Final answer:
To hit the company's income goal after the launch of the new campaign, a contribution margin percentage greater than 100% would be required, which is not feasible.
Step-by-step explanation:
To calculate the contribution margin percentage needed to hit the company's income goal, we need to first calculate the current net income and the net income after the launch of the new campaign.
Currently, the company's annual sales are $600,000 and fixed costs are $95,000. Therefore, the current net income is $600,000 - $95,000 = $505,000.
After the launch of the new campaign, the annual sales are expected to increase by 20%, which means the new annual sales will be $600,000 + ($600,000 * 0.20) = $720,000. The additional monthly cost of the new campaign is $9,000.
To calculate the required contribution margin percentage, we can use the following formula:
Contribution Margin Percentage = (Net Income Goal - Fixed Costs - Additional Monthly Cost of New Campaign) / New Annual Sales
Substituting the values, we get:
Contribution Margin Percentage = ($19,000 - $95,000 - $9,000) / $720,000
Contribution Margin Percentage = $-85,000 / $720,000
Contribution Margin Percentage = -0.1181
To hit the company's income goal, a negative contribution margin percentage is not possible. It is important to note that in this case, the company would need a contribution margin percentage greater than 100% to achieve the income goal, which is not feasible.