Question

Sutherland manufactures and sells 50,000 laser printers each month. A principal component part in each printer is its paper feed drive. Sutherland's plant currently has the monthly capacity to produce 80,000 drives. The unit costs of manufacturing these drives (up to 80,000 per month) are as follows. Variable costs per unit: Direct materials $ 23 Direct labor 15 Variable manufacturing overhead 2 Fixed costs per month: Fixed manufacturing overhead $ 1,300,000 Desk-Mate Printers has offered to buy 10,000 paper feed drives from Sutherland to be used in its own printers. a. Compute the average unit cost of manufacturing each paper feed drive assuming that Sutherland manufactures only enough drives for its own laser printers. b. Compute the incremental unit cost of producing an additional paper feed drive. c. Compute the per-unit sales price that Sutherland should charge Desk-Mate to earn $140,000 in monthly pretax profit on the sale of drives to Desk-Mate.

Answer 1

Answer:

Sutherland

a. The average unit cost of manufacturing each paper feed drive is:

= $56.25.

b. The incremental unit cost of producing an additional paper feed drive is:

= $170.

c. The per-unit sales price that Sutherland should charge Desk-Mate to earn $140,000 in monthly pre-tax profit on the sale of drives to Desk-Mate is:

= $184.

Explanation:

a) Data and Calculations:

Production and sales of laser printers per month = 50,000

Monthly production capacity for paper feed drives = 80,000

Unit costs of producing drives:

Variable costs per unit:

Direct materials                                 $ 23

Direct labor                                            15

Variable manufacturing overhead        2

Variable cost per unit                       $40   $3,200,000 (80,000 * $40)

Fixed costs per month:

Fixed manufacturing overhead                  $1,300,000

Total production costs =                            $4,500,000

Average unit cost =                                     $56.25 ($4,500,000/80,000)

Incremental unit cost of producing an additional paper feed drive:

Variable cost = $40 * 10,000 =         $400,000

Additional fixed cost per month = $1,300,000

Total incremental costs =              $1,700,000

Unit cost = $170 ($1,700,000/10,000)

Total incremental costs =   $1,700,000

Monthly pre-tax target profit   140,000

Expected sales revenue = $1,840,000

Sales price per drive = $184 ($1,840,000/10,000)