Beginning inventory, purchases, and sales data for portable game players are as follows: April $1$: Inventory $180$ units at $$40$

April $10$: Sales $140$ units

April $15$: Purchase $210$ units at $$42$

April $20$: Sale $170$ units

April $24$: Sale $60$ units

April $30$: Purchase $240$ units at $$46.$

Assume that the business maintains a perpetual inventory system, costing by the last$-$in$,$ first$-$out method. Determine the cost of merchandise sold for each sale and the inventory balance after each sale, presenting the data in the form illustrated in Exhibit $4.$