Each unit of brand awareness of a product generated by an ad campaign costs $.10 more than the previous one (i. e., the first costs. 1, the second costs. 1 more than that (.2), the third costs. 1 more than that, (.3), etc.), and the overhead cost of $50 is needed to begin the ad campaign. Each unit of awareness generates exactly $5 in revenue.
Find a function that models this in terms of awareness and profit. Profit will be a function of the accumulated awareness. Graph it.
How much awareness gets us to break even?
How much maximizes the profit?
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