Problem $4-12($Algo$)$ Contrasting ABC and Conventional Product Cost $[$LO$4-2,$ LO$4-3,$ LO$4-4]$

Precision Manufacturing Incorporated $($PMI$)$ makes two types of industrial component parts$$the EX$300$ and the TX$500.$ It annually produces $70,000$ units of EX$300$ and $13,500$ units of TX$500.$ The company$$s conventional 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:

EX$300$ TX$500$ Total

Direct materials $ $376,325$ $ $172,550$ $ $548,875$

Direct labor $ $130,000$ $ $47,500$ $ $177,500$

The company is considering implementing an activity$-$based costing system that distributes all of its manufacturing overhead to four activities as shown below:

Activity Cost Pool $($and Activity Measure$)$ Manufacturing Overhead Activity

EX$300$ TX$500$ Total

Machining $($machine$-$hours$)$ $ $175,875100,00067,500167,500$

Setups $($setup hours$)262,500125400525$

Product$-$level $($number of products$)202,400112$

General factory $($direct labor dollars$)86,975$ $ $130,000$ $ $47,500$ $ $177,500$

Total manufacturing overhead cost $ $727,750$

Required:

$1-$a$.$ Compute the plantwide overhead rate that would be used in the company$$s conventional cost system.

$1-$b$.$ Using the plantwide rate, compute the unit product cost for each product.

$2-$a$.$ Compute the activity rate for each activity cost pool.

$2-$b$.$ Using the activity rates, compute the unit product cost for each product.