Question: Find the maximum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by

Find the maximum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by Lagrange’s method of undetermined multipliers.

Previous Problem

Find the location of the maximum in the function

f = f (x,y) = x² − 6x + 8y + y²

considering the region 0 < x < 2 and 0 < y < 2.

What is the value of the function at the maximum?

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