Lynch Company manufactures and sells a single product. The following costs were incurred during the company’s first year of operations: Variable costs per unit: Manufacturing: Direct materials $6Direct labor $9Variable manufacturing overhead $3Variable selling and administrative $4Fixed costs per year: Fixed manufacturing overhead$300,000Fixed selling and administrative$190,000 During the year, the company produced 25,000 units and sold 20,000 units. The selling price of the company’s product is $50 per unit. Required:1. Assume that the company uses absorption costing:a. Compute the unit product cost. b. Prepare an income statement for the year.2. Assume that the company uses variable costing:a. Compute the unit product cost. b. Prepare an income statement for the year.

Instructions are below.

Explanation:

Giving the following information:

Variable costs per unit:

Direct materials $6

Direct labor $9

Variable manufacturing overhead $3

Variable selling and administrative $4

Fixed costs per year:

Fixed manufacturing overhead$300,000

Fixed selling and administrative $190,000

During the year, the company produced 25,000 units and sold 20,000 units.

The selling price of the company’s product is $50 per unit.

The difference between the absorption costing and variable costing methods is that the first one includes the fixed manufacturing overhead to the product cost.

1) Absorption costing:

Unitary fixed overhead= 300,000/25,000= $12 per unit

Unitary product cost= 6 + 9 + 3 + 12= $30

Income statement:

Sales= 20,000*50= 1,000,000

COGS= (20,000*30)= (600,000)

Gross profit= 400,000

Total selling and administrative= (190,000 + 20,000*4)= (270,000)

Net income= 130,000

2) Variable costing method:

Unitary variable cost= 6 + 9 + 3= $18

Income statement:

Sales= 1,000,000

Variable cost= (20,000*22)= (440,000)

Contribution margin= 560,000

Fixed manufacturing overhead= (300,000)

Fixed selling and administrative= (190,000)

net income= 70,000