Consider the problem f (x) subject to g;(x) = 0, minimize %3D

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Q: Given the marginal revenue function MR: -x3 + 2x2 + 4x – 1. Find the revenue function.

A: Given, marginal revenue function:                                MR=-x3+2x2+4x-1

Q: Find the number of units x that minimizes the average cost per unit C. C- 0.03x + 30x + 30,720

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

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Q: If the total cost function for a product is C(x) = 120(0.02x + 5)³ dollars, where x represents the…

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

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Q: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is…

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Q: g(x) = Vx is reflected over the y-axis and vertically compressed by a factor of ¼ %3|

A: Given function is gx=x We have to find the transformed function which is reflected over the y-axis…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

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A: Given: For a group of size x, the fraction of time spent scanning for predators is S(x)=2541x+1 and…

Q: Suppose that the cost function is C(x)= x2 + 5x + 144. Find the value of x that minimizes the…

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Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

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Q: Write the formula for the cost function C(x) in terms of R(x) and P(x).

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Q: C = 0.04x3 + 51x² + 1285 X = units

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Q: If the total cost function for a product is C(x) = 3(x + 2)° dollars, where x represents the number…

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Q: An island is 3 kilometers due north of its closest point along a straight shoreline. A visitor is…

A: Choose the point Q in between the Shoreline, and consider the path PQR. Let x be the distance that…

Q: Given the cost function C(x) = 5x - 11x + 13x +8, find the minimum marginal cost. %3D

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Q: An island is 2 miles due south of its closest point along a straight shoreline. A visitor is staying…

A: Model the given problem as below.

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Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

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Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 7 mi from…

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Q: A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is…

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Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x + 60x + 200,…

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Q: For the cost function C(x)=300+10x+0.03x^2, show that average costs are minimized at the x value…

A: Given data: The expression for the cost function is C(x)=300+10x+0.03x2.   The expression for the…

Q: Suppose the cost function is given by C (x) =2e3x. Find the x-value which minimizes the average…

A: It is given that, the cost function is given by C (x) =2e3x. We have to find the value of x which…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: If the total cost function for a product is  C(x) = 80(0.02x + 5)3 dollars,  where x represents the…

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: Consider a problem of consumer with objective of minimizing expenditure on x and y, while…

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