = 2 and…

A: given :y=4x+1    between x=2 and x=12

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.