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 $$829,500$ 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:

$5.$ What is the activity rate for the Product Design activity cost pool?

$6.$ What is the activity rate for the General Factory activity cost pool?

Note: Round your answer to $2$ decimal places.

$7.$ Which of the four activities is a batch$-$level activity?

$8.$ Which of the four activities is a product$-$level activity?