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

$1.$ What is the company$$s plantwide overhead rate?

$2.$ Using the plantwide overhead rate, how much manufacturing overhead cost is allocated to Product Y and Product Z$?$

$3.$ What is the activity rate for the Machining activity cost pool?

$4.$ What is the activity rate for the Machine Setups activity cost pool?