Final answer:
To estimate the profit when producing 204 units, calculate the total cost and revenue. The total cost of producing 204 units is $2,299.4 and the revenue from producing 204 units is $5,568.2. The profit when producing 204 units is $3,268.8.
Step-by-step explanation:
To estimate the profit when producing 204 units, we need to calculate the total cost and total revenue.
Given that the cost of producing 200 units is $2,265 and the marginal cost is $8.6 per unit, we can calculate the total cost by adding the cost of the additional 4 units: 4 units x $8.6 = $34.4. Therefore, the total cost of producing 204 units is $2,265 + $34.4 = $2,299.4.
The revenue from producing 200 units is $5,577 and the revenue is decreasing by $2.2 per unit. To calculate the revenue from producing 204 units, we can subtract the decrease in revenue for the additional 4 units: 4 units x $2.2 = $8.8. Therefore, the revenue from producing 204 units is $5,577 - $8.8 = $5,568.2.
To calculate the profit, we need to subtract the total cost from the total revenue: $5,568.2 - $2,299.4 = $3,268.8.