Homework Clinic
Mathematics Clinic => Calculus => Topic started by: bobbie on Jun 16, 2021
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Question 1
Find the minimum or maximum value of f (as indicated) subject to the given constraint.
Maximum of f(x, y) = 4xy,
subject to x + y = 8
◦ Maximum = 72 at (0, 8)
◦ Maximum = 64 at (4, 4)
◦ Maximum = 64 at (3, 5)
◦ Maximum = 72 at (2, 6)
Question 2
Find the minimum or maximum value of f (as indicated) subject to the given constraint.
Minimum of f(x, y) = x2 - 14x + y2 - 16y,
subject to 2x + 3y = 12
◦ Minimum = -15 at (0, 1)
◦ Minimum = -24 at (2, 0)
◦ Minimum = -68 at (1, 5)
◦ Minimum = -61 at (3, 2)
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Answer 1
Maximum = 64 at (4, 4)
Answer 2
Minimum = -61 at (3, 2)