$1)$ Boylston Corporation has provided the following data for its two most recent years of operation. The company makes a product that it sells for $$75$ per unit. It began Year $1$ with no units in beginning inventory.

Manufacturing costs:

Variable manufacturing cost per unit produced:

Direct materials $ $13$

Direct labor $ $6$

Variable manufacturing overhead $ $4$

Fixed manufacturing overhead per year $ $112,000$

Selling and administrative expenses:

Variable selling and administrative expense per unit sold $ $5$

Fixed selling and administrative expense per year $ $71,000$

Year $1$ Year $2$

Units produced during the year $8,0007,000$

Units sold during the year $7,0004,000$

Units in ending inventory $1,0004,000$

Required: $(15$ points$)$

a$.$ Assume the company uses absorption costing. Compute the unit product cost in each year. $(2\mathrm{.}5$ points$)$

b$.$ Assume the company uses variable costing. Compute the unit product cost in each year. $(2\mathrm{.}5$ points$)$

c$.$ Assume the company uses absorption costing. Prepare an income statement for each year. $(5$ points$)$

d$.$ Assume the company uses variable costing. Prepare an income statement for each year. $(5$ points$)$