Question: Hey I'm doing this exercise and i'm stuck. Thanks for helping. Write the lagrangian function and the first-order condition for stationary values(without solving the equations)

Hey I'm doing this exercise and i'm stuck. Thanks for helping.

Write the lagrangian function and the first-order condition for stationary values(without solving the equations) for this function:

z= x2+2xy+yw2, subject to 2xy+y+w2 and x+w=8

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