Hairdecor Company sells decorative headbands to retailers for $$7\mathrm{.}50.$ The variable cost of goods sold per headband is $$1\mathrm{.}50,$ with a selling commission of $15$ percent. Fixed manufacturing costs total $$37,500$ per month, while monthly fixed selling and administrative costs total $$15,750.$ The income tax rate for Hairdecor Company is $25$ percent. Use $3$ decimal places in calculations.

Required:

a$.$ What is the monthly breakeven point in headbands?

b$.$ What are target sales in headbands to generate a monthly before tax income of $$20,000?$

c$.$ What are target sales in headbands to generate an after tax income of $$22,500?$

d$.$ What is net income assuming Hairdecor Company sells total $20,000$ headbands?