Acompany earns a weekly profit of p dollars by selling x items, according to the equation p(x)=-0.5x^2+40x-300 how many items does the company have to sell each week to maximize its profit

The company have to sell 40 items each week to maximize its profit.

Step-by-step explanation:

The given profit function is

            .... (1)

where, p is weekly profit in dollars and x is number of sold items.

In the given function leading coefficient is negative, it means it is a downward parabola and vertex of a down word parabola is point of maxima.

If a parabola is defined as

               .... (2)

then the function is maximum at .

From (1) and (2) we get

The given function is maximum at x=40.

Therefore the company have to sell 40 items each week to maximize its profit.

your answer is b ^w^ hope i