Charlie sells beaded bracelets as a side job. Charlie will have a maximum profit of $12 when he sells 5 bracelets. Construct Charlie’s profit function, p(x), to model his sales, in dollars, as a a function of the number of bracelets he sells.
p(x) = [a] (x-[h])^2 + [k]
Find [h]
To find the value of [h], we need to use the given information that Charlie will have a maximum profit when he sells 5 bracelets. In a profit function of the form p(x) = a(x-h)^2 + k, the x-coordinate of the vertex (h) represents the point where the maximum profit occurs.
Given that Charlie will have a maximum profit when he sells 5 bracelets, we know that h = 5.
Therefore, [h] = 5.