A retailer has a beginning monthly inventory valued at $$60,000$ at retail and $$25,000$ at cost$.$ Net purchases during the month are $$150,000$ at retail and $$70,000$ at cost$.$ Transportation charges are $$7,000.$ Sales are $$150,000.$ Markdowns and discounts equal $$20,000.$ A physical inventory at the end of the month shows merchandise valued at $$10,000($at retail$)$ on hand. Compute the following:

a$.$ Total merchandise available for sale $$ at cost and at retail

b$.$ Cost complement

c$.$ Ending retail book value of inventory

d$.$ Stock shortages

e$.$ Adjusted ending retail book value

f$.$ Gross profit