The profit, y, be selling x pretzels is found by the formula y = -0.002x^2 + 1.6x -350. Find the number of pretzels that must be sold to maximize profit.
To find the number of pretzels that must be sold to maximize profit, we need to determine the value of x that corresponds to the maximum value of y in the given profit function.
The profit function is given as:
y = -0.002x^2 + 1.6x - 350
To find the maximum value of y, we need to find the vertex of the parabolic function. The x-coordinate of the vertex can be found using the formula:
x = -b / (2a)
In this case, a = -0.002 and b = 1.6.
Plugging in the values, we get:
x = -1.6 / (2 * (-0.002))
x = -1.6 / (-0.004)
x = 400
So, the number of pretzels that must be sold to maximize profit is 400.