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 function of the number of bracelets he sells.
p(x) = [a] (x - [h])2 - [k]
FIND A, H, AND K
Given that Charlie's maximum profit is $12 when he sells 5 bracelets, we can use this information to solve for the coefficients a, h, and k in the profit function p(x).
Let's assume the profit function is a quadratic function of the form: p(x) = a(x - h)^2 + k
Plugging in the values from the given information:
p(5) = 12
12 = a(5 - h)^2 + k
Now we have one equation with two unknowns (a and h) which is not solvable. Additional information will be needed in order to properly find the values of a, h, and k in the profit function.