Question

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

Answer 1

A) 2,000

Explanation:

Find x-coordinate of vertex

`x=-(b)/(2a)\\ \\x=-(12)/(2(-3))\\ \\x=-(12)/(-6)\\ \\x=2`

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

Answer 2

2000

Explanation: