Step 1:

The average profit on each dress is $\"\"$ .

The average profit on each blouse is $\"\"$ .

The average profit that is manager target is $\"\"$ .

Let $\"\"$ be the number of dress sold.

Let $\"\"$ be the number of blouse sold.

Now to reach manager target, sum of the total profit on dress and blouse should be greater than or equal to $\"\"$ .

$\"\"$

Divide each side by $\"\"$ .

$\"\"$ .

The inequality is $\"\"$ .

Step 2:

The inequality is $\"\"$ .

Express the inequality as $\"\"$ in terms of $\"\"$ .

$\"\"$

The graph of the inequality $\"\"$ is the shaded region, where every point in the shaded region satisfies the inequality.

The graph of the equation $\"\"$ is the boundary of the region. Since the inequality symbol is $\"\"$ , the boundary is drawn as a solid line to show that points on the line satisfies the inequality and the shaded region of the graph of $\"\"$ is the solutions to the inequality.

Graph:

Graph the inequality $\"\"$ .

Shade the required region.

$\"\"$

Note : The solid line indicates that the line satisfies the function.

Step 3: