Tugas 2
Problem #1
Emanuel, the duck, wants to throw a birthday for his
friend Oscar, the alligator. Emanuel predicted the
cost according to the equation
,
where x is equal to the number of guests and f(x) is
equal to the total cost of the party in thousands of
dollars. Using this equation, what is the total cost of
the party if Emanuel invites the whole swamp, which
has an infinite number of inhabitants?
Problem #2
Emanuel decides to open a t-shirt company. He
produces t-shirts for $5.00 each and sells them for
$15.00 and can sell 500 shirts at that price. Emanuel
finds that for every $0.15 the price is lowered, 20
more shirts can be sold. What price maximizes
profit? How many shirts are sold at that price?
Problem #3
A local tour boat was heading towards shore to drop
off some tourists, when it began to have engine
failure. The boat was then carried by the tide. Scuba
Steve noticed the boat in trouble and decided to jump
in and save the people. The boat's path is defined by
where x=the distance parallel
down the beach in miles and D(x)=the distance out
from shore in miles. If Scuba Steve is on shore and 4
miles down the beach, what is the equation of the
tangent line he would need to swim in order to meet
up with the boat if the boat is now stopped?
Problem #4
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