he revenue from producing q ornamental baskets is given, in dollars, by R(q) = 100q.The cost of producing q baskets is given, in dollars, by C(q) = 1000 + 2q^2.
A. The maximum profit is $25 and this occurs when 125 units are produced.
B. The maximum profit is $250 and this occurs when 25 units are produced.
C. The maximum profit is $50 and this occurs when 125 units are produced. D. The maximum profit is $500 and this occurs when 50 units are produced. E. None of the above is true.
P(q) = R(q) - C(q) = -2q^2 + 100q - 1000
as with all quadratics, the vertex (in this case a maximum) occurs at q = -b/2a = 25
Guess that narrows down the choices, eh?