During its first year of operations, silverman company paid $14,000 for direct materials and $19,000 for production workers' wages. lease payments and utilities on the production facilities amounted to $17,000 while general, selling, and administrative expenses totaled $8,000. the company produced 5,000 units and sold 3,000 units at a price of $15.00 a unit. what is the amount of gross margin for the first year?

GROSS MARGIN = 33.33%

Explanation:

PRODUCTION COST COMPONENTS

TOTAL PRODUCTION COST = 50,000

TOTAL UNITS PRODUCED = 5,000

UNIT COST= (Total Production Cost / Total Units Produced) = 50,000 / 5,000 = 10  

FINAL GOODS INVENTORY = (Total Units Produced – Total Units Sales) = 5,000 – 3,000 = 2,000

FINAL GOODS INVENTORY AMOUNT = (Final goods Inventory * Unit Cost) = 2,000 * 10 = 20,000

SALES REVENUE= (Sold Units * Sale Price) = (3,000 * 15) = 45,000

COST OF SOLD GOODS (a) = (Sold Units * Unit Cost) = 3,000 * 10 = 30,000

COST OF SOLD GOODS (b) = (Beginning Balance + Production cost – Final Balance) = 0 + 50,000 – 20,000 = 30,000

GROSS MARGIN = ((Sales Revenue – Cost of sold Goods) / Sales Revenues) * 100 = ((45,000 – 30,000) / 45,000) * 100 = 33.33%

COST OF SOLD GOODS (a) Calculated according to the inventory unit cost

COST OF SOLD GOODS (b) Calculated as the difference in inventory