Suppose the profit from the sale of x units of a product is P = 6400x – 18x2 - 400. (a) What level(s) of production will yield a profit of $61,800? (Enter your answers as a comma-separated list.

Q: r believes that the profit P, in dollars, from selling x tickets is given by  P(x)= 35x − 0.25x2.…

A: Given P(x) = 35x - 0.25x2 → 1For maximum profit put P'(x) = 0⇒ P'(x) = 35 - 0.25(2x)⇒ P'(x) = 35 -…

Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: Var(X)=3, what is Var(2X + 1)?

A:

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Given: The cost of inoculating x% of the susceptible population is given by the function:…

Q: _f(x) 6 5- -4- 3 1- -4 -3 -2 -1 3 -1- 4. 2- 2.

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Q: Show how x²+x-30_x²-3x-10 simplıfies to & *6 x-3 X+2 X-3 Plot the functon

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Q: Suppose the profit, in dollars, for selling x units of a certain product is P(x) = - 76x + 1824x +…

A: Given that: P(x)=-76x2+1824x+61

Q: The rising college costs from 2000 through 2014 can be modeled by the formula T = 394x + 3123, where…

A: Given:                         T= 394x +3123   To determine:                           The value of…

Q: The total costs for a company are given by C(x) = 3000 + 20x + x^2  And the total revenues are…

A: The breakeven point is obtained when the total cost is equal to the total revenue.

Q: If Var[x]=0.4, what is Var[2x+1] = ?

A: According to the given information, we have Var[x] = 0.4

Q: If total costs are  C(x) = 1500 + 1420x  and total revenues are  R(x) = 1500x − x2,  find the…

A: Given that the total costs, Cx=1500+1420x Total revenues are Rx=1500x-x2 Break-even points are those…

Q: how to find break even point of the profit function p(x)=-55-6x+0.2x2

A:

Q: The total costs for a company are given by C(x) = 4000 + 50x + x² and the total revenues are given…

A: Concept - Break-even point is a point at which revenue becomes equal to the cost.Given cost - C(x) =…

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A:

Q: Suppose that "x" years after its founding in 1974, a certain national consumers association had a…

A: Given equation is  f(x) = 100 (2x^3 - 45x^2 + 264x) If f'(x) =0 then  100 (2x^3 - 45x^2 + 264x) =0…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: The total costs for a company are given by C(x) = 1500 + 60x + x2 and the total revenues are given…

A:

Q: Find the maximum product of two positive numbers with the sum of 300.

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Q: If Var(X)=3, what is Var(2X + 1)?

A: GivenVar(X)=3

Q: The total costs for a company are given by C(x) = 4000 + 50x + x² %3D and the total revenues are…

A: Break-even point is a point where total cost and total revenue equals.Given - Total Cost,C(x) =…

Q: How is the graph of f(x)= (5)^3 √x related to the graph of the cube root function ^3 √x ?

A: Transformation rule: Consider two functions fx and a·fx. case (i): (If a>1) The graph of the…

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A:

Q: The revenue for a product is given by: R(x) = x³ – 10x² – 25x – 60 Is the revenue increasing or…

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Q: A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an…

A: Topic = Algebra

Q: 1. What is the value of 4x +x' when x- 16?

A:

Q: What is the sum of all y-coordinates of the inflection points of f(x)=x³-5x4+3x-2?

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Q: 2x - 8(x)^1/3

A: Given: 2x-8 x3 To find: The oblique or slant asymptote.

Q: What is the sum of all y-coordinates of the inflection points of f(x)=x^5 - 5x^4+ 3x - 2?

A: An inflection point is a point on the graph where the second derivative is equal to zero or…

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The…

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: Is a product of two positive decimals each less than 1 always less than each of the decimals?

A: To state the give statement is true or false.

Q: Where is /(x) = 4(x=2)^ + 2(x-2) increasing?

A: We first find f'(x) using the power…

Q: if the profit from the sale of x units of a product is p=900x-200-x2 what level of production yeilds…

A: Given the profit from the sales of x units of product is p=900x-200-x2.

Q: The annual net sales (revenuel eamed by Nintendo in the fiscal years 2000 - 2014, can be…

A: Consider the revenue equation Rt=-3.75t3+65.8t2-206t+578. Since the given interval 0≤t≤14 is from…

Q: f(x) -10 -8 -6 –4 -2 4 8 10 1 -2 -3 -4 - 6 -가 -8F 2. 1.

A:

Q: Suppose that the total revenue function for a commodity is R = 36x - 0.02x2.

A: d) The given revenue function R(x)=36x-0.02x2 At x=101 R(101) = 36*101-0.02*(101)2 = $3431.98…

Q: Explain the theory, arithmetic and rationale behind the multiplier model.

A: The multiplier is the representation of  the ratio of  overall increment of real GDP to the…

Q: Given that f(-6) = 3 and f'(-6) = 3, approximate f(-6.5). f(-6.5) -

A: Given that  f(-6) = 3 and  f'(-6) = 3,

Q: What is the difference between the maximum and minimum of the quantity x2y2/87, where x and y are…

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Q: If the profit from the sale of x units of a product is  P = 75x − 200 − x2,  what level(s) of…

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Q: f(x) 5 -6 -4 -2 4 6 -5 - 10 2)

A:

Q: 3. Explain why 6 would be an extraneous solution to the function below: x-6

A: Topic:- solutions of equation

Q: What is the remainder when f(x) = (x - 2)54 is divided by x - 1?

A: Given,

Q: Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is…

A: Consider the given revenue.

Q: A company can manufacture xx hundred items for a total cost of C=500+900x-100x2. Find x if the total…

A: Given: total cost of C=500+900x-100x2. Find x if the total cost is $1,900. To find x .

Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: the profit for a product is given by P(x) = -15x^2+1500x-24,000, where x is the number of units…

A:

Q: The total cost for a company are given by c(x)=5600+70x+x^2 And the total revenues are given by…

A:

Q: What is the sum of all y-coordinates of the inflection points of f(x)=xS-5x4+3x - 2?

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Q: 1. Construct and simplify the difference quotient for f(x) = 4x² – 3x – 7. -

A: