Calculus Worksheet
1.
A livestock breeder has 1,200 feet of
fencing, with which he plans to
enclose a rectangular area and then
divide it into two pens by erecting an
inside fence parallel to one pair of
sides. (See figure). What dimensions
should he choose to maximize the
enclosed area?
Note: Figure not to scale.
2.
3.
A livestock breeder has 3,600 feet of
fencing, with which he plans to
enclose a rectangular area and then
divide it into six pens by erecting
inside fences parallel to each pair of
sides. (See figure). What dimensions
should he choose to maximize the
enclosed area?
Note: Figure not to scale.
A tour bus carries tourists through the historic district of Savannah, Georgia, serving 300
customers a day. The charge is $8.00 per person. The company owner estimates that the
company would lose 20 passengers per day for each $1 increase in fare. What charge would
be most profitable for the tour bus company?