Final answer:
If revenues increase by $20,000, the operating income will increase by $6,000. Correct option is a.
Step-by-step explanation:
The contribution margin ratio is the percentage of each revenue dollar that remains after covering variable expenses. In this case, the contribution margin ratio is 30%. So, if revenues increase by $20,000, the contribution margin will increase by 30% of $20,000, which is $6,000.
Operating income is calculated by subtracting fixed expenses from the contribution margin, so an increase of $6,000 in contribution margin will increase the operating income by the same amount. Therefore, option a. operating income will increase by $6,000 is correct.