5.
Arrow Feed makes bags of dog food and sells x bags per day. The price per bag of food is given by
p
(
x
)
=
300
−
0.4
x
. Arrow Feed also determines that the cost is given as C
(
x
)
=
1,500
+
200
x
. Find the number of bags of food that should be sold to maximize profit. Then find the price that Arrow Feed should sell the bags of dog food at to maximize profit.
6.
Elliot is trying to build a rectangular pen for his dog, and he has 1450 feet of rope. One side of the pen will
be against the wall so it won’t need to be roped in. What is the maximum area that can be enclosed.
7.
Bully’s Bagels Bakery determines that the total weekly cost, in dollars, to produce x bagels is given by
C
(
x
)
=
0.002
x
3
+
0.07
x
2
+
19
x
+
700
. Currently, Bully’s Bagels Bakery is producing 25 bagels weekly. Use marginal cost to estimate the additional cost for producing and selling 26 bagels per week.
