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Mathematics Clinic => Calculus => Topic started by: audie on Jun 16, 2021

Title: Of all numbers whose difference is 20, find the two that have the minimum product.
Post by: audie on Jun 16, 2021

Question 1

Find the minimum or maximum value of f (as indicated) subject to the given constraint.

Minimum of f(x, y, z) = xy + z,
subject to x + y + z = 1
◦ Minimum = 0 at (1, 1, -1)
◦ Minimum = 2 at (1, 1, 1)
◦ Minimum  =  at (1, 1, -1)
◦ Minimum = 1 at (0, 0, 1)

Question 2

Of all numbers whose difference is 20, find the two that have the minimum product.
◦ 0 and 20
◦ 40 and 20
◦ 1 and 21
◦ 10 and -10

Title: Of all numbers whose difference is 20, find the two that have the minimum product.
Post by: Kimmy on Jun 16, 2021

Answer 1

Minimum = 0 at (1, 1, -1)

Answer 2

10 and -10