Question 1050626
1.  g(x) = -2x^2 - 6x 
Completing Square:
g(x) = -2(x^2 - 3x)
g(x) = -2(x^2 - 3x + (3/2)^2) + 2(3/2)^2
g(x) = -2(x  - 3/2)^2 + 9/2
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Revenue functions R(x) = px  where  p is a function of x (price p at x produced, for ex.)
2.
p = 2400 - 6q
R(q) = (2400-6q)q
R(q) = -6q^2)+ 2400q
Completing Square:
R(q) = -6(q^2 - 400q)
R(q) = -6(q^2 - 400q + 200^2)+ 6(200^2)
R(q) = -6(q - 200)^2 + 6(200^2)  Parabola Opening Downward V(200, 240,000)
q = 200 maximizes Revenue = $240,000