TEST
3A Key
(Chapter 4)
NAME:
Class ID #:
1) An appliance firm determines to sell
q
unit, the price per unit is given by
p
= 400 
q
it also determines that
the total cost of producing
q
radios is given by:
C
(
q
) = 1000 +
q
2
. How many units must be produced and
sell to maximize the profit
100 units
2) An apartment complex can fill 100 units when the rent is $400 per month. It is estimated that for each $10 per
month decrease in rent, 5 more units will become occupied. The complex has a monthly maintenance cost of
$100 for each unit rented. What monthly rent should be charged to maximize the profit?
$ 350
3) A rectangular play area to be fenced off beside Bob's house. Bob agreed to pay the cost of the side beside
his house, also he agreed to pay 1/2 of the cost for two sides and 1/3 of the cost for the other side that he
shares with his neighbors. if he has $240, what are the dimensions for the largest area?
90
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 Fall '09
 MaanOmran
 Math, Derivative, Inflection Points, #, Convex function, Concave function

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