Given the objective function and constraint equation, use the Method of Lagrange Multipliers to obtain an optimal solution of the following: y= 20A + 101.5V phi= A(230-47.7/V)-5556 = 0

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A: Please refer to the image below

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A: Since you have posted multiple questions we solved the 5th questions for you To get the solution of…

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Q: q= k 1/2 L 3/4 cost function = 2K + 4L =40 calculate the constrained optimization problem

A: We have to find the optimum value of q under the given constraint in the form of the cost function.

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A: We need to find x and y.

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A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: (a) Using Lagrange multipliers calculate the maximum possible output Q when the total input cost is…

A: This is the question of optimization.

Q: The production of a certain product has Cost function C(x)=16000 +120x–0.022x and a price- 3…

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A: answer is in next step

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A: According  to guidelines  we solve one question. Thanku

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Q: Suppose a unit of capital costs $2 and a unit of labour costs $4. The production function is Q = 6KL…

A: Production Function is Q = 18 KL + 6L2   .......(1) (a)  We have to maximize (1) subject to 2K + 4L…