Hickory Company manufactures two products $-13,000$ units of Product $Y$ and $5,000$ units of Product $Z.$ The company uses a plantwide overhead rate based on direct labor$-$hours. It is considering implementing an activity$-$based costing $(ABC)$ system that allocates all $$630,000$ of its manufacturing overhead to four cost pools. The following additional information is available for the company as a whole and for Products $Y$ and $Z$ :

$\backslash$table$[[,,$Estimated Overhead,$],[$Activity cost Pool,Activity Measure,Cost,Expected Activity$],[$Machining$,$Machine$-$hours,$$228,000,12,000$ MHs$],[$Machine setups,Number of setups,$$40,000,100$ setups$],[$Product design,Number of products,$$74,000,2$ products$],[$General factory,Direct labor$-$hours,$$288,000,14,400$ DLHs$]]$

$\backslash$table$[[$Activity Measure,Product Y$,$Product Z$],[$Machine$-$hours,$10,000,2,000],[$Number of setups,$40,60],[$Number of products,$1,1],[$Direct labor$-$hours,$7,000,7,400]]$

What is the activity rate for the Product Design activity cost pool?