Engine Builders Motor Company exports and rebuilds automobile engines that have been damaged or are in need of extensive repair. The rebuilt engine is purchased by auto shops, large motor pools in companies and governmental units, and some individual auto owners from neighbouring ASEAN countries. The plant in Santa Rosa, Laguna, rebuilds approximately $600$ to $800$ engines each month, and the costs of the plant are assigned to monthly production using weighted$-$average process costing. The current month began with a WIP inventory of $100$ engines, which were $50$ percent complete as to materials and $50$ percent complete as to conversion costs. The materials costs in the beginning WIP inventory were $$50,000,$ while the conversion costs were $$60,000.500$ engines were rebuilt and shipped out during the month, and total materials cost of $$550,000$ and conversion cost of $$640,000$ were incurred during the month. The ending WIP inventory was $50$ percent complete regarding materials and $30$ percent complete regarding conversion cost.

Units Materials Conversion

Beginning WIP Percentage Complete $10050\%50\%$

Cost in Beginning Inventory $ $50,000$ $ $60,000$

Current Cost Incurred $ $550,000$ $ $640,000$

Ending WIP Percentage Complete $20050\%30\%$

Units Completed $500$

Calculate equivalent units. What's the cost per equivalent unit for materials and conversion for the month? Show your calculation.