Since profit is revenue less cost, we have
p(x) = 150x - (0.02x^2 + 100x + 3000)
now just find the vertex of that parabola.
A drug manufactured by a pharmaceutical company is sold in bulk at a price of $150
per unit. The total production cost (in dollars) for x units in one week is C(x) =
0.02x^2 + 100x + 3000. How many units of the drug must be manufactured and sold in
a week to maximize the profit? What is the maximum profit?
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2 answers