Answer:
NO, it's not good to invest in this marketing program.
Explanation:
Quantity Unit TOTAL Income Statement
10,000 $ 25,00 $ 250,000 Total Net Sales
$ 10,00 -$ 100,000 Variable Cost
60% $ 150,000 Contributing Margin
-$ 100,000 Anual Fixed Costs
20% $ 50,000 Segment Margin
Under the actual conditions the company generate a contributing margin of 60% and a segment margin of 20%.
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Quantity Unit TOTAL Income Statement
11,000 $ 25,00 $ 275,000 Total Net Sales
$ 10,00 -$ 110,000 Variable Cost
60% $ 165,000 Contributing Margin
-$ 122,000 Anual Fixed Costs
16% $ 43,000 Segment Margin
If the program it's implemented we get the same Contribution Marging because it doesn't affect the Variable Cost but the Segment Margin it's negativly affected reducing it 4%.
It occurs because the Contribution Margin of the improvement doesn´t cover the total cost of the investment, it generates $15,000 of Contribution Maring but the Cost of the program it's $22,000.