A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x + 25000, where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) units

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A: Consider the given information and the figure:

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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 = 0.5x2 + 15x + 5000…

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Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: P(x,y)=96x34.y14 Labor cost =$144 Capital cost =$1875 cost =144x+1875y

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

A: To find the number of units that should be produced at each location to minimize the cost.

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Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: 12) A manufacturer has determined that the total cost C of operating a factory is C= 3x² + 70x +…

A: We have given: The total cost C(x) = 3x2 + 70x + 2700, where x is the number of units produced.

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A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

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Q: A company that produces cell phones has a cost function of C = 4x² – 50x + 13298, where C is the…

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Q: Given the cost function C(x) = x3 - 6x2 + 13x + 15, find the minimum marginal cost.

A: Given, cost function C(x) = x3 - 6x2 + 13x + 15 To evaluate minimum marginal cost.

Q: (a) Suppose that c(x) = x³ – 20x² + 20, 000x %3D is the cost of manufacturing x items. Find a…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by…

A: Given that the labor cost is approximated by the function Lx,y=32x2+y2-8x-6y-2xy+197.Here x is…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 0.5x² + 15 + 5000…

A: Given cost function is C=0.5x2+15x+5000 The average cost per unit is given by…

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Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

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A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

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Q: Suppose a manufacturer has determined that the total cost C of operating a factory is C =0.4x² + 17x…

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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 manufacturer has determined that the total cost C of operating a factory is C = 1.5x2 + 45x +…

A: Given that the cost function is C = 1.5x2 + 45x + 15000. So the average cost function is A=Cx=1.5x2…

Q: Use the Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

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

A:

Q: A company that produces cell phones has a cost function of C = 21æ² – 555x + 14960, where C is the…

A:

Q: Find the number of units x that minimizes the average cost per unit C. C = 0.03x3 + 30x + 20,580 X =

A: The given question can be solved as shown in step2.

Q: A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km…

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Q: 12) A manufacturer has determined that the total cost C of operating a factory is C= 3x? + 50x +…

A: We first find the average cost function

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Firstly we have to solve for average cost per unit as given in the question.  Then apply…

Q: A cable runs along the wall from C to P at a cost of $3 per meter, and straight from P to M at a…

A: AC = 18, AM= 8 (given)  CP = x , AP = AC-PC = 18-x  In △APM , PM2 = AP2 +AM2…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -…

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx,…

Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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