Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a point x miles from factory A toward factory B is  P(x) = 4x2 − 64x + 548  parts per million  (for 0 ≤ x ≤ 50).  Find where the pollution is the least.

Q: The manager of a small company that produces roof tile has determined that the total cost in​…

A: Consider the total cost C(x) in $ and the revenue cost R(x) in $. At BEP, the total cost function…

Q: The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and…

A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

A:

Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

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Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

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Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

A:

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: It is given that the total weight x of all output is y=0.06x+0.0006x2 where x and y are in pounds.…

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

A: Consider the price function defined as, p(x)=140-5x The cost function is defined as, Cx=2x+70 The…

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7.r dollars per…

A: Profit, pro(x) = xP - C(x)For maximum profit, put dpro(x)dx = 0

Q: A cell phone factory has a cost of production  C(x) = 175x + 30,000  and a revenue function  R(x)…

A:

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

A:

Q: The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the…

A: Topic = Functions

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 30x + 0.75x2,  where C…

A:

Q: A company that produces cell phones has a cost function of C = 28x²2 dollars and x is the number of…

A: The cost function of cell phones is C = 28x2-820x+20549 Where, C is cost in dollars and x is the…

Q: Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a…

A: The given function is,

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

A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

Q: If a company has a total cost C(x)= 18,000 +15 X +0.1 X^2 and total revenues given by R(x) =…

A:

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

A:

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue…

A:

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

A:

Q: If a company has total costs  C(x) = 35,000 + 55x + 0.1x2  and total revenues given by  R(x) =…

A: Given: C(x) = 35,000 + 55x + 0.1x2   R(x) = 625x − 0.9x2

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: If a company has total cost C(x) = 14,000 + 55x + 0.3x^2  And total revenues given by R(x) = 325x -…

A: The point at which the company or firm is at a point where the company is neither in its loss nor…

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find 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: If a company has total costs C(x) = 14,000 + 15x + 0.2^2 and total revenues given by R(x) = 285x -…

A: Given, Cx=14000+15x+0.2x2Rx=285x-0.8x2

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total…

A:

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

A:

Q: A business has a cost function C(x) = 110x + 489.65 and a revenue function R(X)= 245 x + 32.…

A:

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

A:

Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = - x…

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: The weekly revenue from the production and sale of x units of salt is given by R(x)=54x−x^2 thousand…

A:

Q: 4) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: Maximum number of mosquitoes

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

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx