Final answer:
The amount of gross margin for the first year is $12,000.
Step-by-step explanation:
Gross margin is calculated by subtracting the cost of goods sold from the total revenues.
In this case, the cost of goods sold can be calculated by adding the cost of direct materials and the cost of production workers' wages, which is $14,000 + $19,000 = $33,000.
The total revenues can be calculated by multiplying the number of units sold by the selling price per unit, which is 3,000 units * $15.00/unit = $45,000.
Therefore, the gross margin for the first year is $45,000 - $33,000 = $12,000.