Using Lagrange multiplier method, find the dimensions. X. of a rectangular box o

Question

Using Lagrange multiplier method, find the dimensions. X. of a rectangular box of volume V = 1000 in3 fix which the total length of the 12 edges. f(X). is a minimum. Next, solve the problem again using Lagrange multiplier method for V = 1100 in3. Finally, using the method of Sensitivity Analysis and the value of lambda obtained in part (a), find the change in the value of f(X*) when the volume is changed from 1000 in3 to 1100 in3. Compare this approximate solution with the exact solution found in part (b) above.

Explanation / Answer

X= 7.23

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