Mr. Aughinbaugh and Mr. Lloyd decide to leave their teaching jobs and open a business selling Gizmos and DooDads. The cost to produce a Gizmo is $4 and the cost to make a DooDad is $8. They have $24 to start their business. Using their Profit equation P=6x+9y where x is the number of Gizmos and y is the number of DooDads they sell, how many of each should they sell to maximize their profits, based on their constraints.