Question 1111818
P = 4000(x − 2)(15 − x) 
:
P = 4000(-x^2 +17x -30) = -4000x^2 +68000x -120000
:
a) P' = -8000x +68000
:
b) -8000x +68000 = 0
:
-8000x = -68000
:
x = 8.5
:
level of production is 8.5 * 100 = 850 units
:
c) since the graph of P is a parabola which curves downward, 850 units represents the level of production that maximizes profit
: