The function f(x) = –2(x – 10)(x – 200) represents a company's monthly profit as a function of the number of items sold, x. what is the maximum monthly profit?

The maximum profit is $18050.

Step-by-step explanation:

Given : The function represents a company's monthly profit as a function of the number of items sold, x.

To find :  What is the maximum monthly profit?

Solution :

First we expand the given function,

Now, the expansion is in the form of quadratic equation,

Whose, vertex is is the x value,

On comparison, we get

Vertex is

Now, to find the profit we substitute the value of x in the function,

x minimum value is 105

The profit is,

Therefore, The maximum profit is $18050.

1. perpendicular

2. parallel

3. perpendicular

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720