Yatsee corporation has an activity$-$based costing system with three activity cost pools$-$machining, batch stup, and other. The company's overhead costs, which consist of equipment depreciation and indirect labor, have been alloctated to the cost pools already and are provided in the table below.

Activity cost pools

$.$ Machining setting up other total

equipment dep. $$27,2006,80034,00068,000$

indirect labor $2,5001,0001,5005,000$

total $29,7007,80035,50073,000$

Costs in the machining cost pool are assigned to products based on machine$-$hours and cost in the batch setup cost pool are assigned to products based on the number of batches. Costs in the other cost pool are not assigned to products. Data concerning the company's two products and the company's costs appear below

Machine hours Batches

Product Z $4,400400$

Product Q $5,6001,600$

total $10,0002,000$

Product Z Product Q

Sales $ $137,900173,300$

Direct materials $ $59,70043,400$

Direct labor $ $57,50096,000$

A$.$ Calculate activity rates for each activity cost pool using activity$-$based costing?

B$.$ Determine the amount of overhead cost that would be assigned to each product using activity$-$based costing?

C$.$ Determine the product margins for each product using activity$-$based costing?