Revenue of the new company is .

Start up cost is .

Where is number of products sold.

The net profit that the company will make in the first year is equal to .

Subustiute and in .

.

.

.

Subustiute to write an inequality to determine how many products must the company sell to make the profit of atleast .

.

The function is .

can be written as .

Let .

Draw the coordinate plane.

Graph the function .

Graph :

Observe the graph :

The function has zeros at and .

Therefore has real zeros at and .

Create a sign chart using the values and .

Note : The solid circle denote that the value are included in the solution set.

Observe the sign chart :

The set of value of denoted in blue color represents the solution set.

Determine whether is positive or negative on the test intervals.

Test intervals are and .

If ,then .

If , then .

If ,then .

The solutions of are values is positive or equal to .

From the graph the solution set is or .

The company must sell products to make a profit of atleast .