Question 147714
If we graph {{{R=-15p^2+300p+1200}}} using a graphing calculator, we get:


{{{ drawing(500, 500, -50, 50, -350, 3000,
 graph( 500, 500, -50, 50, -350, 3000, -15x^2+300x+1200  )

)}}} Graph of {{{R=-15p^2+300p+1200}}} 


From the graph, we can see that the highest point on the graph is (10,2700) (you can use the "min/max" feature to find this point).


Since the highest point has the y-value 2700, this means that the max revenue is $2700. This max revenue occurs when the price is $10 (since the x-value of the vertex is x=10).

Also, the reason why the graph is parabolic is because the equation is a quadratic.