Brand managers know that increasing promotional budgets eventually result in diminishing returns.

Brand managers know that increasing promotional budgets eventually result in diminishing returns. The first one million dollars typically results in a 26% increase in awareness, while the second million results in adding another 18% and the third million in a 5% increase. Andrews’s product Adam currently has an awareness level of 77% . While an important product for Andrews, Adam’s promotion budget will be reduced to one million dollars for the upcoming year. Assuming that Adam loses one-third of its awareness each year, what will Adam’s awareness level be next year?