Answer each letter and provide a comprehensive explanation for each answer.

LO$\mathrm{.}2($Cost behavior$)$ Spirit Company produces baseball caps. The company incurred the following costs to produce $12,000$ caps last month:

a$.$ What did each cap component cost on a per$-$unit basis?

b$.$ What is the probable type of behavior that each of the costs exhibits?

c$.$ The company expects to produce $10,000$ caps this month. Would you expect each type of cost to increase or decrease? Why? Can the total cost of $10,000$ caps be determined? Explain.