SOLUTION: Please help me solve this problem: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dolla

Question 1034547: Please help me solve this problem: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x2+ 3x � 1800.
a. What is his maximum profit per day?
b. How many cans must be sold in order to obtain the maximum profit?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
When is a maximum, the formula
for the x-value is:
when the form of the equation is:

-----------------------
Plug this value back into equation to get

-------------------
(a)
His maximum profit/day is $450
(b)
He must sell 1500 cans/day to reach this profit
-----------------------
Here's the plot:

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