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) = 3x2 − 48x + 514  parts per million  (for 0 ≤ x ≤ 50).  Find where the pollution is the least.x =           mi

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A: Let's find.

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A: Consider the provided question, (3)

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A: Given:     P(x) = -4x2 + 40x + 3

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

A: Given that: y=0.06x+0.0007x2

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A:

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

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

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Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

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A: Topic = Functions

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A: We have given the cost function C(x)=0.5x^2-210x+26250

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Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

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Q: The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x)…

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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) =…

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Q: Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x² and total revenue function given…

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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: 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

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

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A: The profit function P(x)  is revenue function R(x)  minus cost function C(x).

Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

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Q: A company that produces cell phones has a cost function of C = 25x² – 174x + 22200, where C is the…

A: Given cost function is,

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

A: Given,           A manufacturer of lighting fixtures has daily production costs of  C(x) =…

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.

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Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

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

A: Consider the provided cost function.

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A: Given Cost Function C(x)=0.5x2-x+6200Where x represents the number of shirts produced daily.

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

A: