Final answer:
To determine the selling price for Boat 25 with a desired 20 percent profit margin, we calculate the total cost including labor, materials, and allocated overhead, and then apply the profit margin to find a price of at least $24,036.
Step-by-step explanation:
Calculating the Cost of Boat 25
To answer the student's initial request, we need to first calculate the expected overhead allocation rate. This is done by dividing the expected indirect overhead cost by the expected total labor cost, which gives us $237,500 / $125,000 = $1.90 of overhead for every $1 of direct labor. Next, we calculate the total cost of Boat 25, which includes direct labor, direct materials, and allocated overhead. The allocated overhead for Boat 25 would be $5,700 (direct labor) × 1.90 (overhead allocation rate) = $10,830. Adding up all costs: $5,700 (labor) + $3,500 (materials) + $10,830 (allocated overhead), results in a total cost of $20,030.
Now, to calculate the desired selling price to achieve a 20 percent profit margin, we can multiply the total cost by 120 percent: $20,030 × 1.20 = $24,036. Hence, Fanning Corporation should sell Boat 25 for at least $24,036 to achieve their profit goal.
If the boat is not sold by year-end, the amount of inventory for Boat 25 that would appear in the Work in Process Inventory and Finished Goods Inventory is its total cost of $20,030. This cost is estimated based on the applied overhead rate and the actual labor and material costs.