My Ai said
“To find the number of items he needs to sell to earn the greatest possible profit, we can use the equation P(x) = -0.00405x^2 + 8.15x - 100, where P(x) represents the profit earned by selling x items.
To determine the greatest possible profit, we need to find the vertex of the quadratic equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation.
In this case, a = -0.00405 and b = 8.15. Plugging these values into the formula, we get:
x = -8.15 / (2 * -0.00405)
Simplifying further:
x = 2012.35
Since we can't sell a fraction of an item, we round up to the nearest whole number. Therefore, he needs to sell 2013 items to earn the greatest possible profit.
I hope this helps! Let me know if you have any more questions or need further assistance”.
