Answer:
40 products
Step-by-step explanation:
P=-0.5x²+40x-300
The general form of a quadratic expression is given as y=ax²+bx+c.
If a is positive, the graph opens upwards and we have a minimum point.
If a is negative, the graph opens downward and we have a maximum point.
Comparing
P=-0.5x²+40x-300; and
y=ax²+bx+c
a= -0.5,b= 40, c= -300
To find the maximum point of x,
x=[TeX]-\frac{b}{2a}[/Tex]
=[TeX]-\frac{40}{2X-0.5}[/Tex] =-40/-1 = 40
The company needs to sell 40 products each week to maximize profit.
