Final answer:
To receive a total monthly income of $2,220, the licensee's monthly sales must be $54,000.
Step-by-step explanation:
To determine the monthly sales needed for the licensee to receive a total monthly income of $2,220, we can set up an equation.
Let's denote the monthly sales as 'x'. The licensee's salary is $600 per month, and they also receive one-half of the office's 6% fee on all sales. This fee can be calculated as 0.5*0.06*x = 0.03x.
So, the equation becomes:
600 + 0.03x = 2,220
Now, we can solve for 'x' by isolating it on one side of the equation:
0.03x = 2,220 - 600
0.03x = 1,620
x = 1,620 / 0.03
x = 54,000
Therefore, the licensee's monthly sales must be $54,000 for them to receive a total monthly income of $2,220.