Problem

Hi-Tek Manufacturing. Incorporated, makes two types of industrial component parts-the B300 and the T500. An absorption costing income statement for the most recent period is shown:
Hi-Tek produced and sold 60.000 units of $B 300$ at a price of $\$ 19$ per unit and 12,600 units of $T 500$ at a price of $\$ 40$ per unit. The company's traditional cost system allocates manufacturing overhead to products using a plantwide overhead rate and direct labor dollars as the allocation base. Additional information relating to the company's two product lines is shown below.

The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek's ABC implementation team concluded that $\$ 52000$ and $\$ 101,000$ of the company's advertising expenses could be directly traced to B300 and T500. respectively. The remainder of the selling and administrative expenses was organization-sustaining in nature. The ABC team also distributed the company's manufacturing overhead to four activities as shown below:
Required:
1. Compute the product margins for the $B 300$ and $T 500$ under the company's traditional costing system.
2. Compute the product margins for $B 300$ and $T 500$ under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
Complete this question by entering your answers in the tabs below.
Compute the product margins for the B300 and T500 under the company's traditional costing system. (Round your amole dollar amount.)

Answer

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Answer

\(\boxed{\text{Under the traditional costing system, the product margin for B300 is } -\$408,000 \text{ and for T500 is } -\$12,600}\)

Steps

Step 1 :Calculate the total revenue for B300: \(60000 \times 19 = 1140000\)

Step 2 :Calculate the total direct labor cost for B300: \(60000 \times 8 = 480000\)

Step 3 :Calculate the total direct material cost for B300: \(60000 \times 5 = 300000\)

Step 4 :Calculate the total overhead cost for B300: \(60000 \times 1.6 \times 8 = 768000\)

Step 5 :Calculate the product margin for B300: \(1140000 - 480000 - 300000 - 768000 = -408000\)

Step 6 :Calculate the total revenue for T500: \(12600 \times 40 = 504000\)

Step 7 :Calculate the total direct labor cost for T500: \(12600 \times 10 = 126000\)

Step 8 :Calculate the total direct material cost for T500: \(12600 \times 15 = 189000\)

Step 9 :Calculate the total overhead cost for T500: \(12600 \times 1.6 \times 10 = 201600\)

Step 10 :Calculate the product margin for T500: \(504000 - 126000 - 189000 - 201600 = -12600\)

Step 11 :\(\boxed{\text{Under the traditional costing system, the product margin for B300 is } -\$408,000 \text{ and for T500 is } -\$12,600}\)

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