The profit from a business is described by the function
()=−32+12+75
P
(
x
)
=

3
x
2
+
12
x
+
75
, where x is the number of items made, in thousands, and P(x) is the profit in dollars. How many items will maximize the profit? Hint: What is the maximum (think of the x value in the thousands)

Group of answer choices

2,000

1,000

6,000

4,000

The profit from a business is described by the function 321275 P x 3 x 2 12 x 75 where x is the number of items made in thousands and Px is the profit in dollar class=

Respuesta :

Answer:

2000

Step-by-step explanation:

Answer:

A) 2,000

Step-by-step explanation:

Find x-coordinate of vertex

[tex]x=-\frac{b}{2a}\\ \\x=-\frac{12}{2(-3)}\\ \\x=-\frac{12}{-6}\\ \\x=2[/tex]

Therefore, it will take 2,000 items to maximize the profit