Answer
maximum profit $P(x)=4950$
cans of soda $x=1500$
Work Step by Step
Calculate the maximum of the function by substituting the values from the function into $x_{MAX}=\frac{-b}{2a}\rightarrow x_{MAX}=1500$ which is the number of cans of soda.
Then substitute $x=1500$ into the function to get the maximum profit.
