$(12$ points$)$ Penny Black Ltd$.,$ which has only one product, has provided the following data concerning its most recent month of operations:

Selling price

$$108$

Units in beginning inventory

Units produced

Units sold.

Units in ending inventory

Variable costs per unit:

Direct materials

Direct labor

Variable manufacturing overhead

Variable selling and administrative

$$33$

$$21$

$$8$

$$6$

Fixed costs:

Fixed manufacturing overhead

$$446,500$

Fixed selling and administrative

$$125,000$

Required:

a$.$ What is the unit product cost for the month under variable costing?

b$.$ What is the unit product cost for the month under absorption costing?

c$.$ Prepare an income statement for the month using the contribution format and the variable costing method.

d$.$ Prepare an income statement for the month using the traditional format and the absorption costing method.