PROBLEM $5-17.$ Variable and Full Costing Income: Comprehensive Problem $[$LO $1,2]$ The following information relates to Jorgensen Manufacturing for calendar year $2017,$ the company's first year of operation:

$\backslash$table$[[$Units produced,$8,000,],[$Units sold,$7,000,],[$Selling price per unit,$$5,500,],[$Direct material per unit,$$2,000,],[$Direct labor per unit,$$1,200,],[$Variable manufacturing overhead per unit,$$,900],[$Variable selling cost per unit,$$,225],[$Annual fixed manufacturing overhead,$$800,000,],[$Annual fixed selling and administrative expense,$$400,000,]]$

a$.$ Prepare an income statement using full costing.

b$.$ Prepare an income statement using variable costing.

c$.$ Calculate the amount of fixed manufacturing overhead that will be included in ending inventory under full costing and reconcile it to the difference between income computed under variable and full costing.

d$.$ Suppose that the company sold $8,000$ units during the year. What would the variable costing net income have been? What would the full costing net income have been?