Bahjat Oman Company produces and sells scientific calculators. The budgeted selling price per unit is $$15.$ Budgeted unit sales in the first half of the year $2021$ is as follows: January $18,000$ units, February $14,000,$ March $28,000,$ April $42,000,$ May $35,000$ and June $32,000$ units. The company's credit policy is to collect $25\%$ of the total sales in the month of sale, and $60\%$ in the month following the sale, and the remaining in the second month following sale. The expected total cash collections in dollars in May is closest to:

a$.$ $$441,000$

b$.$ $$529,500$

c$.$ None of the given answers

d$.$ $$271,500$

e$.$ $$572,250$