Find the minimum in the function of the previous problem subject to the constraint x + y
Question:
Find the minimum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by the method of undetermined multipliers.
Previous Problem
Find the location of the minimum in the function
f = f (x,y) = x2 − x − y + y2
considering all real values of x and y. What is the value of the function at the minimum?
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