The Yellow Pencil Company sells the best pencils ever made. If the cost of producing

x hundred pencils is given by C x x x ( ) 0.4 29 44 = − + 2 and if the revenue generated from the
sale of x hundred pencils is R x x x ( ) 0.6 19 = − + 2 . Money is in thousands of dollars.

(a) Show all work to find the profit function, P(x)

(b) Show all work (use the formula) to find the vertex of the profit function and
interpret its meaning in the context of this problem.