$.$ Account Analysis and Contribution Margin Income Statement. Madden Company would like to estimate costs associated with its production of football helmets on a monthly basis. The accounting records indicate the following production costs were incurred last month for $4,000$ helmets.

Assembly workers$$ labor $($hourly$)$ $$70,000$

Factory rent $3,000$

Plant manager$$s salary $5,000$

Supplies $20,000$

Factory insurance $12,000$

Materials required for production $20,000$

Maintenance of production equipment $($based on usage$)18,000$

Required:

Use account analysis to estimate total fixed costs per month and the variable cost per unit. State your results in the cost equation form Y $=$ f $+$ vX by filling in the dollar amounts for f and v$.$

Estimate total production costs assuming $5,000$ helmets will be produced and sold.

Prepare a contribution margin income statement assuming $5,000$ helmets will be produced, and each helmet will be sold for $$70.$ Fixed selling and administrative costs total $$10,000.$ Variable selling and administrative costs are $$8$ per unit.