Find the maximum in the function of the previous problem subject to the constraint x + y
Question:
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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We replace y by 2 x This vanishes at x 0 corresponding to 02 w...View the full answer
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