The Lagrangian is
with partial derivatives (all set equal to 0)
for , and
Substituting each into the second sum gives
Then we get two critical points,
or
At these points we get a value of , i.e. a maximum value of
and a minimum value of
.
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of th
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