Company ABC earns a weekly profit of Pete dollars according to the equation P equals -.5 X squared +40 X -300 where they sell X items each week determine how many items they need to sell each week to maximize the profit

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=

= =-40/-1 = 40

The company needs to sell 40 products each week to maximize profit.

m∠a is 90°

m∠b is 40°