SOLUTION: The average profit for mixing specialized metallic paints for a small manufacturing company can be modeled by P(q) = q(90 − 5q) where P(q) represents the average profit i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The average profit for mixing specialized metallic paints for a small manufacturing company can be modeled by P(q) = q(90 − 5q) where P(q) represents the average profit i      Log On


   



Question 1025198: The average profit for mixing specialized metallic paints for a small manufacturing company can be modeled by
P(q) = q(90 − 5q)
where P(q) represents the average profit in dollars per quart mixed when q quarts are mixed for one order. Use factoring to find the number of quarts that must be ordered and mixed for the average profit to be $400 per quart. Create a table and check your answer. (Include units with your numerical answers.)
You must order _______ (smaller value) or ______ (larger value) of the specialized metallic paints for the average profit to be $400 per quart.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
q%2890-q%29+=+400
==> q%2818-q%29+=+80
<==> q%5E2+-+18q%2B80+=+0
==> (q-8)(q-10) = 0
==> q = 8, 10.
==> You must order 8 or 10 of the specialized metallic paints for the average profit to be $400 per quart.