SOLUTION: The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model: C(q) = 2,200 + 90q2, where q is the reduction in to

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model: C(q) = 2,200 + 90q2, where q is the reduction in to      Log On

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Question 1045990: The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model:
C(q) = 2,200 + 90q2,
where q is the reduction in toxicity (in pounds of PCPs removed per day) and C(q) is the daily cost (in dollars) of this reduction.
(a) Find the cost of removing 10 pounds of PCPs per day.
(b) Government subsidies for toxic waste cleanup amount to
S(q) = 500q,
where q is as above and S(q) is the daily dollar subsidy. The net cost function is given by N = C − S. Give a formula for N(q).
N(q) =
(c) Find N(20).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
+C%28q%29+=+2200+%2B+90q%5E2+
+C%2810%29+=+2200+%2B+90%2A10%5E2+
+C%2810%29+=+2200+%2B+9000+
+C%2810%29+=+11200+
$11,200
-----------------------------
(b)
+S%28q%29+=+500q+
+N%7Bq%29+=+C%28q%29+-+S%28q%29+
+N%28q%29+=+2200+%2B+90q%5E2+-+500q+
---------------------------------
(c)
+N%2820%29+=+2200+%2B+90%2A20%5E2+-+500%2A20+
+N%2820%29+=+2200+%2B+90%2A400+-+10000+
+N%2820%29+=+2200+%2B+36000+-+10000+
+N%2820%29+=+2200+%2B+26000+
+N%2820%29+=+28200+
$28,200