Max makes and sells posters. The function
p(x)= -10x^2 +200x -250,
graphed below, indicates how much profit he makes in a month if he sells the posters for 20-x dollars each. (Picture in comments) What should Max charge per poster to make the maximum profit, and what is the maximum profit he can make in a month?
A: $800 at $10 per poster
B: $800 at $5 per poster
C: $750 at $10 per poster
D: $750 at $5 per poster

Question

Max makes and sells posters. The function 
p(x)= -10x^2 +200x -250, 
graphed below, indicates how much profit he makes in a month if he sells the posters for 20-x dollars each. (Picture in comments) What should Max charge per poster to make the maximum profit, and what is the maximum profit he can make in a month? 
A: $800 at $10 per poster
B: $800 at $5 per poster
C: $750 at $10 per poster
D: $750 at $5 per poster

anonymous · Answer

I know this is late, but I hope it can help others.
The answer is C: $750 at $10
Hint: Look at the highest point of the graph.